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A priori estimates forN=2 Wess-Zumino models on a cylinder

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Abstract

We establish bounds uniform in the ultraviolet cutoff (i.e., in the number of degrees of freedom) for a family of two-dimensional Wess-Zumino models. These estimates are useful in proving existence of the models, as well as in investigating their properties. For example, we require these estimates for the analysis of the supercharge and of the Hamiltonian. These are the fundamental a priori estimates for elliptic regularity in infinite dimensions.

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References

  1. Jaffe, A., Lesniewski, A., Weitsman, J.: Index of a family of Dirac operators on loop space. Commun. Math. Phys.112, 75–88 (1987)

    Google Scholar 

  2. Jaffe, A., Lesniewski, A., Lewenstein, M.: Ground state structure in supersymmetric quantum mechanics. Ann. Phys.178, 313–329 (1987)

    Google Scholar 

  3. Jaffe, A., Lesniewski, A., Weitsman, J.: The two-dimensional,N=2 Wess-Zumino model on a cylinder. Commun. Math. Phys.114, 147–165 (1988)

    Google Scholar 

  4. Glimm, J., Jaffe, A.: Quantum physics. Berlin, Heidelberg, New York: Springer 1987

    Google Scholar 

  5. Seiler, E.: Schwinger functions for the Yukawa model in two dimensions with space-time cutoff. Commun. Math. Phys.42, 163–182 (1975)

    Google Scholar 

  6. Nelson, E.: Probability theory and Euclidean field theory. In: Constructive quantum field theory. Velo, G., Wightman, A. (eds.). Berlin, Heidelberg, New York: Springer 1973

    Google Scholar 

  7. Seiler, E., Simon, B.: Bounds in the Yukawa2 quantum field theory: upper bound on the pressure, Hamiltonian bound and linear lower bound. Commun. Math. Phys.45, 99–114 (1975)

    Google Scholar 

  8. Jaffe, A.: Existence theorems for a cutoff λϕ4 field theory. In: Mathematical theory of elementary particles. Goodman, R., Segal, I. (eds.). Cambridge, MA: MIT Press 1966

    Google Scholar 

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Authors and Affiliations

  1. Harvard University, 02138, Cambridge, MA, USA

    Arthur Jaffe & Andrzej Lesniewski

Authors
  1. Arthur Jaffe
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  2. Andrzej Lesniewski
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Additional information

Communicated by A. Jaffe

Supported in part by the National Science Foundation under Grant DMS/PHY 86-45122

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Jaffe, A., Lesniewski, A. A priori estimates forN=2 Wess-Zumino models on a cylinder. Commun.Math. Phys. 114, 553–575 (1988). https://doi.org/10.1007/BF01229455

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  • DOI: https://doi.org/10.1007/BF01229455

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