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Quantum methods in field theories with singular higher derivative lagrangians

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Abstract

The path integral quantization for higher derivative Chern-Simons theories in (2+1) dimensions coupled to fermions is treated. The diagrammatic and the Feynman rules are constructed and the regularization and renormalization of this higher derivative model are analyzed in the framework of the perturbation theory. Finally, the unitarity problem related to the possible appearance of ghost states with negative norm is also discussed.

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References

  • Alvarez-Gaumé, L., Labastida, J. M. F., and Ramallo, A. V. (1990).Nuclear Physics B,334, 103.

    Google Scholar 

  • Appleby, D. B. (1982).Journal of Physics A: Mathematical and General,15, 1191.

    Google Scholar 

  • Avdeev, L., Grigoryev, G., and Kazakov, D. (1992).Nuclear Physics B,382, 561.

    Google Scholar 

  • Castellani, L. (1982).Annals of Physics,143, 357.

    Google Scholar 

  • Chon, Ch., Nair, P. V., and Polychronakos, A. P. (1993).Physics Letters B,304, 105.

    Google Scholar 

  • Costa, M. E. V., Girotti, H. O., and Simões, T. J. M. (1985).Physical Review D,32, 405.

    Google Scholar 

  • Deser, S., Jackiw, R., and Templeton, S. (1982a).Physical Review Letters,48, 975.

    Google Scholar 

  • Deser, S., Jackiw, S., and Templeton, S. (1982b).Annals of Physics,140, 372.

    Google Scholar 

  • Deser, S., Jackiw, R., and Templeton, S. (1988).Annals of Physics,195, 406.

    Google Scholar 

  • Dirac, P. A. M. (1964).Lectures on Quantum Mechanics, Yeshiva University Press, New York.

    Google Scholar 

  • Dobry, A., Greco, A., and Zandron, O. (1990)Physical Review B,43, 1084.

    Google Scholar 

  • Dunne, G. V., Jackiw, R., and Trugenberger, C. A. (1989). MIT preprint CTP 1711.

  • Ellis, R. (1975).Journal of Physics A: Mathematical and General,8, 496.

    Google Scholar 

  • Faddeev, L. D. (1970).Theoretical and Mathematical Physics,1, 1.

    Google Scholar 

  • Greco, A., and Zandron, O. (1991).Journal of Physics A: Mathematical and General,24, 4407.

    Google Scholar 

  • Greco, A., Repetto, C., Zandron, O. P., and Zandron, O. S. (1994).Journal of Physics A: Mathematical and General,27, 239.

    Google Scholar 

  • Hawking, S. W. (1987). InQuantum Field Theory and Quantum Statistics, Vol. 2, I. A. Batalin, C. J. Isham, and G. A. Vilkovisky, eds., Adam Hilger, Bristol.

    Google Scholar 

  • Hlousek, Z., and Spector, D. (1990).Nuclear Physics B,344, 763.

    Google Scholar 

  • Jackiw, R., and Templeton, S. (1981).Physical Review D,23, 2291.

    Google Scholar 

  • Jackiw, R., and Weinberg, E. J. (1990).Physical Review Letters,64, 2234.

    Google Scholar 

  • Kerstyen, P. H. M. (1988).Physics Letters,134A, 25.

    Google Scholar 

  • Kogan, I. I. (1991).Physics Letters B,262, 83.

    Google Scholar 

  • Leon, M. D., and Rodriguez, P. R. (1985).Generalized Classical Mechanics and Field Theory, North-Holland, Amsterdam.

    Google Scholar 

  • Li, Zi-ping. (1991).Journal of Physics A: Mathematical and General,24, 4261.

    Google Scholar 

  • Lin, Qiong-gui, and Ni, Guang-jiong. (1990).Classical and Quantum Gravity,7, 1261.

    Google Scholar 

  • Matsuyama, T. (1990a).Journal of Physics A: Mathematical and General,23, 5241.

    Google Scholar 

  • Matsuyama, T. (1990b).Progress of Theoretical Physics,84, 1220.

    Google Scholar 

  • Nesterenko, V. V. (1989).Journal of Physics A: Mathematical and General,22, 1673.

    Google Scholar 

  • Odintsov, S. (1992).Zeitschrift für Physik C,54, 527.

    Google Scholar 

  • Ostrogradski, M. (1850).Memoirs de l'Academie St. Petersbourg,1, 385.

    Google Scholar 

  • Plyushchay, M. S. (1992).International Journal of Modern Physics A,7, 7045.

    Google Scholar 

  • Senjanovic, P. (1976).Annals of Physics,100, 227.

    Google Scholar 

  • Sugano, R., and Kamo, H. (1982).Progress of Theoretical Physics,67, 1966.

    Google Scholar 

  • Sugano, R., and Kimura, T. (1983).Journal of Physics A: Mathematical and General,16, 4417.

    Google Scholar 

  • 'T Hooft, G., and Velman, M. (1973).Diagramar, CERN, Geneva.

    Google Scholar 

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Authors and Affiliations

  1. Facultad de Ciencias Exactas Ingeniería y Agrimensura de la UNR, 2000, Rosario, Argentina

    A. Foussats, E. Manavella, C. Repetto, O. P. Zandron & O. S. Zandron

  2. Consejo Nacional de Investigaciones Científicas y Técnicas-Argentina, Argentina

    A. Foussats, C. Repetto, O. P. Zandron & O. S. Zandron

  3. Facultad de Ciencias Exactas Ingeniería y Agrimensura de la UNR, Argentina

    E. Manavella

Authors
  1. A. Foussats
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  2. E. Manavella
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  3. C. Repetto
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  4. O. P. Zandron
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  5. O. S. Zandron
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Foussats, A., Manavella, E., Repetto, C. et al. Quantum methods in field theories with singular higher derivative lagrangians. Int J Theor Phys 34, 1–17 (1995). https://doi.org/10.1007/BF00670982

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  • DOI: https://doi.org/10.1007/BF00670982

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