Details
| Original language | English |
|---|---|
| Pages (from-to) | 382-385 |
| Number of pages | 4 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 725 |
| Issue number | 4-5 |
| Publication status | Published - 1 Oct 2013 |
Abstract
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 Rξ gauges.
Keywords
- Field-dependent BRST transformation, Gauge-fixing procedure, Yang-Mills theory
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 725, No. 4-5, 01.10.2013, p. 382-385.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Field-dependent BRST transformations in Yang-Mills theory
AU - Lavrov, Peter M.
AU - Lechtenfeld, Olaf
N1 - Funding Information: The authors thank I.V. Tyutin for useful discussions of this Letter. This work was supported by the DFG grant LE 838/12-1 . The work of PML is also supported by the LRSS grant 224.2012.2 , by the Ministry of Education and Science of Russian Federation , project 14.B37.21.0774, by the RFBR grant 12-02-00121 and the RFBR-Ukraine grant 13-02-90430 . He is grateful to the Institute of Theoretical Physics at Leibniz University for hospitality. Copyright: Copyright 2013 Elsevier B.V., All rights reserved.
PY - 2013/10/1
Y1 - 2013/10/1
N2 - 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 Rξ gauges.
AB - 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 Rξ gauges.
KW - Field-dependent BRST transformation
KW - Gauge-fixing procedure
KW - Yang-Mills theory
UR - http://www.scopus.com/inward/record.url?scp=84883053651&partnerID=8YFLogxK
U2 - 10.1016/j.physletb.2013.07.023
DO - 10.1016/j.physletb.2013.07.023
M3 - Article
AN - SCOPUS:84883053651
VL - 725
SP - 382
EP - 385
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 4-5
ER -