Adjoint Wilson Line in SU(2) Lattice Gauge Theory

Details Adjoint Wilson Line in SU(2) Lattice Gauge Theory Adjoint Wilson Line in SU(2) Lattice Gauge Theory

1993-07-13

arxiv.org/abs/hep-lat/9307012v1

Phys.Rev. D49 (1994) 528-534

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, no figures, Latex/Revtex 3, UCD-93-19

Scientific paper

10.1103/PhysRevD.49.528

The behavior of the adjoint Wilson line in finite-temperature, $SU(2)$, lattice gauge theory is discussed. The expectation value of the line and the associated excess free energy reveal the response of the finite-temperature gauge field to the presence of an adjoint source. The value of the adjoint line at the critical point of the deconfining phase transition is highlighted. This is not calculable in weak or strong coupling. It receives contributions from all scales and is nonanalytic at the critical point. We determine the general form of the free energy. It includes a linearly divergent term that is perturbative in the bare coupling and a finite, nonperturbative piece. We use a simple flux tube model to estimate the value of the nonperturbative piece. This provides the normalization needed to estimate the behavior of the line as one moves along the critical curve into the weak coupling region.

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