## 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.
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Joos, H;

^{[1] }Azakov, S I^{[2] }- Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
- AN Azerbajdzhanskoj SSR, Baku (Azerbaijan). Inst. Fiziki

## 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}

}

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}

}