Some Remarks on BRS Transformations, Anomalies and the Cohomology of the Lie Algebra of the Group of Gauge Transformations - INSPIRE

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Some Remarks on BRS Transformations, Anomalies and the Cohomology of the Lie Algebra of the Group of Gauge Transformations

L. Bonora
(
- MIT, LNS
)
,
P. Cotta-Ramusino
(
- Harvard U.
)

Jan, 1982

25 pages

Published in:

Commun.Math.Phys. 87 (1983) 589

DOI:

10.1007/BF01208267

Report number:

HUTMP 81/B112

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Abstract: (Springer)

We show that ghosts in gauge theories can be interpreted as Maurer-Cartan forms in the infinite dimensional group ℊ of gauge transformations. We examine the cohomology of the Lie algebra of ℊ and identify the coboundary operator with the BRS operator. We describe the anomalous terms encountered in the renormalization of gauge theories (triangle anomalies) as elements of these cohomology groups.

GAUGE FIELD THEORY: GHOST
GAUGE FIELD THEORY: GEOMETRICAL
TRANSFORMATION: GAUGE
TRANSFORMATION: BECCHI-ROUET-STORA
ALGEBRA: LIE
CURRENT: AXIAL-VECTOR
CURRENT: ANOMALY
MATHEMATICAL METHODS: DIFFERENTIAL GEOMETRY

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Figures(0)

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