Regularized quantum master equation in the wilsonian | Zendy

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

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Regularized quantum master equation in the wilsonian

Author(s) -

Yuji Igarashi,

Katsumi Itoh,

Hiroto So

Publication year - 2001

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2001/10/032

Subject(s) - jacobian matrix and determinant , regularization (linguistics) , mathematical physics , quantum master equation , physics , action (physics) , effective action , master equation , renormalization , quantum , flow (mathematics) , quantum mechanics , mathematics , computer science , artificial intelligence , mechanics

Using the Pauli-Villars regularization, we make a perturbative analysis ofthe quantum master equation (QME), $\Sigma =0$, for the Wilsonian effectiveaction. It is found that the QME for the UV action determines whether exactgauge symmetry is realized along the renormalization group (RG) flow. The basictask of solving the QME can be reduced to compute the Troost-vanNiuwenhuizen-Van Proyen jacobian factor for the classical UV action. When theQME cannot be satisfied, the non-vanishing $\Sigma$ is proportional to a BRSanomaly, which is shown to be preserved along the RG flow. To see how the UVaction fulfills the QME in anomaly free theory, we calculate the jacobianfactor for a pure Yang-Mills theory in four dimensions.Comment: 18 page

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