Background field method in the gradient flow

Research output: Contribution to journalConference article

Abstract

The Yang-Mills gradient flow and its extension to the fermion field provide a very general method to obtain renormalized observables in gauge theory. The method is applicable also with non- perturbative regularization such as lattice. The gradient flow thus offers useful probes to study non-perturbative dynamics of gauge theory. In this work, aiming at possible simplification in per-Turbative calculations associated with the gradient flow, a modification of the gauge-fixed version of the flow equation, which preserves gauge covariance under the background gauge transforma-Tion, is proposed. This formulation allows for example a very quick one-loop calculation of the small flow time expansion of a composite operator that is relevant to the construction of a lattice energy-momentum tensor. Some details of the calculation, which have not been given elsewhere, are presented.

Original languageEnglish
Article number304
JournalProceedings of Science
Volume14-18-July-2015
Publication statusPublished - Jan 1 2015
Event33rd International Symposium on Lattice Field Theory, LATTICE 2015 - Kobe, Japan
Duration: Jul 14 2015Jul 18 2015

Fingerprint

gradients
gauge theory
lattice energy
flow equations
simplification
fermions
tensors
momentum
formulations
operators
expansion
composite materials
probes

All Science Journal Classification (ASJC) codes

  • General

Cite this

Background field method in the gradient flow. / Suzuki, Hiroshi.

In: Proceedings of Science, Vol. 14-18-July-2015, 304, 01.01.2015.

Research output: Contribution to journalConference article

@article{86307054424e47f38a60e82ff0a22bf6,
title = "Background field method in the gradient flow",
abstract = "The Yang-Mills gradient flow and its extension to the fermion field provide a very general method to obtain renormalized observables in gauge theory. The method is applicable also with non- perturbative regularization such as lattice. The gradient flow thus offers useful probes to study non-perturbative dynamics of gauge theory. In this work, aiming at possible simplification in per-Turbative calculations associated with the gradient flow, a modification of the gauge-fixed version of the flow equation, which preserves gauge covariance under the background gauge transforma-Tion, is proposed. This formulation allows for example a very quick one-loop calculation of the small flow time expansion of a composite operator that is relevant to the construction of a lattice energy-momentum tensor. Some details of the calculation, which have not been given elsewhere, are presented.",
author = "Hiroshi Suzuki",
year = "2015",
month = "1",
day = "1",
language = "English",
volume = "14-18-July-2015",
journal = "Proceedings of Science",
issn = "1824-8039",
publisher = "Sissa Medialab Srl",

}

TY - JOUR

T1 - Background field method in the gradient flow

AU - Suzuki, Hiroshi

PY - 2015/1/1

Y1 - 2015/1/1

N2 - The Yang-Mills gradient flow and its extension to the fermion field provide a very general method to obtain renormalized observables in gauge theory. The method is applicable also with non- perturbative regularization such as lattice. The gradient flow thus offers useful probes to study non-perturbative dynamics of gauge theory. In this work, aiming at possible simplification in per-Turbative calculations associated with the gradient flow, a modification of the gauge-fixed version of the flow equation, which preserves gauge covariance under the background gauge transforma-Tion, is proposed. This formulation allows for example a very quick one-loop calculation of the small flow time expansion of a composite operator that is relevant to the construction of a lattice energy-momentum tensor. Some details of the calculation, which have not been given elsewhere, are presented.

AB - The Yang-Mills gradient flow and its extension to the fermion field provide a very general method to obtain renormalized observables in gauge theory. The method is applicable also with non- perturbative regularization such as lattice. The gradient flow thus offers useful probes to study non-perturbative dynamics of gauge theory. In this work, aiming at possible simplification in per-Turbative calculations associated with the gradient flow, a modification of the gauge-fixed version of the flow equation, which preserves gauge covariance under the background gauge transforma-Tion, is proposed. This formulation allows for example a very quick one-loop calculation of the small flow time expansion of a composite operator that is relevant to the construction of a lattice energy-momentum tensor. Some details of the calculation, which have not been given elsewhere, are presented.

UR - http://www.scopus.com/inward/record.url?scp=84988564380&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84988564380&partnerID=8YFLogxK

M3 - Conference article

VL - 14-18-July-2015

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

M1 - 304

ER -