Report/Internal Report PUBDB-2017-12999

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On the Roughening Transition in Abelian Lattice Gauge Theories

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1980

() [10.1016/0550-3213(81)90152-8]
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Report No.: DESY-80-074

Abstract: We study the width of the confining string between static quarks in abelian lattice gauge theories using strong coupling expansions. We consider gauge groups Z n and U(1) in 3 and 4 dimensions. This extends previous work with Lüscher, where SU(2) and Z 2 were studied. In ν = 3 dimensions we find evidence for a roughening transition. It is characterized by a divergence of the string width for an infinitely far separated quark-antiquark pair, while the string tension remains non-zero. In ν = 4 dimensions for the abelian groups we do not have evidence for a roughening transition away from a phase transition.

Keyword(s): GAUGE FIELD THEORY: LATTICE ; GAUGE FIELD THEORY: Z(N) ; QUARK: CONFINEMENT ; MODEL: STRING ; APPROXIMATION: STRONG COUPLING ; STRONG COUPLING: APPROXIMATION ; GAUGE FIELD THEORY: U(1) ; GAUGE FIELD THEORY: THREE-DIMENSIONAL ; GAUGE FIELD THEORY: FOUR-DIMENSIONAL ; GAUGE FIELD THEORY: CRITICAL PHENOMENA ; TEMPERATURE ; TABLES ; NUMERICAL CALCULATIONS

Classification:

Contributing Institute(s):
  1. DESY Retrocat (DESY(-2012))
Research Program(s):
  1. 899 - ohne Topic (POF3-899) (POF3-899)
Experiment(s):
  1. No specific instrument

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 Record created 2017-12-08, last modified 2025-08-07



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