Exact BRS Symmetry realized on the Renormalization Group Flow

Details Exact BRS Symmetry realized on the Renormalization Group Flow Exact BRS Symmetry realized on the Renormalization Group Flow

2000-06-22

arxiv.org/abs/hep-th/0006180v1

Prog.Theor.Phys. 104 (2000) 1053-1066

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 15 pages

Scientific paper

10.1143/PTP.104.1053

Using the average action defined with a continuum analog of the block spin transformation, we show the presence of gauge symmetry along the Wilsonian renormalization group flow. As a reflection of the gauge symmetry, the average action satisfies the quantum master equation(QME). We show that the quantum part of the master equation is naturally understood once the measure contribution under the BRS transformation is taken into account. Furthermore an effective BRS transformation acting on macroscopic fields may be defined from the QME. The average action is explicitly evaluated in terms of the saddle point approximation up to one-loop order. It is confirmed that the action satisfies the QME and the flow equation.

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