A continuous one-parameter family of holographic geometries interpolates between confining and deconfined phases, with string tension and chiral condensate vanishing smoothly at the black hole endpoint.
Abelian duality, confinement, and chiral symmetry breaking in QCD(adj)
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We analyze the vacuum structure of SU(2) QCD with multiple massless adjoint representation fermions formulated on a small spatial $S^1 \times \R^3$. The absence of thermal fluctuations, and the fact that quantum fluctuations favoring the vacuum with unbroken center symmetry in a weakly coupled regime renders the interesting dynamics of these theories analytically calculable. Confinement, the area law behavior for large Wilson loops, and the generation of the mass gap in the gluonic sector are shown analytically. By abelian duality transformation, the long distance effective theory of QCD is mapped into an amalgamation of $d=3$ dimensional Sine-Gordon and NJL models. The duality necessitates going to IR first. In this regime, theory exhibits confinement without continuous chiral symmetry breaking. However, a flavor singlet chiral condensate (which breaks a discrete chiral symmetry) persists at arbitrarily small $S^1$. Under the reasonable assumption that the theory on $\R^4$ exhibits chiral symmetry breaking, there must exist a zero temperature chiral phase transition in the absence of any change in spatial center symmetry realizations.
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The local moduli space of self-dual fractional instantons (Q = r/N) on a twisted four-torus is the Higgs branch of an N=2 supersymmetric theory, obtained via wrapped intersecting D-brane configurations.
Simulations of a partially reduced twisted Eguchi-Kawai model with one adjoint Dirac fermion show the Polyakov loop remains near zero for periodic boundary conditions as the compactified circle shrinks, supporting adiabatic continuity of the confined phase.
citing papers explorer
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Confinement and chiral symmetry breaking in holography: a smooth switch-off
A continuous one-parameter family of holographic geometries interpolates between confining and deconfined phases, with string tension and chiral condensate vanishing smoothly at the black hole endpoint.
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D-branes and fractional instantons on a twisted four torus: the moduli space as an N=2 supersymmetric Higgs branch
The local moduli space of self-dual fractional instantons (Q = r/N) on a twisted four-torus is the Higgs branch of an N=2 supersymmetric theory, obtained via wrapped intersecting D-brane configurations.
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Adiabatic continuity in a partially reduced twisted Eguchi-Kawai model with one adjoint Dirac fermion
Simulations of a partially reduced twisted Eguchi-Kawai model with one adjoint Dirac fermion show the Polyakov loop remains near zero for periodic boundary conditions as the compactified circle shrinks, supporting adiabatic continuity of the confined phase.