Renormalization of non-commutative Φ44field theory in x space

Communications in Mathematical Physics

Volumn 267, Issue 2, 2006, Pages 515-542

  Gurau, Razvan ^a   Magnen, Jacques ^b   Rivasseau, Vincent ^a   Vignes Tourneret, Fabien ^a  

^a UNIVERSITÉ PARIS SUD   (France)

^b CENTRE DE PHYSIQUE THÉORIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33747852263     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-006-0055-8     Document Type: Article

References (18)

1. Grosse, H., Wulkenhaar, R.: Power-counting theorem for non-local matrix models and renormalisation. Commun. Math. Phys. 254(1), 91-127 (2005)
2. 4 in the matrix base. Commun. Math. Phys. 256(2), 305-374 (2005)
3. 4-theory by multi- scale analysis. Commun. Math. Phys. 262, 565-594 (2006)
4. Langmann, E., Szabo, R.J., Zarembo, K.: Exact solution of quantum field theory on noncommutative phase spaces. JHEP 01, 017 (2004)
5. Filk, T.: Divergencies in a field theory on quantum space. Phys. Lett. B376, 53-58 (1996)
6. Chepelev, I., Roiban, R.: Convergence theorem for non-commutative Feynman graphs and renormalization. JHEP 03, 001 (2001)
7. d Seniors. JHEP 05, 037 (2000)
8. Langmann, E., Szabo, R.J.: Duality in scalar field theory on noncommutative phase spaces. Phys. Lett. B533, 168-177 (2002)
9. Douglas, M.R., Nekrasov, N.A.: Noncommutative field theory. Rev. Mod. Phys. 73, 977-1029 (2001)
10. Connes, A., Douglas, M.R., Schwarz, A.: Noncommutative geometry and matrix theory: Compactification on tori. JHEP 02, 003(1998)
11. Seiberg, N., Witten, E.: String theory and noncommutative geometry. JHEP 09, 032 (1999)
12. Vignes-Tourneret, F.: Perturbative renormalizability of the noncommutative Gross-Neveu model. Work in progress
13. 4-theory. Eur. Phys. J. C35, 277-282 (2004)
14. Rivasseau, V., Vignes-Tourneret, F.: Non-commutative renormalization. To appear in the Proceedings of Rigorous Quantum Field Theory: A Symposium in Honor of Jacques Bros, Paris, France, 19-21 Jul 2004 (2004), Available at http://www.arXiv.org/list/hep-th/0409312, 2004
15. Gurau, R., Rivasseau, V., Vignes-Tourneret, F.: Propagators for noncommutative field theories. http://www.arXiv.org/list/hep-th/0512071, 2005. To appear in accepleded by Ann. H. Poincaré
16. Rivasseau, V.: From Perturbative to Constructive Renormalization. Princeton Series in Physics. Princeton, NJ: Princeton University Press, 1991, 336 pp.
17. Gallavotti, G., Nicolò, F.: Renormalization theory in four-dimensional scalar fields, i. Commun. Math. Phys. 100, 545-590 (1985)
18. Langmann, E.: Interacting fermions on noncommutative spaces: Exactly solvable quantum field theories in 2n+1 dimensions. Nucl. Phys. B654, 404-426 (2003)