Topological anomalies in the n dependence of the n-states Potts lattice gauge theory

Michael Aizenman, Jürg Fröhlich

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

We demonstrate that there is an unexpected n dependence in the topological representation of the n-states gauge Potts model as a theory of random surfaces. Our results show that there are some inherent difficulties in regarding n as a continuous parameter. In particular, we point out some difficulties in constructing plaquette percolation as the n → 1 limit of the n-states gauge Potts model and in setting up a 1/n expansion. While we find anomalies in the Wilson-loop expectation already in three dimensions, for the free energy the occur only in four or more dimensions. Related difficulties might appear in the Zn clock and the pure SU(n) lattice gauge theories.

Original languageEnglish (US)
Pages (from-to)1-18
Number of pages18
JournalNuclear Physics, Section B
Volume235
Issue number1
DOIs
StatePublished - May 7 1984
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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