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

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.

97 pages

References in corpus (4)

• Exact evolution equation for the effective potential
• Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
• Renormalization of SU(2) Yang-Mills theory with Flow Equations
• All-order bounds for correlation functions of gauge-invariant operators in Yang-Mills theory

Cited by in corpus (7)

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• Constructing CFTs from AdS flows
• The gluon condensate in an effective SU(2) Yang-Mills theory