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Sp(2)-covariant quantization of the Freedman-Townsend model

  • Physics Of Elementary Particles And Field Theory
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Abstract

A model antisymmetric rank two tensor field is quantized in both the Lagrangian and the Hamiltonian versions of the expanded BRST quantization. It is demonstrated that the Lagrangian quantization results in a unitary S-matrix.

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References

  1. I. A. Batalin and G. A. Vilkovisky, Phys. Rev.,D28, No. 10, 2567–2582 (1983).

    Google Scholar 

  2. I. A. Batalin, P. M. Lavrov, and I. V. Tyutin, J. Math. Phys.,31, No. 6, 1487–1493 (1990).

    Google Scholar 

  3. I. A. Batalin, P. M. Lavrov, and I. V. Tyutin, J. Math. Phys.,32, No. 2, 532–539 (1991).

    Google Scholar 

  4. T. Kugo and I. Ojima, Progr. Theor. Phys. Suppl.,66, No. 1, 1–130 (1979).

    Google Scholar 

  5. S. P. de Alwis, M. T. Grisaru, and L. Mezincescu, Nucl. Phys.,B303, No. 1, 57–76 (1986).

    Google Scholar 

  6. T. E. Clark, C. H. Lee, and S. T. Love, Nucl. Phys.,B308, No. 2, 379–396 (1988).

    Google Scholar 

  7. M. Blagojevic, B. Sazdovic, and M. Vasilic, Phys. Lett.,236B, No. 4, 424–428 (1989).

    Google Scholar 

  8. P. M. Lavrov and I. V. Tyutin, Teor. Mat. Fiz.,79, No. 3, 359–370 (1989).

    Google Scholar 

  9. P. M. Lavrov and I. V. Tyutin, Yad. Fiz.,50, No. 5, 1467–1475 (1989).

    Google Scholar 

  10. E. S. Fradkin and G. A. Vilkovisky, Phys. Lett.,55B, No. 2, 224–226 (1975).

    Google Scholar 

  11. I. A. Batalin and G. A. Vilkovisky, Phys. Lett.,69B, No. 3, 309–312 (1977).

    Google Scholar 

  12. E. S. Fradkin and T. E. Fradkina, Phys. Lett.,72B, No. 3, 343–348 (1978).

    Google Scholar 

  13. I. A. Batalin, P. M. Lavrov, and I. V. Tyutin, J. Math. Phys.,31, No. 1, 6–13 (1990).

    Google Scholar 

  14. I. A. Batalin, P. M. Lavrov, and I. V. Tyutin, J. Math. Phys.,31, No. 11, 2708–2717 (1991).

    Google Scholar 

  15. I. A. Batalin, P. M. Lavrov, and I. V. Tyutin, Int. J. Mod. Phys.,A6, No. 20, 3599–3612 (1991).

    Google Scholar 

  16. D. Z. Freedman and P. K. Townsend, Nucl. Phys.,B177, No. 2, 282–296 (1981).

    Google Scholar 

  17. E. Witten, Nucl. Phys.,B268, No. 2, 253–294 (1986).

    Google Scholar 

  18. B. de Witt, Dynamic Theory of Groups and Fields (Russian translation), Nauka, Moscow (1987).

    Google Scholar 

  19. P. Dirac, Lectures on Quantum Mechanics (Russian translation), Mir, Moscow (1968).

    Google Scholar 

  20. D. M. Gitman and I. V. Tyutin, Canonical Quantization of Fields with Constraints [in Russian], Nauka, Moscow (1986).

    Google Scholar 

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Additional information

Study supported in part by the Russian Fund for Fundamental Research, Project No. 94-02-03234, and by the International Science Fund, Grant RI 1000.

Tomsk Pedagogical Institute. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 72–78, February, 1995.

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Lavrov, P.M., Moshin, P.Y. Sp(2)-covariant quantization of the Freedman-Townsend model. Russ Phys J 38, 164–170 (1995). https://doi.org/10.1007/BF00560241

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  • DOI: https://doi.org/10.1007/BF00560241

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