Witten-Veneziano Relation for the Schwinger Model

Details Witten-Veneziano Relation for the Schwinger Model Witten-Veneziano Relation for the Schwinger Model

2000-02-23

arxiv.org/abs/hep-th/0002197v1

Phys.Lett. B479 (2000) 245-248

Physics

High Energy Physics

High Energy Physics - Theory

6 pages

Scientific paper

10.1016/S0370-2693(00)00322-1

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.

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