Chiral symmetry and the Yang--Mills gradient flow

Abstract

In the last few years, the Yang--Mills gradient flow was shown to be an attractive tool for non-perturbative studies of non-Abelian gauge theories. Here a simple extension of the flow to the quark fields in QCD is considered. As in the case of the pure-gauge gradient flow, the renormalizability of correlation functions involving local fields at positive flow times can be established using a representation through a local field theory in 4+1 dimensions. Applications of the extended flow in lattice QCD include non-perturbative renormalization and O(a) improvement as well as accurate calculations of the chiral condensate and of the pseudo-scalar decay constant in the chiral limit.

Plain TeX source, 49 pages, 1 figure. Corrected misprint in eq.(2.12) (thanks to Ulli Wolff for noticing this). Text and all other equations are unchanged

References in corpus (4)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• Studying the gradient flow coupling in the Schrödinger functional
• The gradient flow coupling in the Schrödinger Functional
• The gradient flow running coupling scheme

Cited by in corpus (126)

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