Ginsparg-Wilson Dirac operator in monopole backgrounds on the fuzzy 2-sphere

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 75, Issue 8, 2007, Pages

  Aoki, Hajime ^a   Iso, Satoshi ^b   Maeda, Toshiharu ^a  

^a SAGA UNIVERSITY   (Japan)

^b INSTITUTE OF PARTICLE AND NUCLEAR STUDIES   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34247558667     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.75.085021     Document Type: Article

References (67)

1. T. Banks, W. Fischler, S.H. Shenker, and L. Susskind, Phys. Rev. D 55, 5112 (1997). PRVDAQ 0556-2821 10.1103/PhysRevD.55.5112
2. N. Ishibashi, H. Kawai, Y. Kitazawa, and A. Tsuchiya, Nucl. Phys. NUPBBO 0550-3213 B498, 467 (1997). 10.1016/S0550-3213(97)00290-3
3. For a review, see H. Aoki, S. Iso, H. Kawai, Y. Kitazawa, A. Tsuchiya, and T. Tada, Prog. Theor. Phys. Suppl. 134, 47 (1999). PTPSEP 0375-9687
4. A. Connes, Noncommutative Geometry (Academic Press, New York, 1990).
5. A. Connes, M.R. Douglas, and A. Schwarz, J. High Energy Phys. JHEPFG 1029-8479 02 (1998) 003. 10.1088/1126-6708/1998/02/003
6. H. Aoki, N. Ishibashi, S. Iso, H. Kawai, Y. Kitazawa, and T. Tada, Nucl. Phys. NUPBBO 0550-3213 B565, 176 (2000). 10.1016/S0550-3213(99)00633-1
7. N. Seiberg and E. Witten, J. High Energy Phys. JHEPFG 1029-8479 09 (1999) 032. 10.1088/1126-6708/1999/09/032
8. H. Grosse, C. Klimcik, and P. Presnajder, Commun. Math. Phys. 178, 507 (1996); CMPHAY 0010-3616 10.1007/BF02099460
9. S. Baez, A.P. Balachandran, B. Ydri, and S. Vaidya, Commun. Math. Phys. 208, 787 (2000); CMPHAY 0010-3616 10.1007/s002200050011
10. G. Landi, J. Geom. Phys. 37, 47 (2001). JGPHE5 0393-0440 10.1016/S0393-0440(00)00032-2
11. A.P. Balachandran and S. Vaidya, Int. J. Mod. Phys. A 16, 17 (2001). IMPAEF 0217-751X
12. P. Valtancoli, Mod. Phys. Lett. A 16, 639 (2001). MPLAEQ 0217-7323 10.1142/S0217732301003851
13. H. Steinacker, Nucl. Phys. NUPBBO 0550-3213 B679, 66 (2004). 10.1016/j.nuclphysb.2003.12.005
14. D. Karabali, V.P. Nair, and A.P. Polychronakos, Nucl. Phys. NUPBBO 0550-3213 B627, 565 (2002). 10.1016/S0550-3213(02)00062-7
15. U. Carow-Watamura, H. Steinacker, and S. Watamura, J. Geom. Phys. 54, 373 (2005). JGPHE5 0393-0440 10.1016/j.geomphys.2004.11.001
16. P.H. Ginsparg and K.G. Wilson, Phys. Rev. D 25, 2649 (1982). PRVDAQ 0556-2821 10.1103/PhysRevD.25.2649
17. H. Neuberger, Phys. Lett. B 417, 141 (1998); PYLBAJ 0370-2693 10.1016/S0370-2693(97)01368-3
18. H. Neuberger Phys. Rev. D 57, 5417 (1998); PRVDAQ 0556-2821 10.1103/PhysRevD.57.5417
19. H. Neuberger Phys. Lett. B 427, 353 (1998). PYLBAJ 0370-2693 10.1016/S0370-2693(98)00355-4
20. P. Hasenfratz, Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 63, 53 (1998); 10.1016/S0920-5632(97)00696-8
21. P. Hasenfratz, V. Laliena, and F. Niedermayer, Phys. Lett. B 427, 125 (1998). PYLBAJ 0370-2693 10.1016/S0370-2693(98)00315-3
22. M. Lüscher, Phys. Lett. B 428, 342 (1998). PYLBAJ 0370-2693 10.1016/S0370-2693(98)00423-7
23. F. Niedermayer, Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 73, 105 (1999). 10.1016/S0920-5632(99)85011-7
24. H. Aoki, S. Iso, and K. Nagao, Phys. Rev. D 67, 085005 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.085005
25. J. Madore, Classical Quantum Gravity CQGRDG 0264-9381 9, 69 (1992). 10.1088/0264-9381/9/1/008
26. A.P. Balachandran, T.R. Govindarajan, and B. Ydri, Mod. Phys. Lett. A 15, 1279 (2000); MPLAEQ 0217-7323 10.1142/S0217732300001389
27. A.P. Balachandran T.R. Govindarajan B. Ydri hep-th/0006216.
28. B. Ydri, J. High Energy Phys. JHEPFG 1029-8479 08 (2003) 046. 10.1088/1126-6708/2003/08/046
29. A.P. Balachandran and G. Immirzi, Phys. Rev. D 68, 065023 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.68.065023
30. H. Aoki, S. Iso, and K. Nagao, Nucl. Phys. NUPBBO 0550-3213 B684, 162 (2004). 10.1016/j.nuclphysb.2004.02.008
