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The phase structure of the two-dimensionalN=2 Wess-Zumino model

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Abstract

We construct a convergent cluster expansion for the two-dimensionalN=2 Wess-Zumino model, in a region of parameter space where there are multiple phase. As a result of this expansion, we are able to construct the infinite volume field theory and demonstrate exponential decay of correlations. We are also able to investigate the different phases of the model, develop the phase diagram, and show that the free energy of each phase vanishes.

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Author notes

  1. Steven A. Janowsky

    Present address: Department of Mathematics, Rutgers University, 08903, New Brunswick, NJ, USA

  2. Jonathan Weitsman

    Present address: MSRI, 1000 Centennial Drive, 94720, Berkeley, CA, USA

Authors and Affiliations

  1. Department of Physics, Harvard University, 02138, Cambridge, MA, USA

    Steven A. Janowsky & Jonathan Weitsman

  2. Department of Mathematics, M.I.T., 94720, Berkeley, CA, USA

    Jonathan Weitsman

Authors
  1. Steven A. Janowsky
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  2. Jonathan Weitsman
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Additional information

Communicated by A. Jaffe

Supported in part by National Science Foundation grants DMS 90-08827, PHY/DMS 88-16214 and DMS 88-58073

Supported in part by National Science Foundation Mathematical Sciences Postdoctoral Research Fellowship DMS 88-07291

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Janowsky, S.A., Weitsman, J. The phase structure of the two-dimensionalN=2 Wess-Zumino model. Commun.Math. Phys. 142, 25–66 (1991). https://doi.org/10.1007/BF02099171

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  • DOI: https://doi.org/10.1007/BF02099171

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