Quantum Mechanics of Fundamental Systems 2 pp 79-112 | Cite as
Consistent Quantum Mechanics of Chiral p-Forms
Chapter
Abstract
p-form gauge potentials naturally arise in theories of fundamental extended objects. A p-form potential bears to a (p − 1)-dimensional object the same relation that the ordinary electromagnetic potential bears to a charged particle. It couples to the tangent of the object’s history [1].
Keywords
Poisson Bracket Gauge Invariance Surface Term Gravitational Anomaly Dirac Bracket
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References
- 1.M. Kalb and P. Ramond, Phys. Rev. D 9, 2273 (1974);ADSCrossRefGoogle Scholar
- P. G. O. Freund and R. I. Nepomechie, Nucl. Phys. B 199, 482 (1982);ADSCrossRefGoogle Scholar
- C. Teitelboim, Phys. Lett. 167B, 63, 69 (1986);MathSciNetADSGoogle Scholar
- M. Henneaux and C. Teitelboim, Found. Phys. 16, 593 (1986).MathSciNetADSCrossRefGoogle Scholar
- 2.W. Nahm, Nucl. Phys. B 135, 149 (1978);ADSCrossRefGoogle Scholar
- M. B. Green and J. H. Schwarz, Phys. Lett. 109B, 444 (1982);ADSGoogle Scholar
- N. Marcus and J. H. Schwarz, Phys. Lett. 115B, 111 (1982).MathSciNetADSGoogle Scholar
- 3.M. Henneaux and C. Teitelboim, Dynamics of chiral (self-dual) p-forms, Phys. Lett. 206B, 650 (1988).ADSGoogle Scholar
- 4.P. A. M. Dirac, Lectures on Quantum Mechanics, Academic Press, New York, 1964;Google Scholar
- P. A. M. Dirac, J. Schwinger, Phys. Rev. 127, 324 (1962);MathSciNetCrossRefGoogle Scholar
- C. Teitelboim, Ann. Phys. (N. Y) 79, 542 (1973).ADSCrossRefGoogle Scholar
- 5.C. Teitelboim, The Hamiltonian structure of space-time, in General Relativity and Gravitation: One Hundred Years After the Birth of Albert Einstein (A. Held, ed.), Plenum Press, New York, 1980.Google Scholar
- 6.P. A. M. Dirac, Can. J. Math. 2, 129 (1950).MathSciNetMATHCrossRefGoogle Scholar
- 7.W. Siegel, Nucl. Phys. B 238, 307 (1984).ADSCrossRefGoogle Scholar
- 8.D. J. Gross, J. A. Harvey, E. J. Martinec, and R. Rohm, Phys. Rev. Lett. 54, 502 (1985);MathSciNetADSCrossRefGoogle Scholar
- D. J. Gross, J. A. Harvey, E. J. Martinec, and R. Rohm, Nucl. Phys. B 256, 253 (1985).MathSciNetADSCrossRefGoogle Scholar
- 9.L. Brink and M. Henneaux, Principles of String Theory, Chap. 5, Plenum Press, New York, 1988.Google Scholar
- 10.M. Henneaux, Phys. Rep. 126, 1 (1985).MathSciNetADSCrossRefGoogle Scholar
- 11.I. A. Batalin and E. S. Fradkin, Phys. Lett. 122B, 157 (1983);MathSciNetADSGoogle Scholar
- J. Fisch, M. Henneaux, J. Stasheff, and C. Teitelboim, Existence, uniqueness and cohomology of the classical BRST charge with ghosts of ghosts, Commun. Math. Phys. 120, 379 (1989).MathSciNetADSMATHCrossRefGoogle Scholar
- 12.R. Floreanini and R. Jackiw, Phys. Rev. Lett. 59, 1873 (1987).ADSCrossRefGoogle Scholar
- 13.M. Bernstein and J. Sonnenschein, Phys. Rev. Lett. 69, 1772 (1988). Treatments of the action proposed in Ref. 7 which do not use the Dirac method lead to inconsistent quantization. See C. Imbimbo and A. Schwimmer, Phys. Lett. 193B, 455 (1987);ADSCrossRefGoogle Scholar
- J. Labastida and M. Pernici, Nucl. Phys. B297, 557 (1988);ADSCrossRefGoogle Scholar
- L. Mezincescu and R. I. Nepomechie, Phys. Rev. D 37, 3067 (1988).ADSCrossRefGoogle Scholar
- 14.C. A. P. Galväo and C. Teitelboim, J. Math. Phys. 21, 1863 (1980).MathSciNetADSCrossRefGoogle Scholar
- 15.M. Henneaux and C. Teitelboim, Ann. Phys. (NY.) 143, 127 (1982).MathSciNetADSCrossRefGoogle Scholar
- 16.J. H. Schwarz and P. C. West, Phys. Lett. 126B, 301 (1983);MathSciNetADSGoogle Scholar
- J. H. Schwarz, Nucl. Phys. B 226, 269 (1983).ADSCrossRefGoogle Scholar
- 17.L. D. Faddeev and A. A. Slavnov, Gauge Fields: Introduction to Quantum Theory, Benjamin, Reading, 1980.MATHGoogle Scholar
- 18.L. D. FaddeevPhys. Lett 145B, 81 (1984).MathSciNetADSGoogle Scholar
- 19.M. B. Green, J. H. Schwarz, and Edward Witten, Superstring Theory, Vol. 1, Cambridge University Press, Cambridge, 1987.MATHGoogle Scholar
- 20.I. A. Batalin and E. S. Fradkin, Riv. Nuovo Cimento 9(10), 1–48 (1986).MathSciNetCrossRefGoogle Scholar
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© Plenum Press, New York 1989