FRACTAL WILSON LOOP IN U(1) LATTICE GAUGE THEORY

1993 ◽  
Vol 08 (05) ◽  
pp. 445-457
Author(s):  
H. KRÖGER ◽  
S. LANTAGNE ◽  
K.J.M. MORIARTY
Keyword(s):  
Gauge Theory ◽  
Strong Coupling ◽  
Wilson Loop ◽  
Lattice Gauge Theory ◽  
Strong Coupling Regime ◽  
Lattice Gauge ◽  
Area Law

Recently, a fractal Wilson loop <FP> has been suggested to yield for non-compact SU(2) gauge theory an area law in the strong-coupling regime, while the standard Wilson loop <WP> yields a perimeter law. Here we consider non-compact U(1) gauge theory, compute the fractal Wilson loop analytically, and obtain a perimeter law for all coupling. We find that <FP> and <WP> coincide.

scholarly journals Center group dominance in quark confinement

2021 ◽  
Author(s):  
Ryu Ikeda ◽  
Kei-Ichi Kondo
Keyword(s):  
Gauge Theory ◽  
Gauge Group ◽  
Wilson Loop ◽  
Lattice Gauge Theory ◽  
Quark Confinement ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Lattice Gauge ◽  
Area Law

Abstract We show that the color N dependent area law falloffs of the double-winding Wilson loop averages for the SU(N) lattice gauge theory obtained in the preceding works are reproduced from the corresponding lattice Abelian gauge theory with the center gauge group ZN . This result indicates the center group dominance in quark confinement.

scholarly journals What are the confining field configurations of strong-coupling lattice gauge theory?

2000 ◽  
Vol 2000 (06) ◽  
pp. 041-041 ◽  
Author(s):  
Manfried Faber ◽  
Jeff Greensite ◽  
Stefan Olejník
Keyword(s):  
Gauge Theory ◽  
Strong Coupling ◽  
Lattice Gauge Theory ◽  
Lattice Gauge
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