Chiral symmetry breaking at large N_c

Abstract

We present numerical evidence for the hypothesis that, in the planar limit, four dimensional Euclidean Yang-Mills theory on a finite symmetrical four-torus breaks chiral symmetry spontaneously when the length of the sides l is larger than a critical value l_c with a bilinear condensate whose value is independent of l. Therefore spontaneous symmetry breaking occurs at finite volume and infinite N_c reduction holds for the chiral condensate.

43 pages, 16 figures, 1 table, more typos corrected

Cited by in corpus (34)

• Infinite N phase transitions in continuum Wilson loop operators
• Collective perspective on advances in Dyson-Schwinger Equation QCD
• SU(N) gauge theories at large N
• Hadron Properties and Dyson-Schwinger Equations
• Mesons in large-N QCD
• Flavour symmetry breaking and meson masses
• A non-perturbative study of 4d U(1) non-commutative gauge theory -- the fate of one-loop instability
• Non-perturbative volume-reduction of large-N QCD with adjoint fermions
• Instabilities of the Small Black Hole: a view from N=4 SYM
• The quark mass dependence of the pion mass at infinite N
• Universality of large N phase transitions in Wilson loop operators in two and three dimensions
• The condensate for two dynamical chirally improved quarks in QCD
• QCD in One Dimension at Nonzero Chemical Potential
• Large Nc Continuum Reduction and the Thermodynamics of QCD
• Lattice Study of Planar Equivalence: The Quark Condensate
• Computation of the string tension in four-dimensional Yang-Mills theory using large N reduction
• Dirac Spectra of 2-dimensional QCD-like theories
• The vector meson mass in the large N limit of QCD
• Large $N_c$ QCD at non-zero chemical potential
• Computation of the string tension in three dimensional Yang-Mills theory using large N reduction
• Large N reduction on a twisted torus
• Burgers-like equation for spontaneous breakdown of the chiral symmetry in QCD
• Chiral Random Matrix Theory and Chiral Perturbation Theory
• Quark pseudoscalar vertex and quark mass function with clover fermions : spontaneous symmetry breaking, OPE, symmetry restoration at small volume
• Divergent chiral condensate in the quenched Schwinger model
• Chiral symmetry restoration at finite temperature in the planar limit
• The Large N Reduction in Matrix Quantum Mechanics -- a Bridge between BFSS and IKKT --
• Two dimensional fermions in four dimensional YM
• Two dimensional fermions in three dimensional YM
• Large-$N_c$ gauge theory and chiral random matrix theory
• QCD Dirac Spectra and the Toda Lattice
• More about chiral symmetry restoration at finite temperature in the planar limit
• Lattice Chirality and its uses at large N
• Large N QCD -- Continuum reduction and chiral condensate