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Quantum fields with classical interactions

Mathematical Physics 2015-06-16 v4 math.MP Quantum Physics

Abstract

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.

Cite

@article{arxiv.1307.1162,
  title  = {Quantum fields with classical interactions},
  author = {Jan Dereziński},
  journal= {arXiv preprint arXiv:1307.1162},
  year   = {2015}
}

Comments

revised version, major additions: discussion of the CPT Theorem, fermions interacting with variable mass, derivation of the Sucher formula; 9 figures

R2 v1 2026-06-22T00:45:11.880Z