Universal Features of Chiral Symmetry Breaking in Large-$N$ QCD

Fuente: arXiv
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Autori principali: Bonanno, Claudio, Pérez, Margarita García, González-Arroyo, Antonio, Ishikawa, Ken-Ichi, Okawa, Masanori, Panfalone, Dario
Natura: Preprint
Pubblicazione: 2025
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author Bonanno, Claudio
Pérez, Margarita García
González-Arroyo, Antonio
Ishikawa, Ken-Ichi
Okawa, Masanori
Panfalone, Dario
author_facet Bonanno, Claudio
Pérez, Margarita García
González-Arroyo, Antonio
Ishikawa, Ken-Ichi
Okawa, Masanori
Panfalone, Dario
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_25644
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Universal Features of Chiral Symmetry Breaking in Large-$N$ QCD
Bonanno, Claudio
Pérez, Margarita García
González-Arroyo, Antonio
Ishikawa, Ken-Ichi
Okawa, Masanori
Panfalone, Dario
High Energy Physics - Lattice
High Energy Physics - Theory
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.
title Universal Features of Chiral Symmetry Breaking in Large-$N$ QCD
topic High Energy Physics - Lattice
High Energy Physics - Theory
url https://arxiv.org/abs/2510.25644