arXiv Analytics

Sign in

arXiv:1307.1162 [math-ph]AbstractReferencesReviewsResources

Quantum fields with classical interactions

Jan Dereziński

Published 2013-07-03, updated 2014-05-05Version 4

We describe basic types of free fields (1) neutral scalar bosons; (2) massive vector bosons; (3) massless vector bosons; (4) charged scalar bosons; (5) Dirac fermions; (6) Majorana fermions. We also consider free field perturbed by a linear or quadratic perturbation involving a classical (c-number) function: (1) neutral scalar bosons interacting with a linear source; (2) neutral scalar bosons interacting with a mass-like perturbation; (3) massive photons interacting with an classical current; (4) massless photons interacting with an classical current. (5) charged scalar bosons interacting with an electromagnetic potential; (6) Dirac fermions interacting with an electromagnetic potential.

Comments: revised version, major additions: discussion of the CPT Theorem, fermions interacting with variable mass, derivation of the Sucher formula; 9 figures
Categories: math-ph, math.MP, quant-ph
Related articles: Most relevant | Search more
arXiv:math-ph/9907001 (Published 1999-07-01)
Geometry, stochastic calculus and quantum fields in a non-commutative space-time
arXiv:1412.0052 [math-ph] (Published 2014-11-29)
On the construction of quantum fields via measures on path spaces
arXiv:math-ph/0612081 (Published 2006-12-27, updated 2007-07-17)
Left-Ideals, Dirac Fermions and SU(2)-Flavour