Review of the phenomenology of noncommutative geometry

International Journal of Modern Physics A

Volumn 19, Issue 2, 2004, Pages 179-204

  Hinchliffe, I ^a   Kersting, N ^b   Ma, Y L ^b  

^a LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

^b TSINGHUA UNIVERSITY   (China)

Author keywords

Noncommutative geometry; Particle physics; Phenomenology

Indexed keywords

ATOMIC PARTICLE; COSMOS; DIPOLE; ELECTRIC ACTIVITY; ENERGY TRANSFER; GEOMETRY; MOLECULAR MODEL; PREDICTION; REVIEW;

EID: 3042826087     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X04017094     Document Type: Review

References (106)

1. E. Witten, Nucl. Phys. B268, 253 (1986).
2. N. Seiberg and E. Witten, J. High Energy Phys. 09, 032 (1999).
3. J. Madore, An Introduction to Noncommutative Differential Geometry and Its Physical Applications (Cambridge University Press, Cambridge, 2000).
4. A. Connes, "Noncommutative geometry," (2000), math.qa/0011193.
5. D. Kastler, Lect. Notes Phys. 543, 131 (2000).
6. E. Carlen and R. V. Mendes, Phys. Lett. A290, 109 (2001).
7. J. C. Varilly, "An introduction to noncommutative geometry," (1997), physics/ 9709045.
8. H. O. Girotti, "Noncommutative quantum field theories," hep-th/0301237.
9. R.-G. Cai and N. Ohta, J. High Energy Phys. 10, 036 (2000).
10. B. Ydri, "Fuzzy physics," (2001), hep-th/0110006.
11. R. Jackiw, Nucl. Phys. Proc. Suppl. 108, 30 (2002).
12. V. V. Dvoeglazov, "Some mathematical bases for non-commutative field theories," (2002), math-ph/0204043.
13. G. Magro, "Noncommuting coordinates in the Landau problem," quant-ph/0302001.
14. M. Dubois-Violette, R. Kerner and J. Madore, J. Math. Phys. 39, 730 (1998).
15. S. Doplicher, K. Fredenhagen and J. E. Roberts, Commun. Math. Phys. 172, 187 (1995).
16. X. Calmet, B. Jurco, P. Schupp, J. Wess and M. Wohlgenannt, Eur. Phys. J. C23, 363 (2002).
17. Zumino, private communication.
18. M. Chaichian, A. Demichev and P. Presnajder, Nucl. Phys. B567, 360 (2000).
19. T. Filk, Phys. Lett. B376, 53 (1996).
20. S. Minwalla, M. Van Raamsdonk and N. Seiberg, J. High Energy Phys. 02, 020 (2000).
21. M. Van Raamsdonk and N. Seiberg, J. High Energy Phys. 03, 035 (2000).
22. H. Grosse, C. Klimcik and P. Presnajder, Commun. Math. Phys. 180, 429 (1996).
23. I. Ya. Aref'eva, D. M. Belov and A. S. Koshelev, Phys. Lett. B476, 431 (2000).
24. M. Hayakawa, "Perturbative analysis on infrared and ultraviolet aspects of noncommutative QED on r**4," hep-th/9912167.
25. T. B. Nguyen, "The one-loop QED in noncommutative space," hep-th/0301084.
26. T. Krajewski and R. Wulkenhaar, Int. J. Mod. Phys. A15, 1011 (2000).
27. A. Armoni, Nucl. Phys. B593, 229 (2001).
28. L. Bonora and M. Salizzoni, Phys. Lett. B504, 80 (2001).
29. C. Brouder and A. Frabetti, "Noncommutative renormalization for massless QED," hep-th/0011161.
30. J. S. Schwinger, Phys. Rev. 76, 790 (1949).
31. M. Van Raamsdonk, J. High Energy Phys. 11, 006 (2001).
32. N. Kersting, "Iruv and discrete space," in preparation.
33. A. Matusis, L. Susskind and N. Toumbas, J. High Energy Phys. 12, 002 (2000).
