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Perturbative analysis of the gradient flow in non-abelian gauge theories
The gradient flow in non-abelian gauge theories on R^4 is defined by a local diffusion equation that evolves the gauge field as a function of the flow time in a gauge-covariant manner. Similarly to the case of the Langevin equation, the correlation functions of the time-dependent field can be expand...
Autores principales: | , |
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Lenguaje: | eng |
Publicado: |
2011
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Acceso en línea: | https://dx.doi.org/10.1007/JHEP02(2011)051 http://cds.cern.ch/record/1319500 |
_version_ | 1780921460454326272 |
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author | Lüscher, Martin Weisz, Peter |
author_facet | Lüscher, Martin Weisz, Peter |
author_sort | Lüscher, Martin |
collection | CERN |
description | The gradient flow in non-abelian gauge theories on R^4 is defined by a local diffusion equation that evolves the gauge field as a function of the flow time in a gauge-covariant manner. Similarly to the case of the Langevin equation, the correlation functions of the time-dependent field can be expanded in perturbation theory, the Feynman rules being those of a renormalizable field theory on R^4 x [0,oo). For any matter multiplet and to all loop orders, we show that the correlation functions are finite, i.e.~do not require additional renormalization, once the theory in four dimensions is renormalized in the usual way. The flow thus maps the gauge field to a one-parameter family of smooth renormalized fields. |
id | cern-1319500 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2011 |
record_format | invenio |
spelling | cern-13195002019-09-30T06:29:59Zdoi:10.1007/JHEP02(2011)051http://cds.cern.ch/record/1319500engLüscher, MartinWeisz, PeterPerturbative analysis of the gradient flow in non-abelian gauge theoriesParticle Physics - TheoryThe gradient flow in non-abelian gauge theories on R^4 is defined by a local diffusion equation that evolves the gauge field as a function of the flow time in a gauge-covariant manner. Similarly to the case of the Langevin equation, the correlation functions of the time-dependent field can be expanded in perturbation theory, the Feynman rules being those of a renormalizable field theory on R^4 x [0,oo). For any matter multiplet and to all loop orders, we show that the correlation functions are finite, i.e.~do not require additional renormalization, once the theory in four dimensions is renormalized in the usual way. The flow thus maps the gauge field to a one-parameter family of smooth renormalized fields.arXiv:1101.0963CERN-PH-TH-2010-290MPP-2010-165oai:cds.cern.ch:13195002011-01-06 |
spellingShingle | Particle Physics - Theory Lüscher, Martin Weisz, Peter Perturbative analysis of the gradient flow in non-abelian gauge theories |
title | Perturbative analysis of the gradient flow in non-abelian gauge theories |
title_full | Perturbative analysis of the gradient flow in non-abelian gauge theories |
title_fullStr | Perturbative analysis of the gradient flow in non-abelian gauge theories |
title_full_unstemmed | Perturbative analysis of the gradient flow in non-abelian gauge theories |
title_short | Perturbative analysis of the gradient flow in non-abelian gauge theories |
title_sort | perturbative analysis of the gradient flow in non-abelian gauge theories |
topic | Particle Physics - Theory |
url | https://dx.doi.org/10.1007/JHEP02(2011)051 http://cds.cern.ch/record/1319500 |
work_keys_str_mv | AT luschermartin perturbativeanalysisofthegradientflowinnonabeliangaugetheories AT weiszpeter perturbativeanalysisofthegradientflowinnonabeliangaugetheories |