Papers

Peer-reviewed
Nov, 2000

Exact BRS Symmetry Realized along the Renormalization Group Flow

Progress of theoretical physics = Progress of theoretical physics
  • Yuji IGARASHI
  • ,
  • Katsumi ITOH
  • ,
  • Hiroto SO
  • ,
  • Faculty of
  • ,
  • Education
  • ,
  • Niigata University
  • ,
  • Faculty of Education
  • ,
  • Niigata University
  • ,
  • Department of Physics Niigata University

Volume
104
Number
5
First page
1053
Last page
1066
Language
English
Publishing type
DOI
10.1143/PTP.104.1053
Publisher
Published for the Research Institute for Fundamental Physics by Physical Society of Japan

Using the average action, defined with a continuum analog of the block spin transformation, we demonstrate the presence of a gauge wymmetry along the Wilsonian renormalization group flow. As a reflection of this gauge symmetry, the average action satisfies the quantum master equation(QME). We show that the quantum part of the master equation can be 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.

Link information
DOI
https://doi.org/10.1143/PTP.104.1053
CiNii Articles
http://ci.nii.ac.jp/naid/110001196735
ID information
  • DOI : 10.1143/PTP.104.1053
  • ISSN : 0033-068x
  • CiNii Articles ID : 110001196735
  • identifiers.cinii_nr_id : 1000015540262

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