GRK 1523:  Quantum and Gravitational Fields

• Subject Area: Particles, Nuclei and Fields ; Mathematics
• Term: from 2009 to 2018
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 64530186

• Final Report Year: 2018

Final Report Abstract

Im Zentrum des Graduiertenkollegs (GRK) standen die Untersuchung von Quantenfeldtheorien (QFT) und Gravitationstheorien (GT) sowie deren Wechselspiel. Quantenfelder beschreiben die fundamentalen Wechselwirkungen der Elementarteilchenphysik und sind wesentlich für die Konstruktion von Theorien jenseits des Standardmodells. Die auf großen Skalen dominierende universelle Gravitationskraft wird dagegen sehr erfolgreich durch das Gravitationsfeld beschrieben. Beide Theorien profitieren von der methodischen Nähe und gegenseitigen Befruchtung von Physik und Mathematik, insbesondere der Differentialgeometrie, Funktionalanalysis, Numerik und Stochastik. Wegen der inhaltlichen und methodischen Nähe der Teilprojekte und deren Leiter, der zahlreichen Arbeitstreffen und Seminare gab es vielfältige Vernetzungen innerhalb und zwischen den Schwerpunkten. Viele international beachtete Forschungsergebnisse des GRK erschienen in mehr als 200 Publikationen in hoch angesehenen Fachzeitschriften. So wurden mit der AdS/CFT Korrespondenz stark gekoppelte QFTs mit chiraler Anomalie genauer untersucht (Ammon). Hierbei wurden unter anderem neue modulierte Phasen im Wechselspiel mit quantenkritischen Punkten gefunden. Auch wurde erstmalig der chiral magnetische Effekt fernab des Gleichgewichts studiert, und neue Transportkoeffizienten in Anwesenheit starker externer Magnetfelder identifiziert. Ein Projekt aus der mathematischen Physik (Lenz, Hasler) handelte vom Langzeitverhalten physikalischer Systeme. Diese werden durch Halbgruppen mit Markoveigenschaften erfasst. Eine wichtige Anwendung sind Halbgruppen von Schrödingeroperatoren mit starker Unordnung. Die Untersuchungen wurden ergänzt durch die Untersuchung von Schrödingeroperatoren mit aperiodischer Ordnung. E. Novak und Mitarbeiter bewiesen Fehlerabschätzungen für randomisierte Algorithmen, insbesondere für Markov Chain Monte Carlo (MC) Algorithmen. Damit wurden Algorithmen, wie sie zur Simulation von Spin-Systemen verwendet werden, mathematisch exakt analysiert. Für gewisse Approximationsprobleme kann der Fluch der Dimension gebrochen werden. Im Projekt über supersymmetrische Feldtheorien (Wipf) wurden diese mit Renormierungsgruppenmethoden (FRG) analysiert und auf Höchstleistungsrechnern simuliert. Es wurden Teilchenmassen bestimmt, Renormierungsflüsse im Rahmen der FRG konstruiert, die Emergenz der Supersymmetrie auf großen Skalen demonstriert und Fixpunkte von einfachen supersymmetrischen Feldtheorien analysiert. Im Teilprojekt über effektive Wirkungen (Gies) wurden wesentliche neue Evidenzen für die Quantisierbarkeit der Gravitation gefunden: dazu gehören die Resultate, dass die in der Natur beobachtete Existenz leichter Fermionen in Zahl und Eigenschaft mit asymptotisch sicherer Quantengravitation kompatibel ist, und dass die Divergenz des 2-loop Counter-Terms, die störungstheoretische Quantisierung verhindert, im Szenario asymptotischer Sicherheit kontrolliert entfernt wird. Im GRK wurden auch Schwarze Objekte in höher-dimensionalen Kaluza-Klein Theorien mit kompakten Raumdimensionen untersucht (Ansorg, Ammon). Mittels Spektralmethoden wurden hochpräzise stationären Lösungen gefunden, die zwischen Schwarzen Löchern und Schwarzen Strings interpolieren. Die hierbei auftretende singuläre Zwischenlösung wurde erstmalig numerisch konstruiert und dessen kritische Exponenten bestimmt. In einem Teilprojekt aus der Differentialgeometrie (Matveev) wurden Existenz und Eigenschaften von Killing-Tensoren für Einstein-Metriken mit Lorentz-Signatur untersucht. Mehrere Aussagen über Killing-Tensoren wurden von Riemannscher auf Lorentz-Signatur verallgemeinert. Desweiteren wurden analytische und numerische Lösungsverfahren für die Einstein- und Einstein-Maxwell-Gleichungen weiterentwickelt und auf interessante physikalische Probleme wie Schwarze Löcher und Gravitationswellen angewandt (Meinel). Im Rahmen der numerischen Relativitätstheorie (Brügmann) wurden neue numerische Methoden für die Berechnung von Schwarzen Löchern, Neutronensternen und Gravitationswellen entwickelt. Mit im GRK durchgeführten Simulationen gelang es, Gravitationswellen für die Kollision zweier Neutronensterne vorherzusagen und umgekehrt die in jüngster Zeit beobachteten Gravitationswellen bestimmten Modellen quantitativ zuzuordnen.

