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Kosterlitz-Thouless transition for the finite-temperatured=2+1,U(1) Hamiltonian lattice gauge theory

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Abstract

We prove that in thed=2+1,U(1) Hamiltonian (continuous time) lattice gauge theory the confining potential between two static external charges grows logarithmically with their distance, at sufficiently high temperatures. As it is known that for zero or low temperatures and large coupling constant the model confines linearly, we have therefore established the existence of a Kosterlitz-Thouless transition. Our results are based on a Mermin-Wagner type of argument combined with correlation inequalities and known results for the two-dimensional (spin) Villain model.

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Authors and Affiliations

  1. Departamento de Física, Universidade Federal da Paraíba, 58051, João Pessoa, PB, Brazil

    C. A. Bonato

  2. Institute de Física, Universidade de São Paulo, 01498, São Paulo, SP, Brazil

    J. Fernando Perez

Authors
  1. C. A. Bonato
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  2. J. Fernando Perez
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Bonato, C.A., Fernando Perez, J. Kosterlitz-Thouless transition for the finite-temperatured=2+1,U(1) Hamiltonian lattice gauge theory. J Stat Phys 56, 13–22 (1989). https://doi.org/10.1007/BF01044227

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  • DOI: https://doi.org/10.1007/BF01044227

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