CRITICAL POINT BEHAVIOR OF THE WILSON LOOP

Peskin, Michael E.

doi:10.1016/0370-2693(80)90848-5

CRITICAL POINT BEHAVIOR OF THE WILSON LOOP

Michael E. Peskin
(
- Saclay and
- Harvard U.
)

1980

5 pages

Published in:

Phys.Lett.B 94 (1980) 161-165

Published: 1980

DOI:

10.1016/0370-2693(80)90848-5

View in:

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Abstract: (Elsevier)

I note that, at a second-order phase transition in a gauge theory, the static quark-antiquark potential derived from the Wilson loop is proportional to 1 R , independently of space-time dimensionality. I present two simple applications of this observation: a definition of the critical exponent η for lattice gauge theories and an argument for gauge theories analogous to the Mermin-Wagner theorem.

GAUGE FIELD THEORY: CRITICAL PHENOMENA
GAUGE FIELD THEORY: LATTICE
GAUGE FIELD THEORY: WILSON LOOP
QUARK: CONFINEMENT
QUARK ANTIQUARK: POTENTIAL
RENORMALIZATION GROUP

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