Publications

• Effective Polyakov Loop Dynamics for Finite Temperature G(2) Gluodynamics, Phys. Rev. D80 (2009) 065028
  B. H. Wellegehausen, A. Wipf, C. Wozar
  (See online at https://doi.org/10.1103/physrevd.80.065028)
• Flow equation for supersymmetric quantum mechanics, JHEP 0903 (2009) 028
  F. Synatschke, G. Bergner, H. Gies, A. Wipf
  (See online at https://doi.org/10.1088/1126-6708/2009/03/028)
• Phase diagram and fixed-point structure of two dimensional N=1 Wess-Zumino models, Phys. Rev. D80 (2009) 085007
  F. Synatschke, H. Gies, A. Wipf
  (See online at https://doi.org/10.1103/physrevd.80.085007)
• Supersymmetry breaking as a quantum phase transition, Phys. Rev. D80 (2009) 101701
  H. Gies, F. Synatschk
  (See online at https://doi.org/10.1103/PhysRevD.80.101701)
• Apparent horizons and marginally trapped surfaces in numerical general relativity, Januar 2010
  Norbert Lages
  
• Canonical Formulation of Spin in General Relativity, November 2010
  Jan Steinhoff
  (See online at https://doi.org/10.1002/andp.201000178)
• Effective and fundamental quantum fields at criticality, Oktober 2010
  Michael Scherer
  
• Energetic stability and magnetic properties of MnO in the rocksalt, wurtzite, and zinc-blende structures: Influence of exchange and correlation, Phys. Rev. B82 (2010) 165109
  A. Schrön, C. Rödl, F. Bechstedt
  (See online at https://doi.org/10.1103/PhysRevB.82.165109)
• Low Dimensional Supersymmetric Field Theories on the Lattice, Oktober 2010
  Christian Wozar
  
