The Role of Monopoles for Color Confinement

Abstract

We study the role of the monopole for color confinement by using the monopole current system. For the self-energy of the monopole current less than ln$(2d-1)$, long and complicated monopole world-lines appear and the Wilson loop obeys the area law, and therefore the monopole current system almost reproduces essential features of confinement properties in the long-distance physics. In the short-distance physics, however, the monopole-current theory would become nonlocal due to the monopole size effect. This monopole size would provide a critical scale of QCD in terms of the dual Higgs mechanism.

3 pages LaTeX, 3 figures, uses espcrc2.sty, Talk presented at lattice97, Edinburgh, Scotland, July. 1997

References in corpus (2)

• Color Confinement, Quark Pair Creation and Dynamical Chiral-Symmetry Breaking in the Dual Ginzburg-Landau Theory
• Polyakov Loops and Magnetic Screening from Monopoles in SU(2) Lattice Gauge Theory

Cited by in corpus (2)

• Semi-analytical Proof of Abelian Dominance on Confinement in the Maximally Abelian Gauge
• Monopoles and Gluon Fields in QCD in the Maximally Abelian Gauge