Exact Foldy-Wouthuysen transformation for a Dirac spinor in torsion and other CPT and Lorentz violating backgrounds

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 80, Issue 12, 2009, Pages

  Gonçalves, Bruno ^a   Obukhov, Yuri N ^b   Shapiro, Ilya L ^a  

^a FEDERAL UNIVERSITY OF JUIZ DE FORA   (Brazil)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 73449148326     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.80.125034     Document Type: Article

References (46)

1. F.W. Hehl, Gen. Relativ. Gravit. GRGVA8 0001-7701 4, 333 (1973); 10.1007/BF00759853
2. F.W. Hehl Gen. Relativ. Gravit. GRGVA8 0001-7701 5, 491 (1974); 10.1007/BF02451393
3. F.W. Hehl, P. Heide, G.D. Kerlick, and J.M. Nester, Rev. Mod. Phys. 48, 393 (1976). RMPHAT 0034-6861 10.1103/RevModPhys.48.393
4. D.I. Ivanenko and G. Sardanashvily, Phys. Rep. PRPLCM 0370-1573 94, 1 (1983). 10.1016/0370-1573(83)90046-7
5. V.N. Ponomarev, A.O. Barvinsky, and Yu.N. Obukhov, Geometrodynamical Methods and Gauge Approach to Gravity Interaction Theory (Energoatomizdat, Moscow, 1985).
6. V. De Sabbata and M. Gasperini, Introduction to Gravity (World Scientific, Singapore, 1985).
7. I.L. Buchbinder, S.D. Odintsov, and I.L. Shapiro, Riv. Nuovo Cimento Soc. Ital. Fis. RNUCAC 0035-5917 12, 1 (1989); 10.1007/BF02740010
8. I.L. Buchbinder S.D. Odintsov I.L. Shapiro Effective Action in Quantum Gravity (IOP Publishing, Bristol, 1992).
9. I.L. Shapiro, Phys. Rep. PRPLCM 0370-1573 357, 113 (2002). 10.1016/S0370-1573(01)00030-8
10. B.K. Datta, Nuovo Cimento Soc. Ital. Fis. B NIFBAP 0369-4100 6, 1 (1971). 10.1007/BF02738158
11. J. Audretsch, Phys. Rev. D PRVDAQ 0556-2821 24, 1470 (1981). 10.1103/PhysRevD.24.1470
12. K. Hayashi and T. Shirafuji, Prog. Theor. Phys. PTPKAV 0033-068X 64, 866 (1980).
13. H. Rumpf, Gen. Relativ. Gravit. GRGVA8 0001-7701 10, 647 (1979); 10.1007/BF00756901
14. H. Rumpf Gen. Relativ. Gravit. GRGVA8 0001-7701 14, 773 (1982). 10.1007/BF00756089
15. V. de Sabbata, P.I. Pronin, and C. Sivaram, Int. J. Theor. Phys. 30, 1671 (1991). IJTPBM 0020-7748 10.1007/BF00673643
16. V.G. Bagrov, I.L. Buchbinder, and I.L. Shapiro, Izv. Vyssh. Uchebn. Zaved. Fiz. IVUFAC 0021-3411 35, 5 (1992)
17. [V.G. Bagrov I.L. Buchbinder I.L. Shapiro Sov. Phys. J. SOPJAQ 0038-5697 35, 5 (1992)].
18. L.H. Ryder and I.L. Shapiro, Phys. Lett. A 247, 21 (1998). PYLAAG 0375-9601 10.1016/S0375-9601(98)00503-9
19. C. Lammerzahl, Phys. Lett. A 228, 223 (1997). PYLAAG 0375-9601 10.1016/S0375-9601(97)00127-8
20. V.A. Kostelecky and C.D. Lane, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 40, 6245 (1999); 10.1063/1.533090
21. V.A. Kostelecky C.D. Lane Phys. Rev. D PRVDAQ 0556-2821 60, 116010 (1999). 10.1103/PhysRevD.60.116010 (Pubitemid 40647394)
