Quantum phase transitions and new scales in QCD-like theories

Abstract

It is commonly believed that in confining vector-like gauge theories the center and chiral symmetry realizations are parametrically entangled, and if phase transitions occur, they must take place around the strong scale ${\Lambda }^{-1}$ of the gauge theory. We demonstrate that (non-thermal) vector-like theories formulated on ${\mathbb{R}}^3\times S^1$ where $S^1$ is a spatial circle exhibit new dynamical scales and new phenomena. There are chiral phase transitions taking place at ${\Lambda }^{-1}/N_c$ in the absence of any change in center symmetry. ${\Lambda }^{-1}/N_c$, invisible in (planar) perturbation theory, is also the scale where abelian versus non-abelian confinement regimes meet. Large $N_c$ volume independence (a working Eguchi-Kawai reduction) provides new insights and independently confirms the existence of these scales. We show that certain phases and scales are outside the reach of holographic (supergravity) modeling of QCD.

4 pages, 1 figure

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Cited by in corpus (16)

• Light-Front Holographic QCD and Emerging Confinement
• SU(N) gauge theories at large N
• Effective matrix model for deconfinement in pure gauge theories
• Adjoint QCD on ${\mathbb{R}}^3\times S^1$ with twisted fermionic boundary conditions
• Large-N volume independence in conformal and confining gauge theories
• Small shear viscosity in the semi quark gluon plasma
• Chiral Lagrangian from Duality and Monopole Operators in Compactified QCD
• Collisional energy loss above the critical temperature in QCD
• Emergent Dimensions and Braneworlds from Large-N Confinement
• Bose-Fermi Degeneracies in Large $N$ Adjoint QCD
• Bose-Fermi cancellations without supersymmetry
• Monte-Carlo simulations of overlap Majorana fermions
• Symmetry Crossover Protecting Chirality in Dirac Spectra
• Lattice simulations of adjoint QCD with one Dirac overlap fermion
• Large N and Bosonization in Three Dimensions
• Flow of Hagedorn singularities and phase transitions in large $N$ gauge theories