English

Witten-Veneziano Relation for the Schwinger Model

High Energy Physics - Theory 2009-10-31 v1

Abstract

The Witten-Veneziano relation between the topological susceptibility of pure gauge theories without fermions and the main contribution of the complete theory and the corresponding formula of Seiler and Stamatescu with the so-called contact term are discussed for the Schwinger model on a circle. Using the (Euclidean) path integral and the canonical (Hamiltonian) approaches at finite temperatures we demonstrate that both formulae give the same result in the limit of infinite volume and (or) zero temperature.

Keywords

Cite

@article{arxiv.hep-th/0002197,
  title  = {Witten-Veneziano Relation for the Schwinger Model},
  author = {S. Azakov and H. Joos and A. Wipf},
  journal= {arXiv preprint arXiv:hep-th/0002197},
  year   = {2009}
}

Comments

6 pages

R2 v1 2026-07-22T14:56:51.442Z