A minimal model of Lorentz gauge gravity with dynamical torsion

International Journal of Modern Physics A

Volumn 25, Issue 14, 2010, Pages 2867-2882

  Cho, Y M ^a   Pak, D G ^b,c   Park, B S ^b  

^a Ulsan National Institute of Science and Technology   (South Korea)

^b Seoul National University   (South Korea)

^c NATIONAL UNIVERSITY OF UZBEKISTAN   (Uzbekistan)

Author keywords

Lorentz gauge symmetry; Quantum gravity; Torsion

Indexed keywords

EID: 77953500078     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X10048524     Document Type: Article

References (38)

1. R. Utiyama, Phys. Rev. 101, 1597 (1956).
2. T. W. B. Kibble, J. Math. Phys. 2, 212 (1961).
3. D. W. Sciama, Rev. Mod. Phys. 36, 463 (1964).
4. K. Hayashi and T. Nakano, Prog. Theor. Phys. 38, 491 (1967).
5. K. Hayashi and A. Bregman, Ann. Phys. (N.Y.) 75, 562 (1973).
6. R. Utiyama and T. Fukuyama, Prog. Theor. Phys. 45, 612 (1971).
7. A. M. Brodskii, D. Ivanenko and G. A. Sokolik, Sov. Phys. JETP 14, 930 (1974).
8. D. Ivanenko, in Proc. Conf. on Theory of Gravitation (Gauthier-Villars, Paris, 1962), p. 212.
9. Y. M. Cho, Phys. Rev. D 14, 2521 (1976).
10. Y. M. Cho, Phys. Rev. D 14, 3341 (1976).
11. I. Antoniadis and E. T. Tomboulis, Phys. Rev. 33, 2756 (1986).
12. D. A. Johnston, Nucl. Phys. B 297, 721 (1988).
13. M. Carmelli, J. Math. Phys. 11, 2728 (1970).
14. M. Carmelli, Group Theory and General Relativity, International Series in Pure and Applied Physics (McGraw-Hill, 1977).
15. E. A. Lord, Nuovo Cimento B 11, 185 (1972).
16. M. Martellini and P. Sodano, Phys. Rev. D 22, 1325 (1980).
17. D. Ivanenko and G. Sardanashvily, Phys. Rep. 94, 1 (1983).
18. F. W. Hehl, J. D. McCrea, E. W. Mielke and Y. Ne'eman, Phys. Rep. 258, 1 (1995).
19. I. L. Buchbinder, S. D. Odintsov and I. L. Shapiro, E ective Action in Quantum Gravity (IOP, Bristol, 1992).
20. I. L. Shapiro, Phys. Rep. 357, 113 (2001).
21. D. G. Pak and S. W. Kim, Class. Quantum Grav. 25, 065011 (2008).
22. A. J. Hanson and T. Regge, in Proc. Integrative Conf. on Group Theory and Mathe- matical Physics (University of Texas at Austin, 1978), p. 354 (unpublished).
23. K. Hayashi and T. Shirafuji, Prog. Theor. Phys. 64, 866 (1980).
24. F. W. Hehl, P. von der Heyde, G. D. Kerlik and J. M. Nester, Rev. Mod. Phys. 48, 393 (1976).
25. E. Sezgin and P. van Nieuwenhuizen, Phys. Rev. D 21, 3269 (1980).
26. R. Kuhfuss and J. Nitsch, Gen. Relativ. Gravit. 18, 1207 (1986).
27. H. Chen, J. M. Nester and H.-J. Yo, Acta Phys. Pol. 29, 961 (1998).
28. H.-J. Yo and J. M. Nester, Int. J. Mod. Phys. D 8, 459 (1999).
29. H. J. Yo and J. M. Nester, Int. J. Mod. Phys. D 11, 747 (2002).
30. R. Bach, Math. Z. 9, 110 (1921).
31. C. Lanczos, Ann. Math. 39, 842 (1938).
32. K. Hayashi and T. Shirafuji, Prog. Theor. Phys. 65, 525 (1981).
33. M. Blagojevic and I. A. Nikolic, Phys. Rev. D 28, 2455 (1983).
34. I. A. Nikolic, Phys. Rev. D 30, 2508 (1984).
35. D. M. Gitman and I. V. Tyutin, Quantization of Fields with Constraints (Springer- Verlag, 1990).
36. S. Deser, Ann. Inst. Henri Poincaŕe A 7, 149 (1967).
37. G. K. Savvidy, Phys. Lett. B 71, 133 (1977).
38. N. K. Nielsen and P. Olesen, Nucl. Phys. B 144, 376 (1978).