Space-time symmetries and the Yang-Mills gradient flow

被引：0
作者：
L. Del Debbio
A. Patella
A. Rago
机构：
[1] University of Edinburgh,Higgs Centre for Theoretical Physics, School of Physics and Astronomy
[2] PH-TH,School of Computing and Mathematics & Centre for Mathematical Science
[3] CERN,undefined
[4] Plymouth University,undefined
来源：
Journal of High Energy Physics | / 2013卷
关键词：
Lattice Gauge Field Theories; Space-Time Symmetries; Renormalization Group;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The recent introduction of the gradient flow has provided a new tool to probe the dynamics of quantum field theories. The latest developments have shown how to use the gradient flow for the exploration of symmetries, and the definition of the corresponding renormalized Noether currents. In this paper we introduce infinitesimal translations along the gradient flow for gauge theories, and study the corresponding Ward identities. This approach is readily generalized to the case of gauge theories defined on a lattice, where the regulator breaks translation invariance. The Ward identities in this case lead to a nonperturbative renormalization of the energy-momentum tensor. We discuss an application of this method to the study of dilatations and scale invariance on the lattice.
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