Area law for spatial Wilson loops in high-temperature lattice gauge theories

It has been pointed out that the behavior of space-like Wilson loops in non-zero temperature lattice gauge theories cannot be considered as a confinement criterion. In particular they may show area law behavior in the deconfinement phase. We rigorously establish this for sufficiently high temperatur...

Full description

Saved in:
Bibliographic Details
Published inNuclear physics. B Vol. 261; no. 3; pp. 455 - 460
Main Author Borgs, C.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 1985
Elsevier
Subjects
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Theory of quantized fields
Quantum field theory
Gauge theory
Network
Online AccessGet full text

Cover

More Information
Summary:It has been pointed out that the behavior of space-like Wilson loops in non-zero temperature lattice gauge theories cannot be considered as a confinement criterion. In particular they may show area law behavior in the deconfinement phase. We rigorously establish this for sufficiently high temperatures by means of a cluster expansion. For abelian theories correlation inequalities imply a stronger result: space-like Wilson loops in the ( d + 1)-dimensional theory (at coupling g 2 and temperature T) show area law whenever the corresponding d-dimensional 0 temperature theory (with coupling T g 2 is confining. Our results remain valid in the τ-continuum limit.
ISSN:0550-3213
1873-1562
DOI:10.1016/0550-3213(85)90582-6