Numerical results for U(1) gauge theory on 2d and 4d non-commutative spaces

Fortschritte der Physik

Volumn 53, Issue 5-6, 2005, Pages 418-425

  Bietenholz, W ^a   Bigarini, A ^b   Hofheinz, F ^a   Nishimura, J ^c   Susaki, Y ^c,d   Volkholz, J ^a  

^a HUMBOLDT UNIVERSITY   (Germany)

^b UNIVERSITY OF PERUGIA   (Italy)

^c HIGH ENERGY ACCELERATOR RESEARCH ORGANIZATION KEK   (Japan)

^d UNIVERSITY OF TSUKUBA   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 19844370621     PISSN: 00158208     EISSN: None     Source Type: Journal    
DOI: 10.1002/prop.200510199     Document Type: Conference Paper

References (43)

1. R. Peierls, Z. Phys. 80, 763 (1933).
2. N. Seiberg and E. Witten, JHEP 09, 032 (1999).
3. R. J. Szabo, Phys. Rep. 378, 207 (2003).
4. A. González-Arroyo and M. Okawa, Phys. Rev. 27D, 2397 (1983).
5. H. Aoki, N. Ishibashi, S. Iso, H. Kawai, Y. Kitazawa, and T. Tada, Nucl. Phys. B 565, 176 (2000).
6. J. Ambjørn, Y. M. Makeenko, J. Nishimura, and R. J. Szabo, JHEP 11, 29 (1999);
7. Phys. Lett. B 480, 399 (2000);
8. JHEP 05, 023 (2000).
9. N. Ishibashi, S. Iso, H. Kawai, and Y. Kitazawa, Nucl. Phys. B 573, 573 (2000).
10. J. Ambjørn, A. Dubin, and Y. Makeenko, JHEP 0407, 044 (2004).
11. A. Bassetto, G. Nardelli, and A. Torrielli, Nucl. Phys. B 617 (2001) 308;
12. Phys. Rev. D 66, 085012 (2002).
13. A. Bassetto, G. De Pol, and F. Vian, JHEP 0306, 051 (2003).
14. L. Griguolo, D. Seminara, and P. Valtancoli, JHEP 0112, 024 (2001).
15. L. D. Paniak and R. J. Szabo, Commun. Math. Phys. 243 (2003) 343;
16. JHEP 0305, 029 (2003).
17. A. Bassetto and F. Vian, JHEP 0210, 004 (2002).
18. H. Dorn and A. Torrielli, JHEP 0401, 026 (2004).
19. D. J. Gross and E. Witten, Phys. Rev. D 21, 446 (1980).
20. T. Eguchi and H. Kawai, Phys. Rev. Lett. 48, 1063 (1982).
21. T. Nakajima and J. Nishimura, Nucl. Phys. B 528, 355 (1998).
22. W. Bietenholz, F. Hofheinz, and J. Nishimura, JHEP 09, 9 (2002).
23. S. Minwalla, M. van Raamsdonk, and N. Seiberg, JHEP 02, 020 (2000).
24. S.S. Gubser and S.L. Sondhi, Nucl. Phys. B 605, 395 (2001).
25. G.-H. Chen and Y.-S. Wu, Nucl. Phys. B 622, 189 (2002).
26. P. Castorina and D. Zappalà, Phys. Rev. D 68, 065008 (2003).
27. W. Bietenholz, F. Hofheinz, and J. Nishimura, JHEP 0405, 047 (2004).
28. W. Bietenholz, F. Hofheinz, and J. Nishimura, Nucl. Phys. (Proc. Suppl.) 119, 941 (2003);
29. Fortschr. Phys. 51, 745 (2003):
30. Acta Phys. Pol. B 34 (2003) 4711 ;
31. JHEP 06, 42 (2004).
32. J. Ambjørn and S. Catterall, Phys. Lett. B 549, 253 (2002).
33. M. Hayakawa, hep-th/9912167.
34. A. Matusis, L. Susskind, and N. Toumbas, JHEP 12, 2 (2000).
35. F. Ruiz Ruiz, Phys. Lett. B 502, 274 (2001).
36. M. van Raamsdonk, JHEP 0111, 006 (2001).
37. K. Landsteiner, E. Lopez, and M.H. Tytgat, JHEP 0106, 055 (2001).
38. A. Armoni and E. Lopez, Nucl. Phys. B 632, 240 (2002).
39. Z. Guralnik, R.C. Helling, K. Landsteiner, and E. Lopez, JHEP 0205, 025 (2002).
40. K. Fabricius and O. Haan, Phys. Lett. B 143, 459 (1984).
41. Y. Susaki, private notes.
42. S. Profumo and E. Vicari, JHEP 0205 (2002) 014.
43. W. Bietenholz, F. Hofheinz, J. Nishimura, Y. Susaki, and J. Volkholz, hep-lat/0409059.