• Motion and gravitational wave forms of eccentric compact binaries with orbital-angular-momentumaligned spins under next-to-leading order in spin-orbitand leading order in spin(1), spin(2) and spin-squared couplings, Class. Quant. Grav. 27 (2010) 165005
  M. Tessmer, J. Hartung, G. Schäfer
  (See online at https://doi.org/10.1088/0264-9381/27/16/165005)
• N=1 Wess Zumino model in d=3 at zero and finite temperature, Phys. Rev. D81 (2010) 125001
  F. Synatschke, J. Braun, A. Wipf
  (See online at https://doi.org/10.1103/PhysRevD.81.125001)
• Phase transition and critical behavior of d=3 chiral fermion models with left/right asymmetry Phys. Rev. D81 (2010) 025009
  H. Gies, L. Janssen, S. Rechenberger, M. Scherer
  (See online at https://doi.org/10.1103/PhysRevD.81.025009)
• Radiation from low-momentum zoom-whirl orbits, Class. Quant. Grav. 27 (2010) 084035
  R. Gold, B. Brügmann
  (See online at https://doi.org/10.1088/0264-9381/27/8/084035)
• The reduced Hamiltonian for next-to-leading-order spin-squared dynamics of general compact binaries, Class. Quant. Grav. 27 (2010) 135007
  S. Hergt, J. Steinhoff, G. Schäfer
  (See online at https://doi.org/10.1088/0264-9381/27/13/135007)
• The two dimensional N=(2,2) Wess-Zumino model in the functional renormalization group approach, Phys. Rev. D82 (2010) 085003
  F. Synatschke-Czerwonka, T. Fischbacher, G. Bergner
  (See online at https://doi.org/10.1103/physrevd.82.085003)
• The Zeta-Zeta Correlator Is Time Dependent, Phys. Lett. B694 (2010) 101
  E.O. Kahya, V.K. Onemli, R.P. Woodard
  (See online at https://doi.org/10.1016/j.physletb.2010.09.050)
• Towards an Asymptotic-Safety Scenario for Chiral Yukawa Systems, Eur. Phys. J. C66 (2010) 403
  H. Gies, S. Rechenberger, M. Scherer
  (See online at https://doi.org/10.1140/epjc/s10052-010-1257-y)
• UV fixed-point structure of the three-dimensional Thirring model, Phys. Rev. D82 (2010) 085018
  H. Gies, L. Janssen
  (See online at https://doi.org/10.1103/PhysRevD.82.085018)
• A useful guide for gravitational wave observers to test modified gravity models, Phys. Lett. B701 (2011) 291
  E. O. Kahya
  (See online at https://doi.org/10.1016/j.physletb.2011.05.073)
• Analytical approximation of the exterior gravitationalfield of rotating neutron stars, Class. Quant. Grav. 28 (2011) 155015
  C. Teichmüller, M.B. Fröb, F. Maucher
  (See online at https://doi.org/10.1088/0264-9381/28/15/155015)
• Approximation des äußeren Gravitationsfeldes rotierender Neutronensterne durch exakte Lösungen der Einstein-Gleichungen, Oktober 2011
  Christian Liutik (geb. Teichmüller)
  
• Asymptotic safety: a simple example, Phys. Rev. D83 (2011) 085012
  J. Braun, H. Gies, D. Scherer
  (See online at https://doi.org/10.1103/PhysRevD.83.085012)
• Binärsysteme kompakter Objekte in hoher post-Newtonscher Näherung in den Eigendrehimpuls- Wechselwirkungen, Januar 2011
  Johannes Hartung
  
• Casimir Scaling and String Breaking in G(2) Gluodynamics, Phys. Rev. D83 (2011) 016001
  B. Wellegehausen, A. Wipf, C. Woza
  (See online at https://doi.org/10.1103/physrevd.83.016001)
• Critical behavior of supersymmetric O(N) models in the large-N limit, Phys. Rev. D84 (2011) 125009
  D. Litim, M. Mastaler, F. Synatschke-Czerwonka, A. Wipf
  (See online at https://doi.org/10.1103/PhysRevD.84.125009)
• Explicit error bounds for Markov chain Monte Carlo, Oktober 2011
  Daniel Rudolf
  
• Functional Renormalization Group Equations for Supersymmetric Field Theories, Januar 2011
  Franziska Synatschke-Czerwonka
  
• Hamiltonsche Formulierung und Behandlung nichtlinearer Eigendrehimpulsbeiträge in Binärsystemen der Allgemeinen Relativitätstheorie, Juni 2011 k.A.
  Stefen Hergt
  
• Influence of exchange and correlation on structural and electronic properties of AlN, GaN and InN polytypes, Phys. Rev. B84 (2011) 125108
  L.C. de Carvalho, A. Schleife, F. Bechstedt
  (See online at https://doi.org/10.1103/PhysRevB.84.195105)
• Next-to-leading order spin-orbit and spin(a)-spin(b) Hamiltonians for n gravitating spinning compact objects,Phys. Rev. D83 (2011) 044008
  J. Hartung, J. Steinhoff
  (See online at https://doi.org/10.1103/PhysRevD.83.044008)
• Next-to-next-to-leading order post-Newtonian spin(1)-spin(2) Hamiltonian for self-gravitating binaries, Ann. Phys. (Berlin) 523 (2011) 919
  J. Hartung, J. Steinhoff
  (See online at https://doi.org/10.1002/andp.201100094)
• Numerical Simulations of black Hole binaries with unequal masses, Juli 2011
  Doreen Müller
  
