Chiral symmetry restoration at finite temperature in the planar limit

Abstract

We investigate numerically chiral symmetry restoration at finite temperature in the planar limit in the deconfined phase, both when it is stable and when the system is supercooled. We find chiral symmetry restoration at $T_{\chi }=T_d$, where $T_d$ is the temperature of the deconfinement transition in pure gauge theory and $T_{\chi }<T_d$ in the supercooled deconfined phase. In the stable case the spectrum of the Dirac operator opens a gap in a discontinuous manner and in the supercooled phase the gap seems to vanish continuously.

arXiv comment13 pages, 2 figures, one table, uses JHEP3.cls

References in corpus (14)

• Exactly massless quarks on the lattice
• A construction of lattice chiral gauge theories
• More about exactly massless quarks on the lattice
• Random matrix theory and spectral sum rules for the Dirac operator in QCD
• Random Matrix Theory and Chiral Symmetry in QCD
• Properties of the deconfining phase transition in SU(N) gauge theories
• Does the crossover from perturbative to nonperturbative physics in QCD become a phase transition at infinite N ?
• A random matrix model for chiral symmetry breaking
• Chiral symmetry at finite T, the phase of the Polyakov loop and the spectrum of the Dirac operator
• The chiral phase transition in a random matrix model with molecular correlations
• Chiral symmetry breaking at large N_c
• Low-lying Eigenvalues of the QCD Dirac Operator at Finite Temperature
• Large Nc Continuum Reduction and the Thermodynamics of QCD
• Lattice Chirality

Cited by in corpus (6)

• Phases of Dense Quarks at Large N_c
• SU(N) gauge theories at large N
• On finite-temperature holographic QCD in the Veneziano limit
• Anderson localization through Polyakov loops: lattice evidence and Random matrix model
• Mesons and tachyons with confinement and chiral restoration, and NA60
• More about chiral symmetry restoration at finite temperature in the planar limit