34. G. Amelino-Camelia, G. Mandanici and K. Yoshida, "On the IR/UV mixing and experimental limits on the parameters of canonical noncommutative spacetimes," hep-th/0209254.
35. S. M. Carroll, J. A. Harvey, V. A. Kostelecky, C. D. Lane and T. Okamoto, Phys. Rev. Lett. 87, 141601 (2001).
36. M. Chaichian, A. Demichev, P. Presnajder and A. Tureanu, Eur. Phys. J. C20, 767 (2001).
37. T. J. Konopka and S. A. Major, New J. Phys. 4, 57 (2002).
38. D. Colladay, "Scattering cross sections and lorentz violation," hep-ph/0201021.
39. T. Jacobson, S. Liberati and D. Mattingly, Phys. Rev. D66, 081302 (2002).
40. S. Terashima, Phys. Lett. B482, 276 (2000).
41. M. Chaichian, P. Presnajder, M. M. Sheikh-Jabbari and A. Tureanu, "Noncommutative standard model: Model building," hep-th/0107055.
42. B. Jurco, L. Moller, S. Schraml, P. Schupp and J. Wess, Eur. Phys. J. C21, 383 (2001).
43. J. Madore, S. Schraml, P. Schupp and J. Wess, Eur. Phys. J. C16, 161 (2000).
44. J. L. Hewett, F. J. Petriello and T. G. Rizzo, Phys. Rev. D66, 036001 (2002).
45. X.-G. He, "Strong, electroweak interactions and their unification with noncommutative space-time," hep-ph/0202223.
46. I. F. Riad and M. M. Sheikh-Jabbari, J. High Energy Phys. 08, 045 (2000).
47. E. Iltan, "The noncommutative effects on the dipole moments of fermions in the standard model," hep-ph/0304097.
48. I. Hinchliffe and N. Kersting, Phys. Rev. D64, 116007 (2001).
49. J.-I. Kamoshita, "Probing noncommutative space-time in the laboratory frame," hep-ph/0206223.
50. - linear collider," hep-ph/0106315.
51. T. Abe et al., "Linear collider physics resource book for snowmass 2001. 4: Theoretical, accelerator, and experimental options," hep-ex/0106058.
52. - linear collider based on clic technology," SLAC-reprint-2000-096.
53. The large hadron collider: Conceptual design, CERN-AC-95-05-LHC.
54. - colliders," hep-ph/0201275.
55. H. Arfaei and M. H. Yavartanoo, "Phenomenological consequences of noncommutative QED," hep-th/0010244.
56. J. L. Hewett, F. J. Petriello and T. G. Rizzo, Phys. Rev. D64, 075012 (2001).
57. P. Mathews, Phys. Rev. D63, 075007 (2001).
58. S.-W. Baek, D. K. Ghosh, X.-G. He and W. Y. P. Hwang, Phys. Rev. D64, 056001 (2001).
59. T. M. Aliev, O. Ozcan and M. Savci, Eur. Phys. J. C27, 447 (2003).
60. N. Mahajan, "Noncommutative QED and gamma gamma scattering," hepph/0110148.
61. - colliders," hepph/0203240.
62. S. Godfrey and M. A. Doncheski, "Signals for non-commutative QED in e gamma and gamma gamma collisions," hep-ph/0111147.
63. H. Grosse and Y. Liao, Phys. Rev. D64, 115007 (2001).
64. H. Grosse and Y. Liao, Phys. Lett. B520, 63 (2001).
65. S. Godfrey and M. A. Doncheski, "Phenomenology of non-commutative field theories," hep-ph/0211247.
66. C. E. Carlson, C. D. Carone and R. F. Lebed, Phys. Lett. B518, 201 (2001).
67. M. Chaichian, M. M. Sheikh-Jabbari and A. Tureanu, Phys. Rev. Lett. 86, 2716 (2001).
68. M. Chaichian, M. M. Sheikh-Jabbari and A. Tureanu, "Comments on the hydrogen atom spectrum in the noncommutative space," hep-th/0212259.
69. M. Haghighat, S. M. Zebarjad and F. Loran, Phys. Rev. D66, 016005 (2002).
