Abstract
We study the Hamiltonian path integral formalism for systems containing higher derivatives. First we show the consistency of the formalism in applications involving only scalar fields. Later we use the Maxwell electromagnetic theory with a higher order regularization term to show that the Batalin-Fradkin-Vilkovisky (BFV) theory can also be consistently described.
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See for example, B. Podolsky, P. Schwed: Rev. Mod. Phys. 20 (1948) 40, and references therein
See, for example, J. Wess, J. Bagger: Supersymmetry and supergravity, Princeton, New Jersey: Princeton University Press 1984, and references therein
J. Barcelos-Neto, N.R.F. Braga: Phys. Rev. D 39 (1989) 494
A.A. Polyakov: Nucl. Phys. B 268 (1986) 406
D. Gross, E. Witten: Nucl. Phys. B 277 (1986) 1; See also E. Bergshoeff, M. Rakowski, E. Sezgin: Phys. Lett. 185B (1987) 371
A.A. Slavnov: Theor. Math. Phys. 13 (1972) 174; 33 (1977) 210
J. Barcelos-Neto, N.R.F. Braga: Mod. Phys. Lett. A 4 (1989) 2195
See, for example, S.W. Hawking: Who's affraid of (higher derivative) ghosts?, in Quantum field theory and quantum statistics, I.A. Batalin, C.J. Isham, G.A. Vilkovisky (eds), Bristol: Adam Hilger 1987, and references therein
V.V. Nesterenko: J. Phys. A 22 (1989) 1673; C. Batlle, J. Gomis, J.M. Pons, N. Román-Roy: J. Phys. A21 (1988) 2693; Carlos A.P. Galvão, N.A. Lemos: J. Math. Phys. 29 (1988) 1588; V. Tapia, Nuovo Cimento 101B (1988) 183; C.G. Bollini, J.J. Giambiagi: Rev. Bras. Física 17 (1987) 14 and Phys. Rev. D39 (1989) 1169; D. Musicki: J. Phys. A11 (1978) 39
J. Barcelos-Neto, N.R.F. Braga: Acta Phys. Polonica B 20 (1989) 205
P.A.M. Dirac: Can. J. Math. 2 (1950) 129; Lectures on quantum mechanics, New York: Belfer Graduate School of Science, Yeshiva University 1964. For a general review, see A. Hanson, T. Regge, C. Teitelboim: Constrained Hamiltonian systems Rome: Academic Nazionale dei Lincei 1976
G. A. Vilkoviski: Phys. Lett. 55B (1975) 224; I.A. Batalin, G. Vilkovisky: Phys. Lett. 69B (1977) 309; E.S. Fradkin. T.E. Fradkina: Phys. Lett. 72B (1978) 343
See for example, L.D. Landau, E.M. Lifshitz: Mechanics Oxford: Pergamon 1960
L.D. Faddeev: Theor. Math. Phys. 1 (1970) 1
P. Senjanovic: Ann. Phys. (NY) 100 (1976) 227
For a recent review of this subject, see M. Henneaux: Phys. Rep. 126 (1985) 1
C. Becchi, A. Rouet, R. Stora: Ann. Phys. (NY) 98 (1976) 287; I.V. Tyutin, Lebedev preprint FIAN-39/1975, unpublished
J. Barcelos-Neto, Carlos A.P. Galvão, P. Gaete: The Fock-Schwinger gauge in the BFV formalism, Preprint IF/UFRJ-15/90
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Barcelos-Neto, J., Natividade, C.P. Hamiltonian path integral formalism with higher derivatives. Z. Phys. C - Particles and Fields 51, 313–319 (1991). https://doi.org/10.1007/BF01475798
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DOI: https://doi.org/10.1007/BF01475798