Monopole Loop Distribution and Confinement in SU(2) Lattice Gauge Theory

Details Monopole Loop Distribution and Confinement in SU(2) Lattice Gauge Theory Monopole Loop Distribution and Confinement in SU(2) Lattice Gauge Theory

1998-02-27

arxiv.org/abs/hep-lat/9802035v5

Phys.Lett. B455 (1999) 239-245

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages Latex, 4 eps figures. Minor editing. Final version, to appear in Physics Letters B

Scientific paper

10.1016/S0370-2693(99)00449-9

The abelian-projected monopole loop distribution is extracted from maximal abelian gauge simulations. The number of loops of a given length falls as a power of the length nearly independent of lattice size. This power increases with $\beta=4/g^2$, reaching five around $\beta=2.85$, beyond which loops any finite fraction of the lattice size vanish in the infinite lattice limit, suggesting the continuum theory lacks confinement.

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