New Results in SU(N) Gauge Matrix Models - Chiral Anomaly and Light Hadron Masses

Vaidya, S and Acharyya, N and Pandey, M (2022) New Results in SU(N) Gauge Matrix Models - Chiral Anomaly and Light Hadron Masses. In: Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2021), 29 August - 9 October 2021, Corfu, Greece.

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Abstract

he SU(N) Yang-Mills matrix model admits self-dual and anti-self-dual instantons. When coupled to Nf flavors of massless quarks, the Euclidean Dirac equation in an instanton background has n+ positive and n− negative chirality zero modes. We show that the index (n+−n−) is equal to a suitably defined instanton charge. Further, we show that the path integral measure is not invariant under a chiral rotation, and relate the non-invariance of the measure to the index of the Dirac operator. Axial symmetry is broken anomalously, with the residual symmetry being a finite group. For Nf fundamental fermions, this residual symmetry is Z2Nf, whereas for adjoint quarks it is Z4Nf.

Item Type:	Conference Paper
Publication:	Proceedings of Science
Publisher:	Sissa Medialab Srl
Additional Information:	The copyright for this article belongs to the Sissa Medialab Srl.
Keywords:	Elementary particles; Lattice theory; Linear equations, Chiral anomaly; Dirac's equation; Euclidean; Index n; Instantons; Light hadrons; Matrix model; New results; Path integral; Self-dual, Gages
Department/Centre:	Division of Physical & Mathematical Sciences > Physics
Date Deposited:	18 Jan 2023 04:52
Last Modified:	18 Jan 2023 04:52
URI:	https://eprints.iisc.ac.in/id/eprint/79195

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