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Confining properties of the homogeneous self-dual field and the effective potential in SU(2) Yang-Mills theory

1998/06/30 by G. V. Efimov, Alex C. Kalloniatis, A. C. Kalloniatis +2 · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1103/physrevd.59.014026

published as Phys.Rev. D59 (1999) 014026 · 31 pages, LaTeX, expanded discussion and derivations in Sections 2 and 4

arxiv created 1998/08/15 · openalex publication_date 1998/12/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We examine in non-Abelian gauge theory the heavy quark limit in the presence of the (anti-)self-dual homogeneous background field and see that a confining potential emerges, consistent with the Wilson criterion, although the potential is quadratic and not linear in the quark separation. This builds upon the well-known feature that propagators in such a background field are entire functions. The way in which deconfinement can occur at finite temperature is then studied in the static temporal gauge by calculation of the effective potential at high temperature. Finally we discuss the problems to be surmounted in setting up the calculation of the effective potential nonperturbatively on the lattice.

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