Regularized Quantum Master Equation in the Wilsonian Renormalization Group

Details Regularized Quantum Master Equation in the Wilsonian Renormalization Group Regularized Quantum Master Equation in the Wilsonian Renormalization Group

2001-09-26

arxiv.org/abs/hep-th/0109202v1

JHEP 0110:032,2001

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1088/1126-6708/2001/10/032

Using the Pauli-Villars regularization, we make a perturbative analysis of the quantum master equation (QME), $\Sigma =0$, for the Wilsonian effective action. It is found that the QME for the UV action determines whether exact gauge symmetry is realized along the renormalization group (RG) flow. The basic task of solving the QME can be reduced to compute the Troost-van Niuwenhuizen-Van Proyen jacobian factor for the classical UV action. When the QME cannot be satisfied, the non-vanishing $\Sigma$ is proportional to a BRS anomaly, which is shown to be preserved along the RG flow. To see how the UV action fulfills the QME in anomaly free theory, we calculate the jacobian factor for a pure Yang-Mills theory in four dimensions.

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