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The geometric Schwinger Model on the Torus II

Technical Report:

Abstract

The geometric Schwinger Model (gSM) is the theory of a U(1)-gauge field in two dimensions coupled to a massless Dirac Kaehler field. It is equivalent to a Schwinger model with Dirac fields {Phi}{sub a}{sup b}(x) carrying iso-spin 1/2. We consider this model on the Euclidean space time of a torus. In Part I we discussed in detail the zero mode structure of this model. The main aim of this Part is the calculation of the correlation functions of currents and densities. Since it turned out that the gSM illustrates the generally interesting structure of anomalous chiral symmetry breaking in a very transparent manner, we present our results in the more familiar language of Dirac fields. In the introduction to the first part of our investigations we mentioned as motivation for the study of the gSM on the torus the possibility of a systematic lattice approximation of this model. In the meanwhile this project was realized to a large extend. Here we give the details of the discussion of the different quantities in the continuum to which we applied the lattice approximation. For these we formulate the `geometric` description by differential forms of quantities which we consider interesting in this context.  More>>
Authors:
Joos, H; [1]  Azakov, S I [2] 
  1. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
  2. AN Azerbajdzhanskoj SSR, Baku (Azerbaijan). Inst. Fiziki
Publication Date:
Aug 01, 1994
Product Type:
Technical Report
Report Number:
DESY-94-142
Reference Number:
SCA: 662220; PA: DEN-94:0FM221; EDB-95:017914; SN: 95001304993
Resource Relation:
Other Information: PBD: Aug 1994
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; SCHWINGER-TOMONAGA FORMALISM; DIFFERENTIAL GEOMETRY; CHIRAL SYMMETRY; CORRELATION FUNCTIONS; EUCLIDEAN SPACE; FERMIONS; MASSLESS PARTICLES; SYMMETRY BREAKING; TWO-DIMENSIONAL CALCULATIONS; VECTOR FIELDS; U-1 GROUPS; UNIFIED GAUGE MODELS; SPINOR FIELDS; COUPLING; SPACE-TIME; VECTOR CURRENTS; LATTICE FIELD THEORY; ACTION INTEGRAL; PROPAGATOR; LAGRANGIAN FIELD THEORY; 662220; QUANTUM ELECTRODYNAMICS
OSTI ID:
10105104
Research Organizations:
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0418-9833; Other: ON: DE95725661; TRN: DE94FM221
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
27 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Joos, H, and Azakov, S I. The geometric Schwinger Model on the Torus II. Germany: N. p., 1994. Web.
Joos, H, & Azakov, S I. The geometric Schwinger Model on the Torus II. Germany.
Joos, H, and Azakov, S I. 1994. "The geometric Schwinger Model on the Torus II." Germany.
@misc{etde_10105104,
title = {The geometric Schwinger Model on the Torus II}
author = {Joos, H, and Azakov, S I}
abstractNote = {The geometric Schwinger Model (gSM) is the theory of a U(1)-gauge field in two dimensions coupled to a massless Dirac Kaehler field. It is equivalent to a Schwinger model with Dirac fields {Phi}{sub a}{sup b}(x) carrying iso-spin 1/2. We consider this model on the Euclidean space time of a torus. In Part I we discussed in detail the zero mode structure of this model. The main aim of this Part is the calculation of the correlation functions of currents and densities. Since it turned out that the gSM illustrates the generally interesting structure of anomalous chiral symmetry breaking in a very transparent manner, we present our results in the more familiar language of Dirac fields. In the introduction to the first part of our investigations we mentioned as motivation for the study of the gSM on the torus the possibility of a systematic lattice approximation of this model. In the meanwhile this project was realized to a large extend. Here we give the details of the discussion of the different quantities in the continuum to which we applied the lattice approximation. For these we formulate the `geometric` description by differential forms of quantities which we consider interesting in this context. (orig.)}
place = {Germany}
year = {1994}
month = {Aug}
}