• Phase diagram of the lattice G2 Higgs Model, Phys. Rev. D83 (2011) 114502
  B. Wellegehausen, A. Wipf, C. Wozar
  (See online at https://doi.org/10.22323/1.139.0266)
• Phenomenology of the vacuum in quantum electrodynamics and beyond, September 2011
  Babette Döbrich
  
• Quantum fields in the non-perturbative regime – Yang-Mills theory and gravity, September 2011
  Astrid Eichhorn
  
• The Tanno Theorem for Kählerian metrics with arbitrary signature, Differential Geometry and its Applications, 29 (2011), 71–79
  A. Fedorova, S. Rosemann
  (See online at https://doi.org/10.1016/j.difgeo.2011.04.010)
• Constraint damping for the Z4c formulation of general relativity, Phys. Rev. D85 (2012) 024038
  A. Weyhausen, S. Bernuzzi, D. Hilditch
  (See online at https://doi.org/10.1103/physrevd.85.024038)
• Critical phenomena in (2+1)-dimensional relativistic fermion systems, Juni 2012
  Lukas Janssen
  
• Crystalline and magnetic anisotropy of the 3d-transition metal monoxides MnO, FeO, CoO, and NiO, Phys. Rev. B86 (2012) 115134
  A. Schrön, C. Rödl and F. Bechstedt
  (See online at https://doi.org/10.1103/PhysRevB.86.115134)
• Dispersion forces : Analysis of local-field effects and inclusion of excitation, Februar 2012
  Agnes Sambale
  
• Distribution of cations in wurtzite InxGa1−xN and InxAl1−xN alloys: Consequences for energetics and quasiparticle elecronic structures, Phys. Rev. B85 (2012) 115121
  L.C. de Carvalho, A. Schleife, J. Furthmüller, F. Bechstedt
  (See online at https://doi.org/10.1103/PhysRevB.85.115121)
• Eccentric binaries of compact objects in Strong-field gravity, September 2012
  Roman Gold
  
• Eccentric binary neutron star mergers, Phys. Rev. D86 (2012) 121501
  R. Gold, S. Bernuzzi, M. Thierfelder, B. Brügmann, F. Pretorius
  (See online at https://doi.org/10.1103/PhysRevD.86.121501)
• Energy-Momentum Tensors with Worldline Numerics, Int. J. Mod. Phys. Conf. Ser. 14 (2012) 511
  M. Schafer, I. Huet and H. Gies
  (See online at https://doi.org/10.1142/S2010194512007647)
• h-projective transformations on compact Kähler manifolds, September 2012
  Stefan Rosemann
  
• Low-Dimensional Chiral Physics: Gross-Neveu Universality and Magnetic Catalysis, September 2012
  Daniel Scherer
  
• Motion of charged particles and quasinormal modes around the magnetically and tidally deformed black hole, Phys. Rev. D 86 (2012) 084007
  R.A. Konoplya, Yu-Chun Liu
  (See online at https://doi.org/10.1103/PhysRevD.86.084007)
• Motion of charged particles and quasinormal modes around the magnetically and tidally deformed black hole, Phys. Rev. D 86 (2012) 084007
  R. A. Konoplya and Y. C. Liu
  (See online at https://doi.org/10.1103/physrevd.86.084007)
• Non-Perturbative Aspects of Nonlinear Sigma Models Dezember 2012
  Raphael Flore
  
• Phase diagrams of exceptional and supersymmetric lattice gauge theories, Juli 2012
  Bjoern Wellegehausen
  
• Proof of the Yano-Obata conjecture for H-projective transformations, J. Diff. Geom. 92 (2012) 221
  V. S. Matveev, S. Rosemann
  (See online at https://doi.org/10.4310/jdg/1352297807)
• Rapid mixing of Swendsen-Wang dynamics in two dimensions, Dezember 2012, Dissertationes Math. 502 (2014)
  Mario Ullrich
  
