A Note on the Antibracket Formalism

Witten, Edward

doi:10.1142/S0217732390000561

A Note on the Antibracket Formalism

Edward Witten
(
- Princeton, Inst. Advanced Study
)

Jan, 1990

9 pages

Published in:

Mod.Phys.Lett.A 5 (1990) 487

DOI:

10.1142/S0217732390000561

Report number:

IASSNS-HEP-90-9

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Abstract: (WSP)

Certain aspects of the antifield-antibracket formalism for quantization of gauge theories are clarified. In particular, we discuss the geometrical meaning of the antifields, the geometric meaning of the antibracket, and the geometric meaning of the operator Δ that appears in the quantum correction to the master equation. Finally, we point out that the antibracket formalism contains most of the ingredients that would be needed to formulate an abstract Chern-Simons Lagrangian, as in open string field theory.

gauge field theory: Yang-Mills
quantization: constraint
transformation: Becchi-Rouet-Stora
mathematical methods

References(24)

Figures(0)

Existence, Uniqueness and Cohomology of the Classical BRST Charge with Ghosts of Ghosts

J.M.L. Fisch
(
- Brussels U. and
- Texas U. and
- CECS, Valdivia and
- North Carolina U. and
- Princeton, Inst. Advanced Study
)
,
M. Henneaux
(
- Brussels U. and
- Texas U. and
- CECS, Valdivia and
- North Carolina U. and
- Princeton, Inst. Advanced Study
)
,
J. Stasheff
(
- Brussels U. and
- Texas U. and
- CECS, Valdivia and
- North Carolina U. and
- Princeton, Inst. Advanced Study
)
,
C. Teitelboim
(
- Brussels U. and
- Texas U. and
- CECS, Valdivia and
- North Carolina U. and
- Princeton, Inst. Advanced Study
)

- Commun.Math.Phys. 120 (1989) 379-407
•
DOI:
- 10.1007/BF01225504

- Bull.Am.Math.Soc. 19 287

The Abelian Higgs-Kibble Model. Unitarity of the S Operator

- Phys.Lett.B 52 (1974) 344-346
•
DOI:
- 10.1016/0370-2693(74)90058-6

Conformal invariance, supersymmetry and string theory

Daniel Friedan
(
- Chicago U., EFI and
- Chicago U. and
- Princeton U.
)
,
Emil J. Martinec
(
- Chicago U., EFI and
- Chicago U. and
- Princeton U.
)
,
Stephen H. Shenker
(
- Chicago U., EFI and
- Chicago U. and
- Princeton U.
)

- Nucl.Phys.B 271 (1986) 93-165,
- Nucl.Phys.B 271 (1986) 93-165
•
DOI:
- 10.1016/S0550-3213(86)80006-2

Covariantly Second Quantized String. 2.

W. Siegel
(
- UC, Berkeley
)

- Phys.Lett.B 149 (1984) 157,
- Phys.Lett.B 151 (1985) 391-395
•
DOI:
- 10.1016/0370-2693(85)91661-2

Covariantly second-quantized string III

W. Siegel
(
- UC, Berkeley
)

- Phys.Lett.B 149 (1984) 162-166,
- Phys.Lett.B 151 (1985) 396-400
•
DOI:
- 10.1016/0370-2693(84)91575-2

Topological Quantum Field Theory

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- Commun.Math.Phys. 117 (1988) 353
•
DOI:
- 10.1007/BF01223371

Gauge Algebra and Quantization

- Phys.Lett.B 102 (1981) 27-31,
- In *Moscow 1981, Proceedings, Quantum Gravity*, 463-480
•
DOI:
- 10.1016/0370-2693(81)90205-7

FEYNMAN RULES FOR REDUCIBLE GAUGE THEORIES

- Phys.Lett.B 120 (1983) 166-170
•
DOI:
- 10.1016/0370-2693(83)90645-7

Quantization of Gauge Theories with Linearly Dependent Generators

- Phys.Rev.D 28 (1983) 2567-2582,
- Phys.Rev.D 30 (1984) 508 (erratum)
•
DOI:
- 10.1103/PhysRevD.28.2567

Existence Theorem for Gauge Algebra

- J.Math.Phys. 26 (1985) 172-184,
- J. Math. Phys. 26 ( 1985) 172-184
•
DOI:
- 10.1063/1.526780

Modified Feynman Rules in Supergravity

R.E. Kallosh
(
- Lebedev Inst.
)

- Nucl.Phys.B 141 (1978) 141-152,
- Nucl.Phys.B141 (1978) 141-152 and Moscow Lebedev Phys Inst A N - 25 (78,REC.MAY) 24p
•
DOI:
- 10.1016/0550-3213(78)90340-1