22. O.G. Kharlanov and V.Ch. Zhukovsky, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 48, 092302 (2007). 10.1063/1.2785123
23. V.A. Kostelecky, N. Russell, and J.D. Tasson, Phys. Rev. Lett. 100, 111102 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.111102
24. L.L. Foldy and S. Wouthuysen, Phys. Rev. 78, 29 (1950). PHRVAO 0031-899X 10.1103/PhysRev.78.29
25. E. Eriksen and M. Kolsrud, Nuovo Cimento NUCIAD 0029-6341 18, 1 (1960). 10.1007/BF02782145
26. A.G. Nikitin, J. Phys. A JPHAC5 0305-4470 31, 3297 (1998). 10.1088/0305-4470/31/14/015 (Pubitemid 128055238)
27. K.M. Case, Phys. Rev. 95, 1323 (1954). PHRVAO 0031-899X 10.1103/PhysRev.95.1323
28. C.G. de Oliveira and J. Tiomno, Nuovo Cimento NUCIAD 0029-6341 24, 672 (1962). 10.1007/BF02816716
29. Yu.N. Obukhov, Phys. Rev. Lett. 86, 192 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.192 (Pubitemid 32131674)
30. A.J. Silenko and O.V. Teryaev, Phys. Rev. D PRVDAQ 1550-7998 71, 064016 (2005); 10.1103/PhysRevD.71.064016
31. A.J. Silenko O.V. Teryaev Phys. Rev. D PRVDAQ 1550-7998 76, 061101(R) (2007); 10.1103/PhysRevD.76.061101
32. Y.N. Obukhov, A.J. Silenko, and O.V. Teryaev, Phys. Rev. D PRVDAQ 1550-7998 80, 064044 (2009). 10.1103/PhysRevD.80.064044
33. S. Heidenreich, T. Chrobok, and H.-H.v. Borzeszkowski, Phys. Rev. D PRVDAQ 1550-7998 73, 044026 (2006); 10.1103/PhysRevD.73.044026 (Pubitemid 44533248)
34. M. Buhl, H.-H.v. Borzeszkowski, and T. Chrobok, Phys. Rev. D PRVDAQ 1550-7998 78, 104022 (2008). 10.1103/PhysRevD.78.104022
35. B. Gonçalves, Y.N. Obukhov, and I.L. Shapiro, Phys. Rev. D PRVDAQ 1550-7998 75, 124023 (2007). 10.1103/PhysRevD.75.124023
36. V.A. Kostelecky and R. Potting, Nucl. Phys. NUPBBO 0550-3213 B359, 545 (1991); 10.1016/0550-3213(91)90071-5
37. V.A. Kostelecky R. Potting Phys. Lett. B 381, 389 (1996); PYLBAJ 0370-2693
38. V.A. Kostelecky and R. Lehnert, Phys. Rev. D PRVDAQ 0556-2821 63, 065008 (2001). 10.1103/PhysRevD.63.065008 (Pubitemid 33795763)
39. D. Colladay and V.A. Kostelecky, Phys. Rev. D PRVDAQ 0556-2821 55, 6760 (1997); 10.1103/PhysRevD.55.6760
40. D. Colladay V.A. Kostelecky Phys. Rev. D PRVDAQ 0556-2821 58, 116002 (1998). 10.1103/PhysRevD.58.116002
41. V.A. Kostelecky and S. Samuel, Phys. Rev. D PRVDAQ 0556-2821 39, 683 (1989); 10.1103/PhysRevD.39.683
42. V.A. Kostelecky and R. Potting, Phys. Rev. D PRVDAQ 0556-2821 63, 046007 (2001). 10.1103/PhysRevD.63.046007 (Pubitemid 33795882)
43. R. Jackiw and V.A. Kostelecky, Phys. Rev. Lett. 82, 3572 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.82.3572
44. J.M. Bjorken and S.D. Drell, Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964).
45. B. Goncalves, Int. J. Mod. Phys. A IMPAEF 0217-751X 24, 1717 (2009). 10.1142/S0217751X09045297
46. I.L. Buchbinder and I.L. Shapiro, Phys. Lett. 151B, 263 (1985). PYLBAJ 0370-2693 10.1016/0370-2693(85)90848-2