Generalized Roughening Transition and Its Effect on the String Tension

Jun, 1980
15 pages
Published in:
  • Nucl.Phys.B 180 (1981) 353-367
  • Published: 1981
Report number:
  • CERN-TH-2890

Citations per year

1981199220032014202502468101214
Abstract: (Elsevier)
The well-understood roughening transition of an interface in the d = 3 Ising model implies an essential singularity in the string tension of the dual Z 2 gauge model. The roughening transition corresponds to the delocalization of the string due to strong long-wavelength fluctuations, and this reformulation can be generalized to other gauge groups and to d = 4 also. It is not a deconfining transition - it is expected to occur deep in the confining region - but its presence would raise serious questions about the continuation of strong coupling expansions of the tension beyond this point. In this paper predictions on the roughening transition are confronted with the available information on the string tension for different gauge groups in three dimensions.
  • LATTICE FIELD THEORY
  • GAUGE FIELD THEORY: Z(2)
  • STATISTICAL MECHANICS: CRITICAL PHENOMENA
  • STATISTICAL MECHANICS: ISING
  • STATISTICAL MECHANICS: THREE-DIMENSIONAL
  • MODEL: STRING
  • MODEL: STRONG COUPLING
  • STRONG COUPLING: MODEL
  • APPROXIMATION: PADE
  • NUMERICAL CALCULATIONS