Exact BRS Symmetry Realized along the Renormalization Group Flow | Zendy

Yuji Igarashi | Zendy; Katsumi Itoh | Zendy; Hiroto So | Zendy

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Exact BRS Symmetry Realized along the Renormalization Group Flow

Author(s) -

Yuji Igarashi,

Katsumi Itoh,

Hiroto So

Publication year - 2000

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.104.1053

Subject(s) - physics , mathematical physics , quantum master equation , renormalization group , effective action , gauge symmetry , action (physics) , flow (mathematics) , gauge theory , saddle point , symmetry (geometry) , functional renormalization group , renormalization , quantum , quantum mechanics , master equation , classical mechanics , geometry , mathematics , mechanics

Using the average action defined with a continuum analog of the block spintransformation, we show the presence of gauge symmetry along the Wilsonianrenormalization group flow. As a reflection of the gauge symmetry, the averageaction satisfies the quantum master equation(QME). We show that the quantumpart of the master equation is naturally understood once the measurecontribution under the BRS transformation is taken into account. Furthermore aneffective BRS transformation acting on macroscopic fields may be defined fromthe QME. The average action is explicitly evaluated in terms of the saddlepoint approximation up to one-loop order. It is confirmed that the actionsatisfies the QME and the flow equation.Comment: Latex, 15 page

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