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Lattice energy-momentum tensor from the Yang-Mills gradient flow -- a simpler prescription

2014/04/10 by Hiroki Makino, Hiroshi Suzuki, Makino, Hiroki +1
Engineering · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #Superconducting Materials and Applications

paper · pdf · doi:10.48550/arxiv.1404.2758

openalex publication_date 2014/04/10 · openalex created_date 2016/08/23 · openalex updated_date 2026/07/28

Abstract

In a recent paper [arXiv:1403.4772], we gave a prescription how to construct a correctly-normalized conserved energy--momentum tensor in lattice gauge theory containing fermions, on the basis of the Yang--Mills gradient flow. In the present note, we give an almost identical but somewhat superior prescription with which one can simply set the fermion mass parameter in our formulation zero for the massless fermion. This feature will be useful in applying our formulation to theories in which the masslessness of the fermion is crucial, such as multi-flavor gauge theories with an infrared fixed point.

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