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Hamiltonian path integral formalism with higher derivatives

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Zeitschrift für Physik C Particles and Fields

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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References

  1. See for example, B. Podolsky, P. Schwed: Rev. Mod. Phys. 20 (1948) 40, and references therein

    Google Scholar 

  2. See, for example, J. Wess, J. Bagger: Supersymmetry and supergravity, Princeton, New Jersey: Princeton University Press 1984, and references therein

    Google Scholar 

  3. J. Barcelos-Neto, N.R.F. Braga: Phys. Rev. D 39 (1989) 494

    Google Scholar 

  4. A.A. Polyakov: Nucl. Phys. B 268 (1986) 406

    Google Scholar 

  5. D. Gross, E. Witten: Nucl. Phys. B 277 (1986) 1; See also E. Bergshoeff, M. Rakowski, E. Sezgin: Phys. Lett. 185B (1987) 371

    Google Scholar 

  6. A.A. Slavnov: Theor. Math. Phys. 13 (1972) 174; 33 (1977) 210

    Google Scholar 

  7. J. Barcelos-Neto, N.R.F. Braga: Mod. Phys. Lett. A 4 (1989) 2195

    Google Scholar 

  8. 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

    Google Scholar 

  9. 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

    Google Scholar 

  10. J. Barcelos-Neto, N.R.F. Braga: Acta Phys. Polonica B 20 (1989) 205

    Google Scholar 

  11. 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

    Google Scholar 

  12. 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

    Google Scholar 

  13. See for example, L.D. Landau, E.M. Lifshitz: Mechanics Oxford: Pergamon 1960

    Google Scholar 

  14. L.D. Faddeev: Theor. Math. Phys. 1 (1970) 1

    Google Scholar 

  15. P. Senjanovic: Ann. Phys. (NY) 100 (1976) 227

    Google Scholar 

  16. For a recent review of this subject, see M. Henneaux: Phys. Rep. 126 (1985) 1

    Google Scholar 

  17. C. Becchi, A. Rouet, R. Stora: Ann. Phys. (NY) 98 (1976) 287; I.V. Tyutin, Lebedev preprint FIAN-39/1975, unpublished

    Google Scholar 

  18. 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

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