Gauge invariance and quantization of Yang-Mills theories in extra dimensions

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 82, Issue 11, 2010, Pages

  Novales Sanchez H ^a   Toscano, J J ^a  

^a BENEMÉRITA UNIVERSIDAD AUTÓNOMA DE PUEBLA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78651337220     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.82.116012     Document Type: Article

References (82)

1. I. Antoniadis, Phys. Lett. B 246, 377 (1990). PYLBAJ 0370-2693 10.1016/0370-2693(90)90617-F
2. N. Arkani-Hamed, S. Dimopoulos, and G.R. Dvali, Phys. Lett. B 429, 263 (1998). PYLBAJ 0370-2693 10.1016/S0370-2693(98)00466-3
3. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, and G.R. Dvali, Phys. Lett. B 436, 257 (1998). PYLBAJ 0370-2693 10.1016/S0370-2693(98)00860-0
4. Keith R. Dienes, Emilian Dudas, and Tony Gherghetta, Nucl. Phys. NUPBBO 0550-3213 B537, 47 (1999) 10.1016/S0550-3213(98)00669-5
5. C. Hills, S. Pokorski, and J. Wang, Phys. Rev. D PRVDAQ 0556-2821 64, 105005 (2001). 10.1103/PhysRevD.64.105005
6. A. Mück, A. Pilaftsis, and R. Rückl, Phys. Rev. D PRVDAQ 0556-2821 65, 085037 (2002). 10.1103/PhysRevD.65.085037
7. R. Sekhar Chivukula, Duane A. Dicus, and Hong-Jian He, Phys. Lett. B 525, 175 (2002). PYLBAJ 0370-2693 10.1016/S0370-2693(01)01435-6
8. Qi-Shu Yan and Dong Sheng Du, Phys. Rev. D PRVDAQ 0556-2821 65, 094034 (2002). 10.1103/PhysRevD.65.094034
9. A. Buras, A. Poschenrieder, M. Spranger, and A. Weiler, Nucl. Phys. NUPBBO 0550-3213 B678, 455 (2004). 10.1016/j.nuclphysb.2003.11.010 (Pubitemid 38037767)
10. A. Mück, L. Nilse, A. Pilaftsis, and R. Rückl, Phys. Rev. D PRVDAQ 1550-7998 71, 066004 (2005). 10.1103/PhysRevD.71.066004
11. N. Uekusa, Phys. Rev. D PRVDAQ 1550-7998 75, 064014 (2007). 10.1103/PhysRevD.75.064014
12. T. Appelquist and B.A. Dobrescu, Phys. Lett. B 516, 85 (2001); PYLBAJ 0370-2693 10.1016/S0370-2693(01)00901-7
13. A.J. Roy and M. Bander, Nucl. Phys. NUPBBO 0550-3213 B811, 353 (2009). 10.1016/j.nuclphysb.2008.11.033
14. K. Agashe, N.G. Deshpande, and G.-H. Wu, Phys. Lett. B 514, 309 (2001); PYLBAJ 0370-2693 10.1016/S0370-2693(01)00791-2 (Pubitemid 32725979)
15. A.J. Buras, A. Poschenrieder, M. Spranger, and A. Weiler, Nucl. Phys. NUPBBO 0550-3213 B678, 455 (2004); 10.1016/j.nuclphysb.2003.11.010 (Pubitemid 38037767)
16. U. Haisch and A. Weiler, Phys. Rev. D PRVDAQ 1550-7998 76, 034014 (2007); 10.1103/PhysRevD.76.034014
17. U. Haisch A. Weiler arXiv:hep-ph/0703064;
18. A. Freitas and U. Haisch, Phys. Rev. D PRVDAQ 1550-7998 77, 093008 (2008). 10.1103/PhysRevD.77.093008
19. J. Papavassiliou and A. Santamaria, Phys. Rev. D PRVDAQ 0556-2821 63, 016002 (2000). 10.1103/PhysRevD.63.016002
20. J.F. Oliver, J. Papavassiliou, and A. Santamaria, Phys. Rev. D PRVDAQ 0556-2821 67, 056002 (2003); 10.1103/PhysRevD.67.056002 (Pubitemid 44627988)
21. J.F. Oliver, J. Papavassiliou, and A. Santamaria, Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 120, 210 (2003). 10.1016/S0920-5632(03)01904-2 (Pubitemid 36668240)
22. Ikaros I. Bigi, George Chiladze, Gela Devidze, Christoph Hanhart, Akaki Lipartelian, and Ulf-G. Meissner, arXiv:hep-ph/0603160.
23. Paramita Dey and Gautam Bhattacharyya, Phys. Rev. D PRVDAQ 0556-2821 69, 076009 (2004); 10.1103/PhysRevD.69.076009 (Pubitemid 44533374)
