Three-dimensional Gross-Neveu model on curved spaces

Nuclear Physics B

Volumn 494, Issue 1-2, 1997, Pages 365-387

  Miele, Gennaro ^a   Vitale, Patrizia ^a  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031560842     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00155-7     Document Type: Article

References (33)

1. [1] D.J. Gross and A. Neveu, Phys. Rev. D 10 (1974) 3235.
2. [2] S. Guruswamy, S.G. Rajeev and P. Vitale, Nucl. Phys. B 438 (1995) 491.
3. [3] S. Guruswamy and P. Vitale, Mod. Phys. Lett. A 11 (1996) 1047.
4. [4] J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Oxford Univ. Press, Oxford, 1989).
5. [5] L. Jacobs, Phys. Rev. D 10 (1974) 3956.
6. [6] J.A. Gracey, Phys. Rev. D 50 (1994) 2840.
7. [7] J.A. Gracey, Int. J. Mod. Phys. A 9 (1994) 567.
8. [8] J.A. Gracey, J. Phys. A 23 (1990) L467.
9. [9] J. Zinn-Justin, Nucl. Phys. B 367 (1991) 105.
10. [10] N.A. Kivel, A.S. Stepanenko and A.N. Vasilev, Nucl. Phys. B 424 (1994) 619.
11. [11] K. G. Klimenko and IFVE Serpukov, Z. Phys. C 37 (1988) 457; ibid. C 54 (1992) 323.
12. [11] K. G. Klimenko and IFVE Serpukov, Z. Phys. C 37 (1988) 457; ibid. C 54 (1992) 323.
13. [12] K. G. Klimenko, Theor. Math. Phys. 89 (1992) 2737; K. G. Klimenko. V. V. Magnitskii and A. Vshivtseev, Theor. Math. Phys. 101 (1994) 1436; D. Gitman, S. D. Odintsov and Yu. Shilnov, Phys. Rev. D 54 (1996) 2968.
14. [12] K. G. Klimenko, Theor. Math. Phys. 89 (1992) 2737; K. G. Klimenko. V. V. Magnitskii and A. Vshivtseev, Theor. Math. Phys. 101 (1994) 1436; D. Gitman, S. D. Odintsov and Yu. Shilnov, Phys. Rev. D 54 (1996) 2968.
15. [12] K. G. Klimenko, Theor. Math. Phys. 89 (1992) 2737; K. G. Klimenko. V. V. Magnitskii and A. Vshivtseev, Theor. Math. Phys. 101 (1994) 1436; D. Gitman, S. D. Odintsov and Yu. Shilnov, Phys. Rev. D 54 (1996) 2968.
16. [13] I.V. Krive and S.A. Naftulin, Phys. Rev. D 46 (1992) 2737.
17. [14] B. Rosenstein. B.J. Warr and S.H. Park, Phys. Rev. Lett. 62 (1989) 1433.
18. [15] B. Rosenstein, B.J. Warr and S.H. Park, Phys. Rev. D 39 (1989) 3088.
19. [16] G. Gat, A. Kovner, B. Rosenstein and B.J. Warr, Phys. Lett. B 240 (1990) 158.
20. [17] I.L. Buchbinder and E.N. Kirillova, Int. J. Mod. Phys. A 4 (1989) 143.
21. [18] S. Kanemura and H. T. Sato, Mod. Phys. Lett. A 11 (1996) 2968; E. Elizalde, S. Leseduarte and S. D. Odintsov, Phys. Rev. D 49 (1994) 5551; E. Elizalde, S. Leseduarte, S. D. Odintsov and Yu. Shilnov, Phys. Rev. D 53 (1996) 1917.
22. [18] S. Kanemura and H. T. Sato, Mod. Phys. Lett. A 11 (1996) 2968; E. Elizalde, S. Leseduarte and S. D. Odintsov, Phys. Rev. D 49 (1994) 5551; E. Elizalde, S. Leseduarte, S. D. Odintsov and Yu. Shilnov, Phys. Rev. D 53 (1996) 1917.
23. [18] S. Kanemura and H. T. Sato, Mod. Phys. Lett. A 11 (1996) 2968; E. Elizalde, S. Leseduarte and S. D. Odintsov, Phys. Rev. D 49 (1994) 5551; E. Elizalde, S. Leseduarte, S. D. Odintsov and Yu. Shilnov, Phys. Rev. D 53 (1996) 1917.
24. [19] N.D. Birrell and P.C.W. Davies, Quantum fields in curved space (Cambridge Univ. Press, Cambridge, 1982).
25. [20] G. Parisi, Nucl. Phys. B 100 (1975) 368.
26. [21] D.J. Gross, in Methods in Field theory 1975, Les Houches Lectures, ed. R. Balian and J. Zinn-Justin (North-Holland, Amsterdam, 1976).
27. [22] T. Parker and S. Rosenberg, J. Diff. Geom. 25 (1987) 199.
28. [23] Whittaker and Watson, Modern Analysis (Cambridge, 1927).
29. [24] N.L. Balazs and A. Voros, Phys. Rep. 143 (1986) 109.
30. [25] E. D'Hoker and D.H. Phong, Comm. Math. Phys. 104 (1986) 537.
31. [26] S.M. Christensen, M.J. Duff, G.W. Gibbons and M. Rocek, One loop effects in supergravity with a cosmological constant, preprint, March 1981, unpublished.
32. [27] D. V. Fursaev and G. Miele, Nucl. Phys. B 484 (1997) 697.
33. 2(R) (Springer, Berlin, 1985).