Space-time symmetries and the Yang-Mills gradient flow

Del Debbio, Luigi; Patella, Agostino; Rago, Antonio

doi:10.1007/JHEP11(2013)212

Space-time symmetries and the Yang-Mills gradient flow

Jun 5, 2013

25 pages

Published in:

JHEP 11 (2013) 212

Published: 2013

e-Print:

1306.1173 [hep-th]

DOI:

10.1007/JHEP11(2013)212

Report number:

CERN-PH-TH-2013-12,
CERN-PH-TH-2013-112

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Abstract: (arXiv)

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.

Note:

29 pages •
Listed as CERN-PH-TH-2013-112 on the 2013 TH secretariat list

Energy-momentum tensor
Yang-Mills gradient flow
Lattice gauge theory
Wilson flow
Dilatations
tensor: energy-momentum: renormalization
renormalization: nonperturbative
symmetry: space-time
flow: Yang-Mills
gauge field theory

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