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arXiv · 1704.06799

Renormalization of SU(2) Yang-Mills theory with Flow Equations

Alexander N. Efremov·Riccardo Guida·Christoph Kopper
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Abstract

We give a proof of perturbative renormalizability of SU(2) Yang--Mills theory in four-dimensional Euclidean space which is based on the Flow Equations of the renormalization group. The main motivation is to present a proof which does not make appear mathematically undefined objects (as for example dimensionally regularized generating functionals), which permits to parametrize the theory in terms of {\it physical} renormalization conditions, and which allows to control the singularities of the correlation functions of the theory in the infrared domain. Thus a large part of the proof is dedicated to bounds on massless correlation functions.

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Alexander N. Efremov, Riccardo Guida, Christoph Kopper. 2017-04-22. Renormalization of SU(2) Yang-Mills theory with Flow Equations. https://doi.org/10.1063/1.5000041

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