24. Paramita Dey and Gautam Bhattacharyya, Phys. Rev. D PRVDAQ 1550-7998 70, 116012 (2004). 10.1103/PhysRevD.70.116012
25. Debrupa Chakraverty, Katri Huitu, and Anirban Kundu, Phys. Lett. B 558, 173 (2003); PYLBAJ 0370-2693 10.1016/S0370-2693(03)00281-8
26. J.F. Oliver, J. Papavassiliou, and A. Santamaria, Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 120, 210 (2003). 10.1016/S0920-5632(03)01904-2 (Pubitemid 36668240)
27. C. Becchi, A Rouet, and R. Stora, Commun. Math. Phys. 42, 127 (1975); CMPHAY 0010-3616 10.1007/BF01614158
28. C. Becchi A Rouet A Stora Ann. Phys. (N.Y.) APNYA6 0003-4916 98, 287 (1976); 10.1016/0003-4916(76)90156-1
29. I.V. Tyutin, FIAN (P.N: Lebedev Physical Institute of the USSR Academy of Science), Report No. 39, 1975.
30. For a review of the BRST symmetry at both the classical and quantum levels within the context of the field-antifield formalism, see J. Gomis, J. Paris, and S. Samuel, Phys. Rep. 259, 1 (1995). PRPLCM 0370-1573 10.1016/0370-1573(94)00112-G
31. L. Castellani, Ann. Phys. (N.Y.) APNYA6 0003-4916 143, 357 (1982). 10.1016/0003-4916(82)90031-8
32. G. Weiglein (LHC/ILC Study Group), Phys. Rep. 426, 47 (2006). PRPLCM 0370-1573 10.1016/j.physrep.2005.12.003 (Pubitemid 43399601)
33. B.S. DeWitt, Phys. Rev. 162, 1195 (1967); PHRVAO 0031-899X 10.1103/PhysRev.162.1195
34. B.S. DeWitt Dynamical Theory of Groups and Fields (Gordon and Breach, New York, 1965);
35. C.J. Isham, R. Penrose, and D.W. Sciama, Quantum Gravity 2 (Oxford University Press, Oxford, 1981);
36. G. 'tHooft, Acta Univ. Wratislavensis 368, 345 (1976);
37. M.T. Grisaru, P. van Nieuwenhuizen, and C.C. Wu, Phys. Rev. D PRVDAQ 0556-2821 12, 3203 (1975); 10.1103/PhysRevD.12.3203
38. H. Kluberg-Stern and J.B. Zuber, Phys. Rev. D PRVDAQ 0556-2821 12, 482 (1975); 10.1103/PhysRevD.12.482
39. D.G. Boulware, Phys. Rev. D PRVDAQ 0556-2821 23, 389 (1981); 10.1103/PhysRevD.23.389
40. C.F. Hart, Phys. Rev. D PRVDAQ 0556-2821 28, 1993 (1983); 10.1103/PhysRevD.28.1993
41. L.F. Abbott, Nucl. Phys. NUPBBO 0550-3213 B185, 189 (1981); 10.1016/0550-3213(81)90371-0
42. L.F. Abbott Acta Phys. Pol. B 13, 33 (1982); APOBBB 0587-4254
43. L.F. Abbott, M.T. Grisaru, and R.K. Schaefer, Nucl. Phys. NUPBBO 0550-3213 B229, 372 (1983). 10.1016/0550-3213(83)90337-1
44. S. Weinberg, The Quantum Theory of Fields (Cambridge University Press, Cambridge, England, 1996), Vols. I-II.
45. For some applications in the context of electroweak effective Lagrangians, see M.A. Pérez and J.J. Toscano, Phys. Lett. B 289, 381 (1992); PYLBAJ 0370-2693 10.1016/0370-2693(92)91235-2
46. C. Arzt, M.B. Einhorn, and J. Wudka, Phys. Rev. D PRVDAQ 0556-2821 49, 1370 (1994); 10.1103/PhysRevD.49.1370
47. M.A. Pérez, J.J. Toscano, and J. Wudka, Phys. Rev. D PRVDAQ 0556-2821 52, 494 (1995); 10.1103/PhysRevD.52.494
48. J.L. Díaz-Cruz, J. Hernández-Sánchez, and J.J. Toscano, Phys. Lett. B PYLBAJ 0370-2693 512, 339 (2001). 10.1016/S0370-2693(01) 00703-1 (Pubitemid 32655673)
49. T. Appelquist, H-C. Cheng, and B.A. Dobrescu, Phys. Rev. D PRVDAQ 0556-2821 64, 035002 (2001); 10.1103/PhysRevD.64.035002 (Pubitemid 33795676)
50. T. Appelquist and H-U. Yee, Phys. Rev. D PRVDAQ 0556-2821 67, 055002 (2003). 10.1103/PhysRevD.67.055002 (Pubitemid 44627984)
