The two-dimensional, \(N=2\) Wess-Zumino model on a cylinder
type: Item
instance of: scholarly article
title: The two-dimensional, \(N=2\) Wess-Zumino model on a cylinder
zbMATH Open document ID: 0662.35094
DOI: 10.1007/BF01218293
author: Arthur Jaffe
author: Andrzej Leśniewski
author: Jonathan Weitsman
published in: Communications in Mathematical Physics
publication date: 1988-01-01T00:00:00Z
review text: We construct a family of supersymmetric, two-dimensional quantum field models. We establish the existence of the Hamiltonian H and the supercharge Q as self-adjoint operators. We establish the ultraviolet finiteness of the model, independent of perturbation theory. We develop functional integral representations of the heat kernel which are useful for proving estimates in these models. In a companion paper by the authors [ibid. 112, 75-88 (1987; Zbl 0629.58040)] we establish an index theorem for Q, an infinite dimensional Dirac operator on loop space. This paper and, another related one by the first and the second authors [ibid. 114, 553-575 (1988; Zbl 0662.35095)] provide the technical justification for our claim and Q is Fredholm, and for our computation of its index by a homotopy onto quantum mechanics.
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 81T08
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 4082141
zbMATH Keywords: supersymmetric
zbMATH Keywords: quantum field models
zbMATH Keywords: existence
zbMATH Keywords: Hamiltonian
zbMATH Keywords: ultraviolet finiteness
zbMATH Keywords: perturbation
zbMATH Keywords: functional integral representations
zbMATH Keywords: heat kernel
zbMATH Keywords: Dirac operator
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4082141