4.7 Article

Field-dependent BRST transformations in Yang-Mills theory

Journal

PHYSICS LETTERS B
Volume 725, Issue 4-5, Pages 382-385

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.physletb.2013.07.023

Keywords

Yang-Mills theory; Field-dependent BRST transformation; Gauge-fixing procedure

Funding

  1. DFG [LE 838/12-1]
  2. LRSS [224.2012.2]
  3. Ministry of Education and Science of Russian Federation [14.B37.21.0774]
  4. RFBR [12-02-00121]
  5. RFBR-Ukraine [13-02-90430]

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We find an explicit form for the Jacobian of arbitrary field-dependent BRST transformations in Yang-Mills theory. For the functional-integral representation of the (gauge-fixed) Yang-Mills vacuum functional, such transformations merely amount to a precise change in the gauge-fixing functional. This proves the independence of the vacuum functional under any field-dependent BRST transformation. We also give a formula for the transformation parameter functional which generates a prescribed change of gauge and evaluate it for connecting two arbitrary R-xi gauges. (C) 2013 Elsevier B.V. All rights reserved.

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