Covariant Quantization with Extended BRST Symmetry

Preprint English OPEN
Geyer, B.; Gitman, D. M.; Lavrov, P. M.;
  • Subject: High Energy Physics - Theory

A short rewiev of covariant quantization methods based on BRST-antiBRST symmetry is given. In particular problems of correct definition of Sp(2) symmetric quantization scheme known as triplectic quantization are considered.
  • References (14)
    14 references, page 1 of 2

    [1] J.C. Taylor, Gauge theories of weak interactions (Cambridge University Press, Cambridge, 1976); L.D. Faddeev and A.A. Slavnov, Gauge fields: Introduction to quantum theory (The Benjamin/Cummings Publishing Company, Inc., 1980); S. Weinberg, The quantum theory of fields, Vols. I, II (Cambridge University Press, Cambridge, 1996).

    [2] N.N. Bogoliubov and D.V. Shirkov, Introduction to the theory of quantum fields (Interscience, 1959); P.A.M. Dirac, Lectures on quantum mechanics (Belfer Graduate School of Science, Yeshiva University, 1964); D.M. Gitman and I.V. Tyutin, Quantization of fields with constraints, (SpringerVerlag, Berlin 1990); M. Henneaux and C. Teitelboim, Quantization of gauge systems (Princeton U.P., Prenceton, 1992).

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

    [4] P.M. Lavrov, Phys. Lett. B366 (1996) 160, P.M. Lavrov, P.Yu. Moshin and A.A. Reshetnyak, Mod. Phys. Lett. A10 (1995) 2687.

    [5] I. Batalin and R. Marnelius, Phys. Lett. B350 (1995) 44, I.A. Batalin, R. Marnelius and A.M. Semikhatov, Nucl.Phys. B446 (1995) 249, I. Batalin and R. Marnelius, Nucl. Phys. B465 (1996) 521.

    [6] B. Geyer, P.M. Lavrov and D. Mu¨lsch, J. Math. Phys. 40 (1999) 674, Osp(1,2) covariant Lagrangian quantization of reducible massive gauge theories, hep-th/9808117, to appear J. Math. Phys. (Dec. 1999)

    [8] C. Becchi, A. Rouet, and R. Stora, Phys. Lett. B25 (1974) 344; Comm. Math. Phys. 42 (1975) 127.

    [9] I.V. Tyutin, Gauge invariance in field theory and statistical physics in operator formalism, Preprint Lebedev Inst. No. 35 (1975).

    [10] G. Curci and R. Ferrari, Phys. Lett. B63 (1976) 91.

    [11] I. Ojima, Prog. Theor. Phys. Suppl. 64 (1979) 625.

  • Similar Research Results (4)
  • Metrics
Share - Bookmark