HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 95 (1996) > Number 1
| Next Article >

Prog. Theor. Phys. Vol. 95 No. 1 (1996) pp. 203-225

[ Full Text PDF : FREE ACCESS (874K) ]

Bosonization of Thirring Model in Arbitary Dimension

Kenji Ikegami, Kei-ichi Kondo and Atsushi Nakamura

Department of Physics, Chiba University, Chiba 263

(Received September 8, 1995)

Abstract:

We propose to use a novel master Lagrangian for performing the bosonization of the D-dimensional massive Thirring model in D = d + 1 ≥2 dimensions. It is shown that our master Lagrangian is able to relate the previous interpolating Lagrangians each other which have been recently used to show the equivalence of the massive Thirring model in (2 + 1) dimensions with the Maxwell-Chern-Simons theory. Starting from the phase-space path integral representation of the master Lagrangian, we give an alternative proof for this equivalence up to the next-to-leading order in the expansion of the inverse fermion mass. Moreover, in (3 + 1)-dimensional case, the bosonized theory is shown to be equivalent to the massive antisymemtric tensor gauge theory. As a byproduct, we reproduce the well-known result on bosonization of the (1 + 1)-dimensional Thirring model following the same strategy. Finally a possibility of extending our strategy to the non-Abelian case is also discussed.


URL : http://ptp.ipap.jp/link?PTP/95/203/
DOI : 10.1143/PTP.95.203

[ Full Text PDF : FREE ACCESS (874K) ] Citation:

References:

  1. W. Thirring, Ann. of Phys. 3 (1958), 91[CrossRef].
  2. T. Itoh, Y. Kim, M. Sugiura and K. Yamawaki, Prog. Theor. Phys. 93 (1995), 417[PTP].
  3. K.-I. Kondo, Nucl. Phys. B450 (1995), 251.
  4. K.-I. Kondo, Prog. Theor. Phys. 94 (1995), 899[PTP].
  5. For a review, E. Abdalla and M. C. B. Abdalla, hep-th/9503002[e-print arXiv].
  6. C. P. Burgess and F. Quevedo, Nucl. Phys. B421 (1994), 373.
  7. S. Deser and A. N. Redlich, Phys. Rev. Lett. 61 (1988), 1541[APS].
  8. C. P. Burgess, C. A. Lütken and F. Quevedo, Phys. Lett. B336 (1994), 18.
  9. E. Fradkin and F. A. Schaposnik, Phys. Lett. B338 (1994), 253.
  10. I. A. Batalin and E. S. Fradkin, Phys. Lett. B180 (1986), 157; Nucl. Phys. B279 (1987), 514.
  11. I. A. Batalin and E. S. Fradkin, Riv. Nuovo Cim. 9 (1986), 1.
    M. Henneaux, Phys. Rep. 126 (1985), 1[CrossRef].
  12. R. Banerjee, HD-THEP-95-1 (hep-th/9504130[e-print arXiv]).
  13. P. K. Townsend, K. Pilch and P. van Nieuwenhuizen, Phys. Lett. B136 (1984), 38.
  14. S. Deser and R. Jackiw, Phys. Lett. B139 (1984), 371.
  15. P. K. Townsend, Phys. Lett. B88 (1979), 97.
  16. D. Z. Freedman and P. K. Townsend, Nucl. Phys. B177 (1981), 282.
  17. J. Thierry-Mieg, Nucl. Phys. B335 (1990), 334.
  18. L. D. Faddeev, Theoret, i Mat. Piz. 1 (1969), 3.
    P. Senjanovich, Ann. of Phys. 100 (1976), 1295.
    T. Maskawa and H. Nakajima, Prog. Theor. Phys. 56 (1976), 1295[PTP].
  19. G. L. Demarco, C. Fosco and R. C. Trinchero, Phys. Rev. D45 (1992), 3701[APS].
  20. C. D. Fosco and R. C. Trinchero, Phys. Lett. B322 (1994), 97.
  21. C. D. Fosco and T. Matsuyama, Prog. Theor. Phys. 93 (1995), 441[PTP].
  22. R. Banerjee, H. J. Rothe and K. D. Rothe, HD-THEP-95-13 (hep-th/9504067[e-print arXiv]).
  23. For a review, R. Savit, Rev. Mod. Phys. 52 (1980), 453[APS].
    Y. Kim and K. Lee, Phys. Rev. D49 (1994), 2041[APS].
  24. H. Hata, T. Kugo and N. Ohta, Nucl. Phys. B178 (1981), 527.
    S. P. De Alwis, M. T. Grisaru and L. Mezincescu, Nucl. Phys. B303 (1988), 57.
  25. J. L. Cortés, E. Rivas and L. Velázquez, Preprint DFTUZ/95-10 (hep-th/9503194[e-print arXiv]).
  26. R. Banerjee and H. J. Rothe, Nucl. Phys. B447 (1995), 183.
  27. K.-I. Kondo, S. Shuto and K. Yamawaki, Mod. Phys. Lett. A6 (1991), 3385.
    K.-I. Kondo, M. Tanabashi and K. Yamawaki, Prog. Theor. Phys. 89 (1993), 1249[PTP].
    K.-I. Kondo, A. Shibata, M. Tanabashi and K. Yamawaki, Prog. Theor. Phys. 91 (1994), 541[PTP].
  28. M. Harada, Y. Kikukawa, T. Kugo and H. Nakano, Prog. Theor. Phys. 92 (1994), 1161[PTP].
  29. T. Fukuda, M. Monda, M. Takeda and K. Yokoyama, Prog. Theor. Phys. 66 (1981), 1827[PTP]; 67 (1982), 1206; 70 (1983), 284.
  30. N. Bralic, E. Fradkin, V. Manias and F. A. Schaposnik, Nucl. Phys. B446 (1995), 144.
  31. A. Karlhede, U. Lindström, M. Rocek and P. van Nieuwenheizen, Phys. Lett. B186 (1987), 96.
  32. C. P. Burgess and F. Quevedo, Phys. Lett. B329 (1994), 457.
  33. K. Ikegami, K.-I. Kondo and A. Nakamura, in preparation.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 98 No. 1 (1997) pp. 211-270 :
    The Gauged Thirring Model in 3+1 Dimensions
    Kei-Ichi Kondo

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.