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].
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References
M. Kalb and P. Ramond, Phys. Rev. D 9, 2273 (1974);
P. G. O. Freund and R. I. Nepomechie, Nucl. Phys. B 199, 482 (1982);
C. Teitelboim, Phys. Lett. 167B, 63, 69 (1986);
M. Henneaux and C. Teitelboim, Found. Phys. 16, 593 (1986).
W. Nahm, Nucl. Phys. B 135, 149 (1978);
M. B. Green and J. H. Schwarz, Phys. Lett. 109B, 444 (1982);
N. Marcus and J. H. Schwarz, Phys. Lett. 115B, 111 (1982).
M. Henneaux and C. Teitelboim, Dynamics of chiral (self-dual) p-forms, Phys. Lett. 206B, 650 (1988).
P. A. M. Dirac, Lectures on Quantum Mechanics, Academic Press, New York, 1964;
P. A. M. Dirac, J. Schwinger, Phys. Rev. 127, 324 (1962);
C. Teitelboim, Ann. Phys. (N. Y) 79, 542 (1973).
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.
P. A. M. Dirac, Can. J. Math. 2, 129 (1950).
W. Siegel, Nucl. Phys. B 238, 307 (1984).
D. J. Gross, J. A. Harvey, E. J. Martinec, and R. Rohm, Phys. Rev. Lett. 54, 502 (1985);
D. J. Gross, J. A. Harvey, E. J. Martinec, and R. Rohm, Nucl. Phys. B 256, 253 (1985).
L. Brink and M. Henneaux, Principles of String Theory, Chap. 5, Plenum Press, New York, 1988.
M. Henneaux, Phys. Rep. 126, 1 (1985).
I. A. Batalin and E. S. Fradkin, Phys. Lett. 122B, 157 (1983);
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).
R. Floreanini and R. Jackiw, Phys. Rev. Lett. 59, 1873 (1987).
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);
J. Labastida and M. Pernici, Nucl. Phys. B297, 557 (1988);
L. Mezincescu and R. I. Nepomechie, Phys. Rev. D 37, 3067 (1988).
C. A. P. Galväo and C. Teitelboim, J. Math. Phys. 21, 1863 (1980).
M. Henneaux and C. Teitelboim, Ann. Phys. (NY.) 143, 127 (1982).
J. H. Schwarz and P. C. West, Phys. Lett. 126B, 301 (1983);
J. H. Schwarz, Nucl. Phys. B 226, 269 (1983).
L. D. Faddeev and A. A. Slavnov, Gauge Fields: Introduction to Quantum Theory, Benjamin, Reading, 1980.
L. D. FaddeevPhys. Lett 145B, 81 (1984).
M. B. Green, J. H. Schwarz, and Edward Witten, Superstring Theory, Vol. 1, Cambridge University Press, Cambridge, 1987.
I. A. Batalin and E. S. Fradkin, Riv. Nuovo Cimento 9(10), 1–48 (1986).
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Henneaux, M., Teitelboim, C. (1989). Consistent Quantum Mechanics of Chiral p-Forms. In: Teitelboim, C., Zanelli, J. (eds) Quantum Mechanics of Fundamental Systems 2. Series of the Centro de Estudios Científicos de Santiago. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0797-6_8
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