The unbinding transition of the bipolaron

• Applicant: Professor Dr. Herbert Spohn
• Subject Area: Mathematics
• Term: from 2008 to 2011
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 72107835

• Final Report Year: 2015

Final Report Abstract

The project under report concerned scattering in quantum field theory, especially infrared problems and the problem of asymptotic completeness. A number of results have been obtained, both on the side of relativistic and non-relativistic quantum field theory. They range from spectral analysis of abstract groups of automorphisms, to properties of asymptotic observables in very concrete models. This project provided a solid foundation for my further investigations of scattering in quantum field theory.

Publications

• Continuous spectrum of automorphism groups and the infraparticle problem. Commun. Math. Phys. 300, (2010) 273–299
  W. Dybalski
  
• Asymptotic completeness in a class of massless relativistic quantum field theories. Commun. Math. Phys. 305, (2011) 427–440
  W. Dybalski and Y. Tanimoto
  
• Infraparticles with superselected direction of motion in two-dimensional conformal field theory. Commun. Math. Phys. 311, (2012) 457–490
  W. Dybalski and Y. Tanimoto
  (See online at https://doi.org/10.1007/s00220-012-1450-y)
• Towards a construction of inclusive collision cross-sections e in the massless Nelson model. Ann. Henri Poincaré 13, (2012) 1427– 1449
  W. Dybalski
  (See online at https://doi.org/10.1007/s00023-011-0156-6)
• Asymptotic completeness for infraparticles in two-dimensional conformal field theory. Lett. Math. Phys. 103, (2013) 1223–1241
  W. Dybalski and Y. Tanimoto
  (See online at https://doi.org/10.1007/s11005-013-0638-1)