Complex zeros of the partition function for two-dimensionalU(N) lattice gauge theories

  • K. S. Kölbig
  • W. Rühl
Article

Abstract

The complex zeros of the partition function for the two-dimensionalU(N) lattice gauge model in the variable β or ξ=N/β are calculated analytically for large β and numerically. The zeros formN trajectories which forN→∞ fill a domain of the ξ plane densely. This domain touches the real ξ axis at ξ=1 with a kink that causes the Gross-Witten phase transition.

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Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • K. S. Kölbig
    • 1
  • W. Rühl
    • 1
  1. 1.CERNGeneva 23Switzerland
  2. 2.Fachbereich Physik der Universität KaiserslauternKaiserslauternFederal Republic of Germany

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