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Vacuum configurations for renormalizable non-commutative scalar models

Bibliographic reference Marcillaud de Goursac, Axel ; Tanasa, Adrian ; Wallet, Christophe. Vacuum configurations for renormalizable non-commutative scalar models. In: European Physical Journal C. Particles and Fields, Vol. 53, p. 459-466 (2008)
Permanent URL http://hdl.handle.net/2078.1/137077
  1. M. Douglas, N. Nekrasov, Rev. Mod. Phys. 73, 977 (2001)
  2. R.J. Szabo, Phys. Rep. 378, 207 (2003) [hep-th/0109162]
  3. A. Connes, Géometrie non-commutative (InterEditions, Paris, 1990)
  4. A. Connes, M.R. Douglas, A. Schwarz, JHEP 9802, 3 (1998)
  5. N. Seiberg, E. Witten, JHEP 9909, 32 (1999) [hep-th/9908142]
  6. L. Susskind, hep-th/0101029
  7. A.P. Polychronakos, JHEP 06, 70 (2001)
  8. S. Hellerman, M. Van Raamsdonk, JHEP 10, 39 (2001)
  9. H. Grosse, R. Wulkenhaar, Commun. Math. Phys. 254, 91 (2005)
  10. H. Grosse, R. Wulkenhaar, Commun. Math. Phys. 256, 305 (2005)
  11. H. Grosse, R. Wulkenhaar, Lett. Math. Phys. 71, 13 (2005)
  12. V. Rivasseau, F. Vignes-Tourneret, R. Wulkenhaar, Commun. Math. Phys. 262, 565 (2006)
  13. R. Gurau, J. Magnen, V. Rivasseau, F. Vignes-Tourneret, Commun. Math. Phys. 267, 515 (2006) [hep-th/0512271]
  14. R. Gurau, V. Rivasseau, Commun. Math. Phys. 272, 811 (2007) [math-ph/0606030]
  15. R. Gurau, A. Tanasa, submitted to Ann. Inst. Henri Poincare, math-ph/07061147
  16. A. Tanasa, F. Vignes-Tourneret, to be published in J. Noncomm. Geom., math-ph/07074143
  17. H. Grosse, R. Wulkenhaar, hep-th/07090095
  18. A.H. Chamseddine, A. Connes, M. Marcolli, hep-th/0610241
  19. H. Grosse, R. Wulkenhaar, Eur. Phys. J. C 35, 277 (2004) [hep-th/0402093]
  20. M. Disertori, V. Rivasseau, Eur. Phys. J. C 50, 661 (2007) [hep-th/0610224]
  21. M. Disertori, R. Gurau, J. Magnen, V. Rivasseau, Phys. Lett. B 649, 95 (2007) [hep-th/0612251]
  22. Rivasseau V., From Perturbative to Constructive Renormalization : , ISBN:9781400862085, 10.1515/9781400862085
  23. V. Rivasseau, hep-th/07061224
  24. J. Magnen, V. Rivasseau, math-ph/07062457
  25. B.A. Campbell, K. Kaminsky, Nucl. Phys. B 606, 613 (2001) [hep-th/0102022]
  26. B.A. Campbell, K. Kaminsky, Nucl. Phys. B 581, 240 (2000) [hep-th/0003137]
  27. F. Ruiz Ruiz, Nucl. Phys. B 637, 143 (2002) [hep-th/0202011]
  28. Y. Liao, Nucl. Phys. B 635, 505 (2002) [hep-th/0204032]
  29. F.J. Petriello, Nucl. Phys. B 601, 169 (2001) [hep-th/0101109]
  30. S.S. Gubser, S.L. Sondhi, Nucl. Phys. B 605, 395 (2001) [hep-th/0006119]
  31. H.O. Girotti, M. Gomes, A.Y. Petrov, V.O. Rivelles, A.J. da Silva, Phys. Rev. D 67, 125003 (2003) [hep-th/0207220]
  32. P. Castorina, D. Zappala, Phys. Rev. D 68, 065008 (2003) [hep-th/0303030]
  33. J.M. Gracia-Bondia, J.C. Varilly, J. Math. Phys. 29, 869 (1988)
  34. J.C. Varilly, J.M. Gracia-Bondia, J. Math. Phys. 29, 880 (1988)
  35. Grossmann A., Loupias Guy, Stein Elias M., An algebra of pseudo-differential operators and quantum mechanics in phase space, 10.5802/aif.305
  36. R. Wulkenhaar, J. Geom. Phys. 56, 108 (2006)
  37. J.C. Wallet, hep-th/07082471, to be published in J. Phys. Conf. Series
  38. A. de Goursac, J.C. Wallet, R. Wulkenhaar, Eur. Phys. J. C 51, 977 (2007) [hep-th/0703075]
  39. H. Grosse, M. Wohlgenannt, [hep-th/0703169]
  40. A. de Goursac, to be published in J. Phys. Conf. Series, hep-th/0710162
  41. H. Grosse, R. Wulkenhaar, JHEP 0312, 019 (2003) [hep-th/0307017]
  42. E. Langmann, R.J. Szabo, Phys. Lett. B 533, 168 (2002) [hep-th/0202039]
  43. E. Langmann, R.J. Szabo, K. Zarembo, JHEP 0401, 17 (2004)
  44. F. Vignes-Tourneret, Ann. Inst. Henri Poincare 8, 427 (2007) [math-ph/0606069]
  45. A. Lakhoua, F. Vignes-Tourneret, J.C. Wallet, Eur. Phys. J. C 52, 735 (2007) [hep-th/0701170]
  46. V. Rivasseau, A. Tanasa, submitted to Commun. Math. Phys. [math-ph/0701034]
  47. A. Tanasa, to be published in J. Phys. Conf. Series, math-ph/07092270
  48. R. Gurau, A.P.C. Malbouisson, V. Rivasseau, A. Tanasa, Lett. Math. Phys. 81, 161 (2007) [math-ph/07053437]
  49. V. Rivasseau, hep-th/07050705