BRST-Invariant Algebra of Constraints in Terms of Commutators and Quantum Antibrackets
Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 1, pp. 3-22 Cet article a éte moissonné depuis la source Math-Net.Ru

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We establish the general structure of the BRST-invariant algebra of constraints in its commutator and antibracket forms via the formulation of algebra-generating equations in a supplementally extended phase space. New ghost-type variables behave as fields and antifields with respect to quantum antibrackets. The explicit form of the BRST-invariant gauge algebra is given in detail for rank-one theories with a Weyl and a Wick-ordered ghost sector. We construct a ixed-gauge unitarizing Hamiltonian and show that the formalism is physically equivalent to the standard BRST–BFV approach.
Keywords: BRST symmetry, algebra of constraints, quantum antibracket.
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I. A. Batalin; I. V. Tyutin. BRST-Invariant Algebra of Constraints in Terms of Commutators and Quantum Antibrackets. Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 1, pp. 3-22. http://geodesic.mathdoc.fr/item/TMF_2004_138_1_a0/

[1] C. Becchi, A. Rouet, R. Stora, Phys. Lett. B, 54 (1974), 344 ; Commun. Math. Phys., 42 (1975), 127 ; Ann. Phys., 98 (1976), 287 ; И. В. Тютин, Калибровочная инвариантность в теории поля и статистической физике в операторной формулировке, Препринт ФИАН No 39, ФИАН, М., 1975; E. S. Fradkin, G. A. Vilkovisky, Phys. Lett. B, 55 (1975), 224 ; Quantization of relativistic systems with constraints: equivalence of canonical and covariant formalisms in quantum theory of gravitational field, CERN preprint TH 2332-CERN, CERN, Geneva, 1977 | DOI | DOI | MR | DOI | MR | DOI | MR | Zbl | MR

[2] I. A. Batalin, G. A. Vilkovisky, Phys. Lett. B, 69 (1977), 309 ; E. S. Fradkin, T. E. Fradkina, Phys. Lett. B, 72 (1978), 343 | DOI | DOI

[3] I. A. Batalin, E. S. Fradkin, Phys. Lett. B, 128 (1983), 303 ; Riv. Nuovo Cimento, 9 (1986), 1 ; T. Kugo, I. Ojima, Progr. Theor. Phys. Suppl., 66 (1979), 1 ; K. Nishijima, Nucl. Phys. B, 238 (1984), 601 ; Progr. Theor. Phys., 80 (1988), 897 ; 905 ; M. Henneaux, Phys. Rep., 126 (1985), 1 ; M. Henneaux, C. Teitelboim, Quantization of Gauge Sistems, Princeton Univ. Press, Princeton, 1992 | DOI | MR | DOI | MR | DOI | MR | DOI | MR | DOI | MR | MR | DOI | MR | MR | Zbl

[4] M. B. Green, J. H. Shwarz, E. Witten, Superstring Theory, V. 1, Cambridge Univ. Press, Cambridge, 1987 | MR | Zbl

[5] I. A. Batalin, R. Marnelius, Phys. Lett. B, 441 (1998), 243 ; ; Nucl. Phys. B, 551 (1998), 450 ; ; Mod. Phys. Lett. A, 14 (1999), 1643 ; ; Int. J. Mod. Phys. A, 15 (2000), 2077 ; E-print hep-th/9806114E-print hep-th/9809208E-print hep-th/9905193E-print hep-th/9909223 | DOI | MR | MR | DOI | MR | MR | DOI | MR | DOI | MR | Zbl

[6] I. A. Batalin, R. Marnelius, Phys. Lett. B, 434 (1998), 312 ; E-print hep-th/9805084 | DOI | MR

[7] I. A. Batalin, R. Marnelius, TMF, 120 (1999), 358 ; ; I. A. Batalin, R. Marnelius, Int. J. Mod. Phys. A, 14 (1999), 5049 ; E-print hep-th/9905083E-print hep-th/9909210 | DOI | MR | Zbl | DOI | MR | Zbl

[8] A. S. Cattaneo, G. Felder, Commun. Math. Phys., 212 (2000), 591 ; ; Mod. Phys. Lett. A, 16 (2001), 179 ; ; I. A. Batalin, R. Marnelius, Phys. Lett. B, 512 (2001), 225 ; ; “Superfield algorithms for topological field theories”, Multiple Facets of Quantization and Supersymmetry, Memorial Volume Dedicated to M. Marinov, eds. M. Olshanetsky, A. Vainshtein, World Scientific, River Edge, 2002, 233 ; E-print math.QA/9902090E-print hep-th/0102208E-print hep-th/0105190E-print hep-th/0110140 | DOI | MR | Zbl | DOI | MR | DOI | Zbl | DOI | MR | Zbl

[9] I. A. Batalin, E. S. Fradkin, Ann. Inst. Henri Poincare, 49 (1988), 145 | MR