Perturbative analysis of the gradient flow in non-Abelian gauge theories
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Publication:407245
DOI10.1007/JHEP02(2011)051zbMATH Open1294.81292arXiv1101.0963OpenAlexW2114997124WikidataQ59267152 ScholiaQ59267152MaRDI QIDQ407245
Author name not available (Why is that?)
Publication date: 29 August 2014
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/1101.0963
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