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Couplings of a collection of BF models to matter theories

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Abstract.

The couplings of a collection of BF models to matter theories are addressed in the framework of the antifield-BRST deformation procedure. The general theory is exemplified in the case where the matter fields are a set of Dirac spinors and respectively a collection of real scalar fields.

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References

  1. B. Voronov, I.V. Tyutin, Theor. Math. Phys. 50, 218 (1982); 52, 628 (1982); J. Gomis, S. Weinberg, Nucl. Phys. B 469, 473 (1996)

    Article  Google Scholar 

  2. S. Weinberg, The quantum theory of fields (Cambridge University Press, Cambridge 1996)

  3. O. Piguet, S.P. Sorella, Algebraic renormalization: Perturbative renormalization, symmetries and anomalies (Lecture Notes in Physics, Springer Verlag, Berlin, Vol. 28, 1995)

  4. P.S. Howe, V. Lindström, P. White, Phys. Lett. B 246, 430 (1990); W. Troost, P. van Nieuwenhuizen, A. van Proeyen, Nucl. Phys. B 333, 727 (1990); G. Barnich, M. Henneaux, Phys. Rev. Lett. 72, 1588 (1994); G. Barnich, Mod. Phys. Lett. A 9, 665 (1994); Phys. Lett. B 419, 211 (1998)

    CAS  Google Scholar 

  5. F. Brandt, M. Henneaux, A. Wilch, Phys. Lett. B 387, 320 (1996)

    CAS  Google Scholar 

  6. R. Arnowitt, S. Deser, Nucl. Phys. 49, 133 (1963); J. Fang, C. Fronsdal, J. Math. Phys. 20, 2264 (1979); F. A. Berends, G. H. Burgers, H. Van Dam, Z. Phys. C 24, 247 (1984); Nucl. Phys. B 260, 295 (1985); A.K.H. Bengtsson, Phys. Rev. D 32, 2031 (1985)

    Article  Google Scholar 

  7. G. Barnich, M. Henneaux, Phys. Lett. B 311, 123 (1993); M. Henneaux, Contemp. Math. 219, 93 (1998)

    CAS  Google Scholar 

  8. J D. Stasheff, preprint q-alg/9702012; preprint hep-th/9712157; J.A. Garcia, B. Knaepen, Phys. Lett. B 441, 198 (1998)

    Article  Google Scholar 

  9. D. Birmingham, M. Blau, M. Rakowski, G. Thompson, Phys. Rep. 209, 129 (1991)

    CAS  Google Scholar 

  10. N. Ikeda, Ann. Phys. 235, 435 (1994); T. Strobl, Phys. Rev. D 50, 7346 (1994); P. Schaller, T. Strobl, Mod. Phys. Lett. A 9, 3129 (1994); A.Yu. Alekseev, P. Schaller, T. Strobl, Phys. Rev. D 52, 7146 (1995); T. Klösch, T. Strobl, Class. Quantum Grav. 13, 965, 2395; (1996); 14, 1689 (1997); A.S. Cattaneo, G. Felder, Commun. Math. Phys. 212, 591 (2000); Mod. Phys. Lett. A 16, 179 (2001)

    CAS  Google Scholar 

  11. K.I. Izawa, Prog. Theor. Phys. 103, 225 (2000); N. Ikeda, JHEP 0011, 009 (2000); 0107, 037 (2001); 0210, 076 (2002); Int. J. Mod. Phys. A 18, 2689 (2003)

    MathSciNet  Google Scholar 

  12. C. Bizdadea, E.M. Cioroianu, S.O. Saliu, Int. J. Mod. Phys. A 17, 2191 (2002); C. Bizdadea, C.C. Ciobirca, E.M. Cioroianu, S.O. Saliu, S.C. Sararu, JHEP 0301, 049 (2003)

    Article  Google Scholar 

  13. C. Bizdadea, C.C. Ciobirca, E.M. Cioroianu, S.O. Saliu, S.C. Sararu, Annalen Phys. 12, 543 (2003)

    CAS  MathSciNet  Google Scholar 

  14. G. Barnich, F. Brandt, M. Henneaux, Commun. Math. Phys. 174, 93 (1995)

    Google Scholar 

  15. N. Boulanger, T. Damour, L. Gualtieri, M. Henneaux, Nucl. Phys. B 597, 127 (2001)

    Article  Google Scholar 

  16. X. Bekaert, N. Boulanger, M. Henneaux, Phys. Rev. D 67, 044010 (2003)

    Article  Google Scholar 

  17. C. Bizdadea, C.C. Ciobirca, E.M. Cioroianu, S.O. Saliu, S.C. Sararu, Int. J. Geom. Meth. Mod. Phys. 1, 335 (2004), special issue Advanced Geometric Techniques in Gauge Theory

    MathSciNet  Google Scholar 

  18. M. Dubois-Violette, M. Henneaux, M. Talon, C.M. Viallet, Phys. Lett. B 267, 81 (1991)

    Article  Google Scholar 

  19. G. Barnich, F. Brandt, M. Henneaux, Commun. Math. Phys. 174, 57 (1995); Phys. Rept. 338, 439 (2000)

    Google Scholar 

  20. M. Henneaux, Commun. Math. Phys. 140, 1 (1991)

    Google Scholar 

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Correspondence to C. Bizdadea.

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Received: 7 September 2004, Revised: 21 March 2005, Published online: 18 May 2005

PACS:

11.10.Ef

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Bizdadea, C., Cioroianu, E.M., Saliu, S.O. et al. Couplings of a collection of BF models to matter theories. Eur. Phys. J. C 41, 401–420 (2005). https://doi.org/10.1140/epjc/s2005-02224-y

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  • DOI: https://doi.org/10.1140/epjc/s2005-02224-y

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