Wilsonian effective actions and the IR/UV mixing in noncommutative gauge theories

Journal of High Energy Physics

Volumn 5, Issue 1, 2001, Pages

  Khoze, Valentin V ^a   Travaglini, Gabriele ^a  

^a DURHAM UNIVERSITY   (United Kingdom)

Author keywords

Gauge Symmetry; Non Commutative Geometry; Supersymmetry and Duality

Indexed keywords

EID: 33744897005     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2001/01/026     Document Type: Article

References (36)

1. A. Connes, M.R. Douglas and A. Schwarz, Noncommutative geometry and matrix theory: compactification on tori, J. High Energy Phys. 02 (1998) 003 [hep-th/9711162].
2. M.R. Douglas and C. Hull, D-branes and the noncommutative torus, J. High Energy Phys. 02 (1998) 008 [hep-th/9711165].
3. N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142].
4. A. Matusis, L. Susskind and N. Toumbas, The IR/UV connection in the noncommutative gauge theories, hep-th/0002075.
5. S. Minwalla, M.V. Raamsdonk and N. Seiberg, Noncommutative perturbative dynamics, hep-th/9912072.
6. T. Filk, Divergencies in a field theory on quantum space, Phys. Lett. B 376 (1996) 53.
7. M.M. Sheikh-Jabbari, Renormalizability of the supersymmetric Yang-Mills theories on the noncommutative torus, J. High Energy Phys. 06 (1999) 015 [hep-th/9903107].
8. 4, Phys. Rev. Lett. 83 (1999) 476 [hep-th/9903077].
9. T. Krajewski and R. Wulkenhaar, Perturbative quantum gauge fields on the noncommutative torus, Int. J. Mod. Phys. A 15 (2000) 1011 [hep-th/9903187].
10. I.Y. Aref'eva, D.M. Belov, A.S. Koshelev and O.A. Rychkov, Renormalizability and UV/IR mixing in noncommutative theories with scalar fields, Phys. Lett. B 487 (2000) 357.
11. 4, Phys. Lett. B 478 (2000) 394 [hep-th/9912094].
12. 4, hep-th/9912167.
13. S. Ferrara and M.A. Lledo, Some aspects of deformations of super symmetric field theories, J. High Energy Phys. 05 (2000) 008 [hep-th/0002084].
14. S. Terashima, A note on superfields and noncommutative geometry, Phys. Lett. B 482 (2000) 276 [hep-th/0002119].
15. 4, Phys. Lett. B 479 (2000) 321 [hep-th/0002171].
16. H.O. Girotti, M. Gomes, V.O. Rivelles and A.J. da Silva, A consistent noncommutative field theory: the Wess-Zumino model, Nucl. Phys. B 587 (2000) 299 [hep-th/0005272].
17. A.A. Bichl, J.M. Grimstrup, H. Grosse, L. Popp, M. Schweda and R. Wulkenhaar, The superfield formalism applied to the noncommutative Wess-Zumino model, J. High Energy Phys. 10 (2000) 046 [hep-th/0007050].
18. A. Armoni, Comments on perturbative dynamics of non-commutative Yang-Mills theory, Nucl. Phys. B 593 (2001) 229 [hep-th/0005208].
19. J. Ambjørn, Y.M. Makeenko, J. Nishimura and R.J. Szabo, Lattice gauge fields and discrete noncommutative Yang-Mills theory, J. High Energy Phys. 05 (2000) 023 [hep-th/0004147].
20. E.T. Akhmedov, P. DeBoer and G.W. Semenoff, Running couplings and triviality of field theories on non-commutative spaces, hep-th/0010003.
21. K.G. Wilson and J. Kogut, The renormalization group and the ∈ expansion, Phys. Rep. 12 (1974) 75.
22. S. Weinberg, Effective gauge theories, Phys. Lett. B 91 (1980) 51.
23. M.E. Peskin and D.V. Schroeder, An introduction to quantum field theory, Addison-Wesley, Reading 1995.
24. W. Siegel, