Confinement in SU($N$) Lattice Gauge Theories - INSPIRE

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Confinement in SU( $N$ ) Lattice Gauge Theories

Laurence G. Yaffe
(
- Princeton U.
)

Nov, 1979

49 pages

Published in:

Phys.Rev.D 21 (1980) 1574

DOI:

10.1103/PhysRevD.21.1574

Report number:

Print-79-0934 (PRINCETON)

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Abstract: (APS)

The behavior of the Wilson and 't Hooft loops, and of the electric- and magnetic-flux free energies, is examined in weak-coupling SU(N) lattice gauge theories. The ability of thin tubes of magnetic flux to spread into thick flux tubes is emphasized as the key feature which is required for confinement. While control over the energetics of these fluctuations sufficient to prove confinement is still lacking, we are able to prove that if constraints are inserted which prevent this spreading of Z(N) magnetic flux then nonconfining behavior results.

GAUGE FIELD THEORY: SU(N)
GAUGE FIELD THEORY: LATTICE
QUARK: CONFINEMENT
COUPLING CONSTANT
FIELD EQUATIONS: MONOPOLE
FIELD THEORY: VORTEX
MODEL: BOUNDARY CONDITION
FLUX: MAGNETIC
MAGNETIC: FLUX
FLUX: ELECTRIC

References(10)

Figures(0)

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