31. J. Nishimura and M.A. Vazquez-Mozo, J. High Energy Phys. JHEPFG 1029-8479 08 (2001) 033. 10.1088/1126-6708/2001/08/033
32. S. Iso and K. Nagao, Prog. Theor. Phys. 109, 1017 (2003). PTPKAV 0033-068X 10.1143/PTP.109.1017
33. T. Fujiwara, K. Nagao, and H. Suzuki, J. High Energy Phys. JHEPFG 1029-8479 09 (2002) 025. 10.1088/1126-6708/2002/09/025
34. J. Nishimura and M.A. Vazquez-Mozo, J. High Energy Phys. JHEPFG 1029-8479 01 (2003) 075. 10.1088/1126-6708/2003/01/075
35. H. Aoki, S. Iso, T. Maeda, and K. Nagao, Phys. Rev. D 71, 045017 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.045017
36. R.C. Myers, J. High Energy Phys. JHEPFG 1029-8479 12 (1999) 022. 10.1088/1126-6708/1999/12/022
37. S. Iso, Y. Kimura, K. Tanaka, and K. Wakatsuki, Nucl. Phys. NUPBBO 0550-3213 B604, 121 (2001). 10.1016/S0550-3213(01)00173-0
38. S. Bal and H. Takata, Int. J. Mod. Phys. A 17, 2445 (2002). IMPAEF 0217-751X 10.1142/S0217751X02010728
39. P. Valtancoli, Int. J. Mod. Phys. A 18, 967 (2003). IMPAEF 0217-751X 10.1142/S0217751X03014058
40. T.A. Imai, Y. Kitazawa, Y. Takayama, and D. Tomino, Nucl. Phys. NUPBBO 0550-3213 B665, 520 (2003). 10.1016/S0550-3213(03)00491-7
41. T. Azuma, S. Bal, K. Nagao, and J. Nishimura, J. High Energy Phys. JHEPFG 1029-8479 05 (2004) 005; 10.1088/1126-6708/2004/05/005
42. T. Azuma S. Bal K. Nagao J. Nishimura J. High Energy Phys. JHEPFG 1029-8479 05 (2006) 061; 10.1088/1126-6708/2006/05/061
43. T. Azuma, K. Nagao, and J. Nishimura, J. High Energy Phys. JHEPFG 1029-8479 06 (2005) 081. 10.1088/1126-6708/2005/06/081
44. P. Castro-Villarreal, R. Delgadillo-Blando, and B. Ydri, Nucl. Phys. NUPBBO 0550-3213 B704, 111 (2005). 10.1016/j.nuclphysb.2004.10.032
45. G. Ishiki, S. Shimasaki, Y. Takayama, and A. Tsuchiya, J. High Energy Phys. JHEPFG 1029-8479 11 (2006) 089. 10.1088/1126-6708/2006/11/089
46. U. Carow-Watamura and S. Watamura, Commun. Math. Phys. 183, 365 (1997); CMPHAY 0010-3616 10.1007/BF02506411
47. U. Carow-Watamura S. Watamura Commun. Math. Phys. 212, 395 (2000). CMPHAY 0010-3616 10.1007/s002200000213
48. H. Grosse and J. Madore, Phys. Lett. B 283, 218 (1992); PYLBAJ 0370-2693 10.1016/0370-2693(92)90011-R
49. H. Grosse and P. Presnajder, Lett. Math. Phys. 33, 171 (1995); LMPHDY 0377-9017 10.1007/BF00739805
50. H. Grosse, C. Klimcik, and P. Presnajder, Commun. Math. Phys. 185, 155 (1997); CMPHAY 0010-3616 10.1007/s002200050085
51. H. Grosse C. Klimcik P. Presnajder hep-th/9603071.
52. H. Grosse and P. Presnajder, hep-th/9805085;
53. H. Grosse P. Presnajder Lett. Math. Phys. 46, 61 (1998). LMPHDY 0377-9017 10.1023/A:1007488127105
54. P. Presnajder, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 41, 2789 (2000). 10.1063/1.533271
55. H. Aoki, S. Iso, and K. Nagao, Phys. Rev. D 67, 065018 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.065018
56. G. 't Hooft, Nucl. Phys. NUPBBO 0550-3213 B79, 276 (1974). 10.1016/0550-3213(74)90486-6
57. M. Luscher, Commun. Math. Phys. 85, 39 (1982). CMPHAY 0010-3616 10.1007/BF02029132
58. P. Hernandez, K. Jansen, and M. Luscher, Nucl. Phys. NUPBBO 0550-3213 B552, 363 (1999). 10.1016/S0550-3213(99)00213-8
59. M. Luscher, Nucl. Phys. NUPBBO 0550-3213 B538, 515 (1999); 10.1016/S0550-3213(98)00680-4
60. M. Luscher Nucl. Phys. NUPBBO 0550-3213 B549, 295 (1999). 10.1016/S0550-3213(99)00115-7
61. H. Aoki and S. Iso (unpublished).
62. K. Fujikawa, Phys. Rev. D 60, 074505 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.60.074505
63. K. Nagao, Phys. Rev. D 73, 065002 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.065002
64. H. Aoki, J. Nishimura, and Y. Susaki, J. High Energy Phys. JHEPFG 1029-8479 02 (2007) 033; 10.1088/1126-6708/2007/02/033
65. H. Aoki J. Nishimura Y. Susaki hep-th/0604093.
66. T.T. Wu and C.N. Yang, Nucl. Phys. NUPBBO 0550-3213 B107, 365 (1976). 10.1016/0550-3213(76)90143-7
67. V.A. Rubakov, Nucl. Phys. NUPBBO 0550-3213 B203, 311 (1982). 10.1016/0550-3213(82)90034-7