(S)QCD on R^3 x S^1: Screening of Polyakov loop by fundamental quarks and the demise of semi-classics

Abstract

Recently, it was argued that the thermal deconfinement transition in pure Yang-Mills theory is continuously connected to a quantum phase transition in softly-broken N=1 SYM theory on R^3 x S^1. The transition is semiclassically calculable at small S^1 size L, occurs as the soft mass m_soft and L vary, and is driven by a competition between perturbative effects and nonperturbative topological molecules. These are correlated instanton--anti-instanton tunneling events, whose constituents are monopole-instantons "bound" by attractive long-range forces. The mechanism driving the transition is universal for all simple gauge groups, with or without a center, such as SU(N) or G_2. Here, we consider theories with fundamental quarks. We examine the role topological objects play in determining the fate of the (exact or approximate) center-symmetry in SU(2) SQCD, with or without soft-breaking terms. In theories whose large-m_soft limit is thermal nonsupersymmetric QCD with massive quarks, we find a crossover of the Polyakov loop, from approximately center-symmetric at small 1/L to maximally center-broken at larger 1/L, as seen in lattice thermal QCD with massive quarks and T=1/L. We argue that in all calculable cases, including SQCD with exact center symmetry, quarks deform instanton-monopoles by their quantum fluctuations and do not contribute to their binding. The semiclassical approximation and the molecular picture of the vacuum fail, upon decreasing the quark mass, precisely when quarks would begin mediating a long-range attractive force between monopole-instantons, calling for a dual description of the resulting strong-coupling theory.

40 pages, 2 figures

References in corpus (13)

• SU(N) gauge theories at large N
• 3d dualities from 4d dualities
• Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions
• Aspects of 3d N=2 Chern-Simons-Matter Theories
• Improved Polyakov-loop potential for effective models from functional calculations
• Exceptional Deconfinement in G(2) Gauge Theory
• G_2 gauge theory at finite temperature
• Phase diagram of Yang-Mills theories in the presence of a theta term
• Lectures on instantons
• Phase Transitions, theta Behavior and Instantons in QCD and its Holographic Model
• Holonomy potential and confinement from a simple model of the gauge topology
• QCD Topology at Finite Temperature: Statistical Mechanics of Selfdual Dyons
• Two loop partition function for large N pure Yang-Mills theory on a small three-sphere

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