Effective field theories on noncommutative space-time

Physical Review D

Volumn 68, Issue 2, 2003, Pages

  Calmet, Xavier ^a   Wohlgenannt, Michael ^b  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; ENERGY; GEOMETRY; MATHEMATICAL MODEL; QUANTUM MECHANICS; SPACE; TECHNIQUE; THEORY;

EID: 0041836320     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.68.025016     Document Type: Article

References (44)

1. Letter of Heisenberg to Peierls (1930), Wolfgang Pauli, Scientific Correspondence, edited by Karl von Meyenn (Springer-Verlag, Berlin, 1985), Vol. II, p. 15.
2. Letter of Pauli to Oppenheimer (1946), Wolfgang Pauli, Sci-entific Correspondence, edited by Karl von Meyenn (Springer-Verlag, Berlin, 1993), Vol. III, p. 380.
3. H.S. Snyder, Phys. Rev. 71, 38 (1947).
4. J. Wess, "Nonabelian Gauge Theories on Noncommutative Spaces," talk given at the 10th International Conference on Supersymmetry and Unification of Fundamental Interactions (SUSY02), Hamburg, Germany, 2002.
5. V. Schomerus, J. High Energy Phys. 06, 030 (1999).
6. L.J. Garay, Int. J. Mod. Phys. A 10, 145 (1995).
7. M. Wohlgenannt, plenary talk at XIV International Hutsulian Workshop, Chernivtsi, Ukraine, 2002, hep-th/0302070.
8. J.E. Moyal, Proc. Cambridge Philos. Soc. 45, 99 (1949).
9. M.R. Douglas and N.A. Nekrasov, Rev. Mod. Phys. 73, 977 (2001).
10. M. Hayakawa, Phys. Lett. B 478, 394 (2000).
11. M. Hayakawa, hep-th/9912167.
12. J. Madore, S. Schraml, P. Schupp, and J. Wess, Eur. Phys. J. C 16, 161 (2000).
13. B. Jurco, S. Schraml, P. Schu and J. Wess, Eur. Phys. J. C 17, 521 (2000).
14. B. Jurco, L. Moller, S. Schraml, P. Schu and J. Wess, Eur. Phys. J. C 21, 383 (2001).
15. X. Calmet, B. Jurco, P. Schu J. Wess, and M. Wohlgenannt, Eur. Phys. J. C 23, 363 (2002).
16. A. Bichl, J. Grimstrup, H. Grosse, L. Popp, M. Schweda, and R. Wulkenhaar, J. High Energy Phys. 06, 013 (2001).
17. A.A. Bichl, J.M. Grimstrup, L. Popp, M: Schweda, and R. Wulkenhaar, hep-th/0102103.
18. N. Seiberg and E. Witten, J. High Energy Phys. 09, 032 (1999).
19. I. Hinchliffe and N. Kersting, hep-ph/0205040;
20. Phys. Rev. D 64, 116007 (2001).
21. Z. Chang and Z.Z. Xing, Phys. Rev. D 66, 056009 (2002).
22. J.L. Hewett, F.J. Petriello, and T.G. Rizzo, Phys. Rev. D 64, 075012 (2001).
23. C.E. Carlson, C.D. Carone, and R.F. Lebed, Phys. Lett. B 518, 201 (2001).
24. I. Mocioiu, M. Pospelov, and R. Roiban, Phys. Lett. B 489, 390 (2000);
25. A. Anisimov, T. Banks, M. Dine, and M. Graesser, Phys. Rev. D 65, 085032 (2002).
26. C.P. Martin, Nucl. Phys. B652, 72 (2003).
27. S.M. Carroll, J.A. Harvey, V.A. Kostelecky, C.D. Lane, and T. Okamoto, Phys. Rev. Lett. 87, 141601 (2001).
28. C.E. Carlson, C.D. Carone, and N. Zobin, Phys. Rev. D 66, 075001 (2002).
29. K. Monta, Prog. Theor. Phys. 108, 1099 (2003).
30. H. Kase, K. Monta, Y. Okumura, and E. Umezawa, Prog. Theor. Phys. 109, 663 (2003).
31. M. Kontsevich, q-alg/9709040.
32. A.S. Cattaneo and G. Felder, Commun. Math. Phys. 212, 591 (2000).
33. B. Jurco, P. Schupp, and J. Wess, Nucl. Phys. B584, 784 (2000);
34. see also B.L. Cerchiai, hep-th/0304030.
35. V. Kathotia, "Kontsevich's universal formula for deformation quantization and the Campbell-Baker-Hausdorff formula, I," math.QA/9811174.
36. G. Dito, Lett. Math. Phys. 48, 307 (1999).
37. C.N. Yang and R.L. Mills, Phys. Rev. 96, 191 (1954).
38. L. Cornalba and R. Schiappa, Commun. Math. Phys. 225, 33 (2002).
39. A. Hashimoto and S. Sethi, Phys. Rev. Lett. 89, 261601 (2002).
40. L. Dolan and C.R. Nappi, Phys. Lett. B 551, 369 (2003).
41. D.A. Lowe, H. Nastase, and S. Ramgoolam, hep-th/0303173.
42. J. Lukierski, H. Ruegg, A. Nowicki, and V.N. Tolstoi, Phys. Lett. B 264, 331 (1991).
43. S. Majid and H. Ruegg, Phys. Lett. B 334, 348 (1994).
44. H. Weyl, Z. Phys. 46, 1 (1927).