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Superfield Quantization in the Sp(2)-Covariant Formalism

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Abstract

We generalize the rules for the superfield Sp(2)-covariant quantization of arbitrary gauge theories to the case of gauge fixing by the generating equations for the gauge functional. We consider possible realizations of the extended antibrackets and show that only one of the realizations is consistent with the extended BRST symmetry transformations in the form of the supertranslations along the Grassmann coordinates of a superspace.

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REFERENCES

  1. C. Becchi, A. Rouet, and R. Stora, Phys. Lett. B, 25, 344 (1974); Commun. Math. Phys., 42, 127 (1975); I. V. Tyutin, “Gauge invariance in field theory and statistical physics in the operator formalism [in Russian],” Preprint No. 35, Fiz. Inst. Akad. Nauk SSSR (FIAN), Moscow (1975).

    Google Scholar 

  2. G. Curci and R. Ferrari, Phys. Lett. B, 63, 91 (1976); I. Ojima, Prog. Theor. Phys. Suppl., 64, 625 (1979).

    Google Scholar 

  3. I. A. Batalin, P. M. Lavrov, and I. V. Tyutin, J. Math. Phys., 31, 1487 (1990); 32, 532, 2513 (1991).

    Google Scholar 

  4. P. M. Lavrov, Theor. Math. Phys., 107, 602 (1996).

    Google Scholar 

  5. I. A. Batalin and R. Marnelius, Phys. Lett. B, 350, 44 (1995); Nucl. Phys. B, 465, 521 (1996); I. A. Batalin, R. Marnelius, and A. M. Semikhatov, Nucl. Phys. B, 446, 249 (1995).

    Google Scholar 

  6. B. Geyer, D. M. Gitman, and P. M. Lavrov, Theor. Math. Phys., 123, 813 (2000).

    Google Scholar 

  7. I. A. Batalin and G. A. Vilkovisky, Phys. Lett. B, 102, 27 (1981); Phys. Rev. D, 28, 2567 (1983).

    Google Scholar 

  8. R. E. Kallosh and I. V. T yutin, Sov. J. Nucl. Phys., 17, 98 (1973).

    Google Scholar 

  9. I. V. Tyutin, “Once again on the equivalence theorem,” hep-th/0001050 (2000).

  10. B. Geyer and D. MÜlsch, J. Math. Phys., 41, 7304( 2000).

    Google Scholar 

  11. B. Geyer, P. M. Lavrov, and D. MÜlsch, J. Math. Phys., 40, 674, 6189 (1999).

    Google Scholar 

  12. B. S. DeWitt, Dynamic Theory of Groups and Fields, Gordon and Breach, New York (1965); Phys. Rev., 162, No. 5, 1 (1967); “A gauge invariant effective action,” in: Quantum Gravity 2 (C. J. Isham, R. Penrose, and D. W. Sciama, eds.), Clarendon, Oxford (1981).

    Google Scholar 

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Authors and Affiliations

  1. Tomsk State Pedagogical University, Tomsk, Russia

    P. M. Lavrov & P. Yu. Moshin

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  1. P. M. Lavrov
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  2. P. Yu. Moshin
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Lavrov, P.M., Moshin, P.Y. Superfield Quantization in the Sp(2)-Covariant Formalism. Theoretical and Mathematical Physics 129, 1645–1654 (2001). https://doi.org/10.1023/A:1013059216783

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