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Generalized Canonical Ward Identities

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Abstract

In the framework of Faddeev-Senjanovic (FS) path-integral quantization, CP 1 nonlinear σ model coupled to Non-Abelian Chern-Simons (CS) fields is quantized. Generalized canonical Ward identities (WI) are deduced from the invariance of the canonical effective action under gauge transformations, which are obtained from the generators of gauge transformations, including all first-class constraints, in Dirac’s sense. The generalized canonical WI has brief form and is equivalent to canonical WI under gauge transformations in Dirac’s sense.

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References

  1. Laidlaw, M.G.G., De Witt, C.M.: Phys. Rev. D 3, 1375 (1971)

    Article  ADS  Google Scholar 

  2. Wu, Y.S.: Phys. Rev. Lett. 52, 1375 (1984)

    ADS  Google Scholar 

  3. Lee, T., Chekuri, N.R., Viswanathan, K.S.: Phys. Rev. D 39, 2350 (1989)

    Article  ADS  MathSciNet  Google Scholar 

  4. Matute, E.A.: Phys. Lett. B 538, 66 (2002)

    Article  ADS  Google Scholar 

  5. Giachetta, G., Mangiarotti, L.: Mod. Phys. Lett. A 18, 2645 (2003)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. Yurkevich, I.V., Lerner, I.V.: Phys. Rev. B 63, 064522 (2001)

    Article  ADS  Google Scholar 

  7. Lerner, I.V.: cond-mat/0307471

  8. Wilczek, F.: Fractional Statistics and Anyon Superconductivity. World Scientific, Singapore (1990)

    Google Scholar 

  9. Lerda, A.: Anyons. Springer, Berlin (1992)

    MATH  Google Scholar 

  10. Wang, Y.L., Li, Z.P.: Int. J. Theor. Phys. 43(4), 1003 (2004)

    Article  MATH  Google Scholar 

  11. Wang, Y.L., Li, Z.P.: High Energy Phys. Nucl. Phys. 28(7), 696 (2004) (in Chinese)

    Google Scholar 

  12. Zhang, Y., Li, Z.P.: Int. J. Theor. Phys. 43(4), 1129 (2004)

    Article  MATH  Google Scholar 

  13. Zhang, Y., Li, A.M., Li, Z.P.: Acta Phys. Sin. 54(1), 43 (2005) (in Chinese)

    Google Scholar 

  14. Wang, Y.L.: Mod. Phys. Lett. B 22(1), 45 (2008)

    Article  MATH  ADS  Google Scholar 

  15. Ward, J.C.: Phys. Rev. 77, 293 (1950)

    Article  MATH  ADS  Google Scholar 

  16. Takahashi, Y.: Nuovo Cim. 6, 371 (1957)

    Article  MATH  Google Scholar 

  17. Slavnov, A.A.: Theor. Math. Phys. 10, 99 (1972)

    Article  Google Scholar 

  18. Taylor, J.C.: Nucl. Phys. B 33, 436 (1971)

    Article  ADS  Google Scholar 

  19. Li, Z.P.: High Energy Phys. Nucl. Phys. 18, 265 (1994)

    Google Scholar 

  20. Li, Z.P.: Europhys. Lett. 34, 523 (1996)

    Google Scholar 

  21. Li, Z.P., Jun, B.: Int. J. Theor. Phys. 38, 1677 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  22. Joglekar, S.D.: Phys. Rev. D 44, 3879 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  23. Danilov, G.S.: Phys. Lett. B 257, 285 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  24. Dirac, P.A.M.: Can. J. Math. 2, 129 (1950)

    MATH  MathSciNet  Google Scholar 

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

    Google Scholar 

  26. Costa, M.E.V., Girotti, H.O., Simões, J.J.M.: Phys. Rev. D 32, 405 (1985)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  28. Faddeev, L.D., Slavnov, A.A.: Gauge Fields. Benjamin/Cummings, Reading (1980)

    MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  30. Dowker, J.S.: J. Phys. A 5, 936 (1972)

    Article  ADS  MathSciNet  Google Scholar 

  31. Panigrahi, P.K., Roy, S., Scherer, W.: Phys. Rev. Lett. 61, 2827 (1988)

    Article  ADS  Google Scholar 

  32. Li, Z.P.: Chin. Sci. Bull. 44, 207 (1999)

    Article  MATH  ADS  Google Scholar 

  33. Sundermyer, K.: Lecture Notes in Physics No. 169. Springer, Berlin (1982)

    Google Scholar 

  34. Li, Z.L.: High Energy Phys. Nucl. Phys. 20, 698 (1996) (in Chinese)

    Google Scholar 

  35. Li, Z.P., Yang, C.: J. Phys. A 28, 5931 (1995)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  36. Li, Z.P.: Acta Phys. Sin. Overseas Ed. 3, 481 (1994)

    Article  Google Scholar 

  37. Li, Z.P., Jun, B.: Int. J. Theor. Phys. 38, 1677 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  38. Kuang, Y.P., Yi, Y.P.: Phys. Ener. Fort. Phys. Nucl. 4, 286 (1980)

    Google Scholar 

  39. Fradkin, E.S., Palchik, M.Ya.: Phys. Lett. B 147, 84 (1984)

    ADS  MathSciNet  Google Scholar 

  40. Palchik, M.Ya.: Yad. Fiz. 42, 522 (1985)

    MathSciNet  Google Scholar 

  41. Li, Z.P.: Int. J. Theor. Phys. 34, 1945 (1995)

    Article  MATH  Google Scholar 

  42. Li, Z.P.: Z. Phys. C 76, 181 (1997)

    Article  MathSciNet  Google Scholar 

  43. Li, Z.P., Jiang, J.H.: Symmetries in Constrained Canonical System, pp. 128–130. Science Press, Beijing (2002)

    Google Scholar 

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Authors and Affiliations

  1. Institute of Condensed Matter of Physics, Linyi Normal University, Linyi, 276005, China

    Yong-Long Wang

  2. Department of Physics, Linyi Normal University, Linyi, 276005, China

    Yong-Long Wang

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  1. Yong-Long Wang
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Correspondence to Yong-Long Wang.

Additional information

This project is supported by Foundation of National Natural Science (10671086), Foundation of Shandong Natural Science (Y2007A01) and National Laboratory for Superlattices and Microstructures (CHJG200605).

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Wang, YL. Generalized Canonical Ward Identities. Int J Theor Phys 48, 1422–1430 (2009). https://doi.org/10.1007/s10773-008-9912-x

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  • DOI: https://doi.org/10.1007/s10773-008-9912-x

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