✦ LIBER ✦

Charge shielding and quark confinement in the massive schwinger model

✍ Scribed by Sidney Coleman; R Jackiw; Leonard Susskind

Publisher: Elsevier Science
Year: 1975
Tongue: English
Weight: 450 KB
Volume: 93
Category: Article
ISSN: 0003-4916
DOI: 10.1016/0003-4916(75)90212-2

No coin nor oath required. For personal study only.

✦ Synopsis

The Schwinger model is quantum electrodynamics with massless fermions in two dimensions. It is known that the asymptotic states of the theory contain no states corresponding to free fermions ("quark trapping") and that local charge conservation is spontaneously broken ("Higgs phenomenon"). We investigate to what extent these phenomena persist when the fermion is given a bare mass. We find quark trapping but no Higgs phenomenon. The second of these results is dependent on mass perturbation theory; the first is not.

1. INTRODUCTION AND CONCLUSIONS

The Schwinger model [l] is quantum electrodynamics with a massless fermion in two-dimensional space-time. In a covariant gauge, the model is defined by the Lagrange density, where

📜 SIMILAR VOLUMES

Fermion Condensate and the Spectrum of M

Fermion Condensate and the Spectrum of Massive Schwinger Model in Bogoliubov Transformed Vacuum

✍ T. Tomachi; T. Fujita 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 612 KB

We calculate the spectrum of the charge zero sector in two-dimensional quantum electrodynamics (massive Schwinger model). The calculations are first done in the rest frame with the perturbative vacuum within \(q \bar{q}\) and \(q q \bar{q} \bar{q}\) subspaces. This leads to the infrared instability