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The phase structure of the two-dimensionalN=2 Wess-Zumino model
Authors:Steven A Janowsky  Jonathan Weitsman
Institution:(1) Department of Physics, Harvard University, 02138 Cambridge, MA, USA;(2) Present address: Department of Mathematics, Rutgers University, 08903 New Brunswick, NJ, USA;(3) Department of Mathematics, M.I.T., 94720 Berkeley, CA, USA;(4) Present address: MSRI, 1000 Centennial Drive, 94720 Berkeley, CA, USA
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.Supported in part by National Science Foundation grants DMS 90-08827, PHY/DMS 88-16214 and DMS 88-58073Supported in part by National Science Foundation Mathematical Sciences Postdoctoral Research Fellowship DMS 88-07291
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