• Renormalization Group Study of Magnetic Catalysis in the 3d Gross-Neveu Model Phys. Rev. B85 (2012) 195417
  D. Scherer, H. Gies
  (See online at https://doi.org/10.1103/PhysRevB.85.195417)
• Rotierende Neutronensterne, Südwestdeutscher Verlag für Hochschulschriften (2012)
  C. Liutik
  
• Supersymmetric Nonlinear O(3) Sigma Model on the Lattice, JHEP 11 (2012) 159
  R. Flore, D. Körner, A. Wipf, C. Wozar
  (See online at https://doi.org/10.1007/JHEP11(2012)159)
• Supersymmetry breaking in low dimensional models, Ann. of Phys. 327 (2012) 774
  C. Wozar, A. Wipf
  (See online at https://doi.org/10.1016/j.aop.2011.11.015)
• The Coincidence Limit of the Graviton Propagator in de Donder Gauge on de Sitter Background, J. Math. Phys. 53 (2012) 022304
  E.O. Kahya, S. P. Miao and R.P. Woodard
  (See online at https://doi.org/10.1063/1.3681886)
• The only Kähler manifold with degree of mobility at least 3 is (CP(n), gF ubini−Study), Proc. London Math. Soc. 105 (2012), no. 1, 153–188
  A. Fedorova, V. Kiosak, V. Matveev, S. Rosemann
  (See online at https://doi.org/10.1112/plms/pdr053)
• The phase diagram of a gauge theory with fermionic baryons, Phys. Rev. D 86 (2012) 111901
  A. Maas, L. von Smekal, B. Wellegehausen, A. Wipf
  (See online at https://doi.org/10.1103/physrevd.86.111901)
• Aligned spins: orbital elements, decaying orbits,and last stable circular orbit to high post-Newtonianorders, Class. Quantum Gravity 30 2013 015007
  M. Tessmer, J. Hartung, G. Schäfer
  (See online at https://doi.org/10.1088/0264-9381/30/1/015007)
• An asymptotic safety scenario for gauged chiral Higgs-Yukawa models, Eur. Phys. J. C 73 (2013) 2652
  H. Gies, S. Rechenberger, M. M. Scherer and L. Zambelli
  
• Comparison of Swendsen-Wang and heat bath dynamics, Random Structures Alg., 42 (2013) 520
  M. Ullrich
  (See online at https://doi.org/10.1002/rsa.20431)
• Degree of mobility for metrics of lorentz signature and covariantly constant (0,2)-tensors on the cone manifolds, Juli 2013
  Aleksandra Fedorova
  
• Energy-Momentum Tensors and Energy Conditions with Worldline Numerics, April 2013
  Marco Schäfer
  
• Exact sampling for the Ising model at all temperatures, Monte Carlo Methods and Applications, K.K. Sabelfeld, I. Dimov (eds.), Proc. of the 8th IMACS Seminar, Borovets, Bulgaria, 2013
  M. Ullrich
  (See online at https://doi.org/10.1515/9783110293586.223)
• Functional renormalization group of the nonlinear sigma model and the O(N) universality class, Phys. Rev. D87 (2013) 065019
  R. Flore, A. Wipf, O. Zanusso
  (See online at https://doi.org/10.1103/physrevd.87.065019)
• On the Landau-gauge adjoint quark propagator JHEP 1307 (2013) 001
  D. August, A. Maas
  (See online at https://doi.org/10.1007/jhep07(2013)001)
• Positivity of hit-and-run and related algorithms, Electron. Commun. Probab. 18 (2013), no. 49, 1–8
  D. Rudolf, M. Ullrich
  (See online at https://doi.org/10.1214/ecp.v18-2507)
• Post-Newtonian expansion of a rigidly rotating disc of dust with constant specific charge, Class. Quant. Grav. 30 (2013) 085010
  S. Palenta and R. Meinel
  (See online at https://dx.doi.org/10.1088/0264-9381/30/8/085010)
• Two Remarks on P Qǫ-projectivity of Riemannian metrics, Glasgow Math. Journal 55 (2013) 131
  V. S. Matveev, S. Rosemann
  (See online at https://doi.org/10.1017/S0017089512000390)
• Asymptotic safety on the lattice: The Nonlinear O(N) Sigma Model, Ann. of Phys. 349 (2014) 374.86, 111901
  B. Wellegehausen, D. Körner, A. Wipf
  (See online at https://doi.org/10.22323/1.079.0002)
• Axisymmetric constant mean curvature slices in the Kerr space-time, Class. Quant. Grav. 31 (2014) 075017
  D. Schinkel, R. Panosso Macedo and M. Ansorg
  (See online at https://doi.org/10.1088/0264-9381/31/7/075017)
• Hadron masses and baryonic scales in G(2)-QCD at finite density, Phys. Rev. D89 (2014) 056007
  B. Wellegehausen, A. Maas, A. Wipf, L. von Smekal
  
