English

The Schwinger Model and Perturbative Charge Screening

High Energy Physics - Phenomenology 2008-02-03 v2 High Energy Physics - Theory

Abstract

\noindent The well-known exact solution of the massless Schwinger model can be simply obtained by perturbing around a vacuum without the Dirac sea of filled negative energy states. The unusual vacuum structure changes the sign of the iϵi\epsilon prescription at the negative energy pole of the free fermion propagator. Consequently, all convergent fermion loop integrals vanish. The logarithmically divergent two-point loop gives a mass e/πe/\sqrt\pi to the photon, which turns into the free pointlike boson of the Schwinger model. We discuss the possiblity of using corresponding expansions to describe charge screening effects in the massive Schwinger model and the confinement phenomenon of QCD.

Keywords

Cite

@article{arxiv.hep-ph/9303262,
  title  = {The Schwinger Model and Perturbative Charge Screening},
  author = {Paul Hoyer},
  journal= {arXiv preprint arXiv:hep-ph/9303262},
  year   = {2008}
}

Comments

20 pages in phyzzx, no figures. An error in the calculation is corrected, the conclusions are strengthened

R2 v1 2026-07-22T14:16:53.838Z