The Two Quantum Symmetries Associated With a Classical Symmetry

Alvarez-Gaume, Luis; Baulieu, Laurent

doi:10.1016/0550-3213(83)90304-8

The Two Quantum Symmetries Associated With a Classical Symmetry

Luis Alvarez-Gaume
(
- Harvard U.
)
,
Laurent Baulieu
(
- Harvard U.
)

Dec, 1981

13 pages

Published in:

Nucl.Phys.B 212 (1983) 255-267

Published: 1983

DOI:

10.1016/0550-3213(83)90304-8

Report number:

HUTP-81/A058

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Abstract: (Elsevier)

Given a classical local symmetry, it is shown how to build two associated quantum symmetries s and s . These generalized BRS and anti-BRS symmetries interchange classical and ghost fields. A direct consequence of the closure and Jacobi identities of the classical algebra are the complete nilpotency relations s 2 = s s + s s = s 2 = 0 . This nilpotency allows one to derive very simply the correct quantum lagrangian from the classical one without recourse to the Faddeev-Popov construction. A simple formal proof is given, showing that s and s are preserved by renormalization.

GAUGE FIELD THEORY: YANG-MILLS
SYMMETRY: CLASSICAL
RENORMALIZATION
TRANSFORMATION: BECCHI-ROUET-STORA
GAUGE FIELD THEORY: GHOST
S-MATRIX

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Figures(0)

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