• Higgs Mass Bounds from Renormalization Flow for a simple Yukawa model, Phys. Rev. D 89 (2014) 045012
  H. Gies, C. Gneiting and R. Sondenheimer
  (See online at https://doi.org/10.1103/physrevd.89.045012)
• Initial data for binary neutron stars with adjustable eccentricity, Phys. Rev. D 90 (2014) 084043
  N. Moldenhauer, C. M. Markakis, N. K. Johnson-McDaniel, W. Tichy and B. Brügman
  (See online at https://doi.org/10.1103/physrevd.90.084043)
• Initial data for perturbed Kerr black holes on hyperboloidal slices, Class. Quant. Grav. 31 (2014) 165001
  D. Schinkel, M. Ansorg and R. Panosso Macedo
  (See online at https://doi.org/10.1088/0264-9381/31/16/165001)
• Non-perturbative renormalization on the lattice, August 2014
  Daniel Körner
  
• Rapid mixing of Swendsen-Wang dynamics in two dimensions, Dissertationes Math. 502 (2014), 64 pp.
  M. Ullrich
  (See online at https://doi.org/10.4064/dm502-0-1)
• Structure and eigenvalues of heat-bath Markov chains, Linear Algebra Appl. 454 (2014), 57–71
  M. Dyer, C. Greenhill, M. Ullrich
  
• Swendsen-Wang is faster than single-bond dynamics, SIAM J. Discrete Math. 28 (2014), no. 1, 37–48
  M. Ullrich
  (See online at https://doi.org/10.1137/120864003)
• Two- and three-point functions in Landau gauge Yang-Mills-Higgs theory, JHEP 1404 (2014) 006
  A. Maas, T. Mufti
  (See online at https://doi.org/10.1007/jhep04(2014)006)
• A Renormalization Group Study of Supersymmetric Field Theories, Mai 2015
  Marianne Heilmann
  
• Ab-initio studies of the magnetic properties of the 3d transition-metal oxides and their surfaces = Ab-initio- Untersuchungen der magnetischen Eigenschaften der 3d-Übergansmetalloxide und deren Oberflächen, Mai 2015
  Andreas Schrön
  