70. M. Caravati, A. Devoto and W. W. Repko, Phys. Lett. B556, 123 (2003).
71. M. Haghighat and F. Loran, "Helium atom spectrum in non-commutative space," hep-th/0206019.
72. M. M. Sheikh-Jabbari, J. High Energy Phys. 06, 015 (1999).
73. F. Ardalan, H. Arfaei and M. M. Sheikh-Jabbari, J. High Energy Phys. 02, 016 (1999).
74. V. D. Barger et al., Phys. Rev. D64, 056007 (2001).
75. M. Brhlik, G. J. Good and G. L. Kane, Phys. Rev. D59, 115004 (1999).
76. L. Wolfenstein, Phys. Rev. Lett. 51, 1945 (1983).
77. Z. Chang and Z.-Z. Xing, Phys. Rev. D66, 056009 (2002).
78. D. E. Groom et al., Eur. Phys. J. C15, 1 (2000).
79. P. Schupp, J. Trampetic, J. Wess and G. Raffelt, "The photon neutrino interaction in non-commutative gauge field theory and astrophysical bounds," hep-ph/0212292.
80. A. Kokado, T. Okamura and T. Saito, "Noncommutative Hall effect," hepth/0210194.
81. P. Castorina, A. Iorio and D. Zappala, "Noncommutative synchrotron," hepth/0212238.
82. X.-J. Wang and M.-L. Yan, J. High Energy Phys. 03, 047 (2002).
83. H. N. Brown et al., Phys. Rev. Lett. 86, 2227 (2001).
84. A. Czarnecki and W. J. Marciano, Nucl. Phys. Proc. Suppl. 76, 245 (1999).
85. N. Kersting, Phys. Lett. B527, 115 (2002).
86. U. Chattopadhyay, A. Corsetti and P. Nath, "Theoretical status of muon (g - 2)," hep-ph/0202275.
87. A. Anisimov, T. Banks, M. Dine and M. Graesser, Phys. Rev. D65, 085032 (2002).
88. C. D. Lane, "Atomic probes of noncommutative field theory," hep-ph/0201039.
89. L. R. Hunter et al., "A test of local Lorentz invariance using HG and CS magneto-meters," CPT and Lorentz Symmetry (Bloomington 1998), pp. 180-186.
90. D. Bear, R. E. Stoner, R. L. Walsworth, V. A. Kostelecky and C. D. Lane, Phys. Rev. Lett. 85, 5038 (2000).
91. I. Mocioiu, M. Pospelov and R. Roiban, "Limits on the non-commutativity scale," hep-ph/0110011.
92. Z. Guralnik, R. Jackiw, S. Y. Pi and A. P. Polychronakos, Phys. Lett. B517, 450 (2001).
93. H. Falomir, J. Gamboa, M. Loewe, F. Mendez and J. C. Rojas, Phys. Rev. D66, 045018 (2002).
94. E. O. Iltan, New J. Phys. 4, 54 (2002).
95. N. G. Deshpande and X.-G. He, Phys. Lett. B533, 116 (2002).
96. W. Behr et al., "The z to gamma gamma, gg decays in the noncommutative standard model," hep-ph/0202121.
97. K. Greisen, Phys. Rev. Lett. 16, 748 (1966).
98. G. T. Zatsepin and V. A. Kuzmin, JETP Lett. 4, 78 (1966).
99. H. Garcia-Compean, O. Obregon and C. Ramirez, Phys. Rev. Lett. 88, 161301 (2002).
100. R.-G. Cai, Phys. Lett. B517, 457 (2001).
101. S. Alexander and J. Magueijo, "Non-commutative geometry as a realization of varying speed of light cosmology," hep-th/0104093.
102. T. Tamaki, T. Harada, U. Miyamoto and T. Torii, Phys. Rev. D65, 083003 (2002).
103. F. Lizzi, G. Mangano, G. Miele and M. Peloso, J. High Energy Phys. 0206, 049 (2002).
104. F. Aharonian, "TeV gamma rays from the blazar h 1426+428 and the diffuse extragalactic background radiation," astro-ph/0202072.
105. C. E. Carlson and C. D. Carone, Phys. Rev. D65, 075007 (2002).
106. http://tdserver1.fnal.gov/tddoc/DesignStudyReport/upload/PDF/.