Renormalization of SU(2) Yang–Mills theory with flow equations

Alexander Efremov (1) , Riccardo Guida (2) , Christoph Kopper (1)

1 CPHT - Centre de Physique Théorique [Palaiseau]
2 IPHT - Institut de Physique Théorique - UMR CNRS 3681

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 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.

Domaines: Physique mathématique [math-ph]

Alexander Efremov, Riccardo Guida, Christoph Kopper. Renormalization of SU(2) Yang–Mills theory with flow equations. Journal of Mathematical Physics, 2017, 58, pp.093503. ⟨10.1063/1.5000041⟩. ⟨cea-01614681⟩