• Asymptotically free scaling solutions in non-Abelian Higgs models, Phys. Rev. D 92 (2015) 025016
  H. Gies and L. Zambelli
  (See online at https://doi.org/10.1103/PhysRevD.92.025016)
• Binary Neutron Stars with Generic Spin, Eccentricity, Mass ratio, and Compactness - Quasi-equilibrium Sequences and First Evolutions, Phys. Rev. D 92 (2015) 124007
  T. Dietrich, N. Moldenhauer, N. K. Johnson-McDaniel, S. Bernuzzi, C. M. Markakis, B. Brügmann and W. Tichy
  (See online at https://doi.org/10.1103/physrevd.92.124007)
• Convergence of derivative expansion in supersymmetric functional RG flows, JHEP 1502 (2015) 109
  M. Heilmann, T. Hellwig, B. Knorr∗, M. Ansorg, A. Wipf
  (See online at https://doi.org/10.1007/jhep02(2015)109)
• CoRe database of binary neutron star merger waveforms and its application in waveform development
  T. Dietrich, D. Radice, S. Bernuzzi, F. Zappa, A. Perego, B. Bruegmann, S. V. Chaurasia, R. Dudi, W. Tichy and M. Ujevic
  (See online at https://doi.org/10.48550/arXiv.1806.01625)
• Diffusion determines the recurrent graph, Adv. Mathematics 269 (2015) 364
  M. Keller, D. Lenz, M. Schmidt, M. Wirth
  (See online at https://doi.org/10.1016/j.aim.2014.10.003)
• Generalized Parametrization Dependence in Quantum Gravity, Phys. Rev. D92 (2015) 084020
  H. Gies, B. Knorr, S. Lippoldt
  (See online at https://doi.org/10.1103/physrevd.92.084020)
• Global solutions of functional fixed point equations via pseudospectral methods, Phys. Rev. D91 (2015) 105011; Phys. Rev. D93 (2016) 089904
  J. Borchardt, B. Knorr
  (See online at https://doi.org/10.1103/physrevd.91.105011)
• Higgs Mass Bounds from Renormalization Flow for a Higgs-top-bottom model, Eur. Phys. J. C 75 (2015) 68
  H. Gies and R. Sondenheimer
  (See online at https://doi.org/10.1140/epjc/s10052-015-3284-1)
• Local Quantum Gravity, Phys. Rev. D92 (2015) 121501
  N. Christiansen, B. Knorr, J. Meibohm, J.M. Pawlowski, M. Reichert
  (See online at https://doi.org/10.1103/physrevd.92.121501)
• Multimeson Yukawa interactions at criticality, Phys. Rev. D 91 (2015) 125003
  G. P. Vacca and L. Zambelli
  (See online at https://doi.org/10.1103/PhysRevD.91.125003)
• Numerical Methods for Collapsing Gravitational Waves, Februar 2015
  Andreas Weyhausen
  
• On the black hole limit of rotating discs of charged dust, Class. Quant. Grav. 32 (2015) 135022
  M. Breithaupt, Y. C. Liu, R. Meinel and S. Palenta
  (See online at https://doi.org/10.1088/0264-9381/32/13/135022)
• Reducibility of valence-3 Killing tensors in Weyl’s class of stationary and axially symmetric spacetimes, Phys. Rev. D92 (2015) 084036
  A. Vollmer
  (See online at https://doi.org/10.1103/physrevd.92.084036)
• Scaling and superscaling solutions from the functional renormalization group, Phys. Rev. D92 (2015) 085027
  T. Hellwig, A. Wipf, O. Zanusso
  (See online at https://doi.org/10.1103/physrevd.92.085027)
• Structural, electronic and optical properties of group-IV honeycomb crystals from first principles, Juni 2015
  Lars Matthes
  
• The Higgs Mass and the Scale of New Physics, JHEP 1504 (2015) 022
  A. Eichhorn, H. Gies, J. Jaeckel, T. Plehn, M. M. Scherer and R. Sondenheimer
  (See online at https://doi.org/10.1007/jhep04(2015)022)
• Anfangsdaten für Schwarze Löcher auf hyperboloidalen Blättern, Januar 2016
  David Schinkel
  
• Bernstein Numbers and Lower Bounds for the Monte Carlo Error, 11th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, Proc. in Mathematics & Statistics 163 (2016) 471
  R. Kunsch
  (See online at https://doi.org/10.1007/978-3-319-33507-0_24)
• Decompositions in doubling weighted Besov-Triebel-Lizorkin spaces and applications, Oktober 2016
  Philipp Skandera
  
• Electron positron pair production in strong electric fields, November 2016
  Alexander Blinne
  
• Fermions in curved spacetimes, Januar2016
  Stefan Lippoldt
  
• First integrals in stationary and axially symmetric space-times and sub-Riemannian structures, Juni 2016
  Andreas Vollmer
  
• From condensed matter to higgs physics : solving functional renormalization group equations globally in field space, Februar 2016
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• Solving 3D relativistic hydrodynamical problems with weighted essentially nonoscillatory discontinuous Galerkin methods, Phys. Rev. D 94 (2016) 084004
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• Treating supersymmetric systems using the functional renormalization group, Dezember 2016
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• A continuous Riemann-Hilbert problem for colliding plane gravitational waves, Class. Quant. Grav. 34 (2017) 195011
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