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One-dimensional classical adjoint SU(2) Coulomb gas

1997/01/21 by Michael Engelhardt
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Chromodynamics and Particle Interactions #Theoretical and Computational Physics #hep-th

paper · pdf · doi:10.1103/physrevd.56.1050

published as Phys.Rev. D56 (1997) 1050-1054 · 6 pages, 1 postscript figure

arxiv created 1997/01/21 · openalex publication_date 1997/07/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The equation of state of a one-dimensional classical nonrelativistic Coulomb gas of particles in the adjoint representation of SU(2) is given. The problem is solved both with and without sources in the fundamental representation at either end of the system. The gas exhibits confining properties at low densities and temperatures and deconfinement in the limit of high densities and temperatures. However, there is no phase transition to a regime where the string tension vanishes identically; true deconfinement only happens for infinite densities and temperatures. In the low-density, low-temperature limit, a new type of collective behavior is observed.

Citations