Abstract
In the last few years, it has become increasingly clear that Becchi-Rouet-Stora-Tyutin methods [1,2] play a fundamental role in modern gauge field theory. These methods are not only useful in the path integral formalism, where the BRST generator is an essential building block of the effective action, but also they find important applications in the operator formulation of the theory. For instance, in string theory, one finds that nilpotency of the BRST quantum generator only holds in 26 space-time dimensions for the bosonic model [3] and in 10 space-time dimensions for the fermionic one [4]. This provides an alternative and very economical way for deriving the string critical dimensions.
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References
C. Becchi, A. Rouet, and R. Stora, Phys. Lett.52B, 344 (1974).
I. V. Tyutin, Gauge invariance in field theory and in statistical mechanics in the operator formalism, Lebedev preprint F1AN N°39 (1975), unpublished.
M. Kato and K. Ogawa, Nucl. Phys. B212, 443 (1983);
S. Hwang, Phys. Rev. D28, 2614 (1983).
J. H. Schwarz, Fadeev-Popov ghosts and B.R.S. symmetry in string theories, Caltech-preprint CALT-68–1304 (1985);
J. Fisch, Quantification BRS des modèles de cordes, Memoire de licence, Université Libre de Bruxelles, Academic Year 1985–1986. See also Ref. 24.
E. S. Fradkin and G. A. Vilkovisky, Phys. Lett. 55B, 224 (1975); CERN Report Th-2332 (1977).
I. A. Batalin and G. A. Vilkovisky, Phys. Lett.69B, 309 (1977).
E. S. Fradkin and T. E. Fradkina, Phys. Lett.72B, 343 (1978).
E. S. Fradkin and M. A. Vasiliev, Phys. Lett.72B, 40 (1977).
T. Kugo and I. Ojima, Phys. Lett.73B, 459 (1978);
T. Kugo and I. Ojima, Suppl. Prog. Theor. Phys.66, 1 (1979).
G. Curci and R. Ferrari, Nuovo Cimento35A, 273 (1976).
M. Henneaux, Phys. Rep.126, 1 (1985).
M. Henneaux, Forme hamiltonniene de l’intégrale de chemin pour les théories à invariance de jauge, Thèse d’Agrégation, Bruxelles (1984);
M. Henneaux, Phys. Rev. Lett.55, 769 (1985);
M. Henneaux, Bull. Cl. Sci. Acad. R. Belg. 5 e sér. LXXI, 198 (1985).
R. Marnelius, Phys. Lett.99B, 467 (1981);
R. Marnelius, Acta Phys. Polon. B13, 669 (1982).
P. A. M. Dirac, Lectures on Quantum Mechanics, Yeshiva University, Academic Press, New York, 1965;
A. J. Hanson, T. Regge, and C. Teitelboim, Constrained Hamiltonian Systems, Accad. Naz. dei Lincei, Rome, 1976.
M. Henneaux and C. Teitelboim, B.R.S. quantization of generalized magnetic poles, to appear in E. S. Fradkin Festschrift, Adam Hilger, Bristol.
I. A. Batalin and G. A. Vilkovisky, J. Math. Phys.26, 172 (1985).
I. A. Batalin and E. S. Fradkin, Phys. Lett.128B, 303 (1983).
M. Henneaux, Phys. Lett.120B, 179 (1983).
I. A. Batalin and E. S. Fradkin, J. Math. Phys.25, 2426 (1984).
J. A. Shouten and W. v.d. Kulk, Pfaff’s Problem and its Generalizations, Clarendon Press, Oxford, 1949, Chaps. VI and VII; see also
S. Shanmugadhasan, J. Math. Phys.14, 677 (1973).
B. L. Voronov and I. V. Tyutin, Theor. Math. Phys. USSR50, 218 (1982).
P. G. Bergmann, Rev. Mod. Phys.33, 510 (1961);
L. D. Fadeev, Theor. Math. Phys. I, 3 (1969).
M. Henneaux and C. Teitelboim, Ann. Phys. (N.Y.)143, 127 (1982).
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Henneaux, M. (1988). BRST Symmetry in the Classical and Quantum Theories of Gauge Systems. In: Teitelboim, C. (eds) Quantum Mechanics of Fundamental Systems 1. Series of the Centro de Estudios Científicos de Santiago. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-3728-5_10
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DOI: https://doi.org/10.1007/978-1-4899-3728-5_10
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