Universal Features of Chiral Symmetry Breaking in Large-N QCD

2025/10/29 by Bonanno, Claudio, Pérez, Margarita García, González-Arroyo, Antonio +3
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2510.25644

Abstract

We investigate the universal features of chiral symmetry breaking in large-N QCD by comparing non-perturbative determinations of the low-lying Dirac spectrum with chiral Random Matrix Theory (RMT) predictions. Our numerical Monte Carlo calculations are based on a chiral lattice discretization of the Dirac operator, and exploit twisted volume reduction to reach N as large as 841. Matching lattice data with RMT analytic results, we are able to extract the large-N chiral condensate, which is compared with a recent determination obtained with non-chiral Wilson quarks from twisted volume-reduced models.

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Related

• The large-N limit of the chiral condensate from twisted reduced models
• Large Nc volume reduction and chiral random matrix theory
• The chiral condensate at large N
• Chiral Symmetry Breaking and Quark Bilinear Condensate in Large N QCD
• Large-N_c and Chiral Limits of QCD and Models of the Baryon