Coulomb Energy, Remnant Symmetry, and the Phases of Non-Abelian Gauge Theories

Abstract

We show that the confining property of the one-gluon propagator, in Coulomb gauge, is linked to the unbroken realization of a remnant gauge symmetry which exists in this gauge. An order parameter for the remnant gauge symmetry is introduced, and its behavior is investigated in a variety of models via numerical simulations. We find that the color-Coulomb potential, associated with the gluon propagator, grows linearly with distance both in the confined and - surprisingly - in the high-temperature deconfined phase of pure Yang-Mills theory. We also find a remnant symmetry-breaking transition in SU(2) gauge-Higgs theory which completely isolates the Higgs from the (pseudo)confinement region of the phase diagram. This transition exists despite the absence, pointed out long ago by Fradkin and Shenker, of a genuine thermodynamic phase transition separating the two regions.

arXiv comment18 pages, 19 figures, revtex4

References in corpus (14)

• The Confinement Problem in Lattice Gauge Theory
• On the relevance of center vortices to QCD
• Non-perturbative Faddeev-Popov formula and infrared limit of QCD
• No confinement without Coulomb confinement
• Coulomb Energy, Vortices, and Confinement
• Lattice Coulomb Hamiltonian and Static Color-Coulomb Field
• Gluon Chain Model of the Confining Force
• Renormalization-group Calculation of Color-Coulomb Potential
• On practical problems to compute the ghost propagator in SU(2) lattice gauge theory
• Center Dominance in SU(2) Gauge-Higgs Theory
• The String Tension in Gauge Theories: a Suggestion for a New Measurement Method
• Gluon propagator and confinement scenario in Coulomb gauge
• Cluster Percolation and Thermal Critical Behaviour
• Hadrons Without Strings

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