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Massless phases and symmetry restoration in abelian gauge theories and spin systems

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Abstract

We give a new, elementary proof for the existence of a deconfining transition to a massless (QED) phase in the four-dimensionalU(1) lattice gauge theory and of an intermediate QED phase, accompanied by dynamical restoration of localU(1) invariance, in the four dimensional ℤ N models, withN large. Our methods can also be used to prove the existence of a phase transition in theXY model in three or more dimensions, in three- and four-dimensional abelian Higgs models, and in more general models admitting some local, abelian gauge invariance.

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Author notes

  1. Jürg Fröhlich

    Present address: Physics Dept., ETH, Zürich, Switzerland

Authors and Affiliations

  1. Institut des Hautes Etudes Scientifiques, 35, Route de Chartres, F-91440, Bures-sur-Yvette, France

    Jürg Fröhlich

  2. Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, 10012, New York, NY, USA

    Thomas Spencer

Authors
  1. Jürg Fröhlich
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  2. Thomas Spencer
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Additional information

Communicated by A. Jaffe

Work supported in part by the NSF under grant DMR 81-00417

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Fröhlich, J., Spencer, T. Massless phases and symmetry restoration in abelian gauge theories and spin systems. Commun.Math. Phys. 83, 411–454 (1982). https://doi.org/10.1007/BF01213610

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  • DOI: https://doi.org/10.1007/BF01213610

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