51. P.A.M. Dirac, Lectures on Quantum Mechanics (Yeshiva University, New York, 1964);
52. K. Sundermeyer, Constrained Dynamics (Springer-Verlag, Berlin, Heidelberg, New York, 1982);
53. D.M. Gitman and I.V. Tyutin, Quantization of Fields with Constraints (Springer, Berlin, 1990);
54. M. Henneaux and C. Teitelboim, Quantization of Gauge Systems (Princeton University Press, Princeton, 1992).
55. A. Flores-Tlalpa, J. Montaño, H. Novales-Sánchez, F. Ramírez-Zavaleta, and J.J. Toscano, arXiv:1009.0063.
56. A. Flores-Tlalpa, J. Montaño, H. Novales-Sánchez, F. Ramírez-Zavaleta, and J.J. Toscano (work in progress).
57. I.A. Batalin and G.A. Vilkovisky, Phys. Lett. 102B, 27 (1981); PYLBAJ 0370-2693 10.1016/0370-2693(81)90205-7
58. I.A. Batalin G.A. Vilkovisky Phys. Lett. 120B, 166 (1983); PYLBAJ 0370-2693 10.1016/0370-2693(83)90645-7
59. I.A. Batalin G.A. Vilkovisky Phys. Rev. D PRVDAQ 0556-2821 28, 2567 (1983); 10.1103/PhysRevD.28.2567
60. I.A. Batalin G.A. Vilkovisky Phys. Rev. D PRVDAQ 0556-2821 30, 508(E) (1984); 10.1103/PhysRevD.30.508
61. I.A. Batalin G.A. Vilkovisky Nucl. Phys. B234, 106 (1984);
62. I.A. Batalin G.A. Vilkovisky J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 26, 172 (1985). 10.1063/1.526780
63. G. 'tHooft and M.J.G. Veltman, Nucl. Phys. NUPBBO 0550-3213 B50, 318 (1972); 10.1016/S0550-3213(72)80021-X
64. K. Fujikawa, B.W. Lee, and A.I. Sanda, Phys. Rev. D PRVDAQ 0556-2821 6, 2923 (1972); 10.1103/PhysRevD.6.2923
65. B.W. Lee and J. Zinn-Justin, Phys. Rev. D PRVDAQ 0556-2821 5, 3121 (1972); 10.1103/PhysRevD.5.3121
66. B.W. Lee J. Zinn-Justin Phys. Rev. D PRVDAQ 0556-2821 7, 1049 (1973). 10.1103/PhysRevD.7.1049
67. K. Fujikawa, Phys. Rev. D PRVDAQ 0556-2821 7, 393 (1973). 10.1103/PhysRevD.7.393
68. Y(1) group, see C.G. Honorato and J.J. Toscano, Pramana 73, 1023 (2010);
69. see also H. Novales-Sánchez and J.J. Toscano, AIP Conf. Proc. 1116, 443 (2009). APCPCS 0094-243X
70. J.M. Cornwall, Phys. Rev. D PRVDAQ 0556-2821 26, 1453 (1982); 10.1103/PhysRevD.26.1453
71. J.M. Cornwall and J. Papavassiliou, Phys. Rev. D PRVDAQ 0556-2821 40, 3474 (1989); 10.1103/PhysRevD.40.3474
72. J. Papavassiliou, Phys. Rev. D PRVDAQ 0556-2821 41, 3179 (1990). 10.1103/PhysRevD.41.3179
73. For a recent review of the pinch technique, see D. Binosi and J. Papavassiliou, Phys. Rep. PRPLCM 0370-1573 479, 1 (2009). 10.1016/j.physrep. 2009.05.001
74. J. Montaño, F. Ramírez-Zavaleta, G. Tavares-Velasco, and J.J. Toscano, Phys. Rev. D PRVDAQ 1550-7998 72, 055023 (2005); 10.1103/PhysRevD.72.055023 (Pubitemid 43036949)
75. F. Ramírez-Zavaleta, G. Tavares-Velasco, and J.J. Toscano, Phys. Rev. D PRVDAQ 1550-7998 75, 075008 (2007). 10.1103/PhysRevD.75.075008
76. F. Pisano and V. Pleitez, Phys. Rev. D PRVDAQ 0556-2821 46, 410 (1992); 10.1103/PhysRevD.46.410
77. P.H. Frampton, Phys. Rev. Lett. 69, 2889 (1992). PRLTAO 0031-9007 10.1103/PhysRevLett.69.2889
78. H. Georgi, Annu. Rev. Nucl. Part. Sci. ARPSDF 0163-8998 43, 209 (1993);
79. J. Wudka, Int. J. Mod. Phys. A 9, 2301 (1994). IMPAEF 0217-751X 10.1142/S0217751X94000959
80. S. Weinberg, Physica A (Amsterdam) 96, 327 (1979); PHYADX 0378-4371 10.1016/0378-4371(79)90223-1
81. J. Gasser and H. Leutwyler, Nucl. Phys. NUPBBO 0550-3213 B250, 465 (1985). 10.1016/0550-3213(85)90492-4
82. H. Novales-Sánchez and J.J. Toscano (work in progress).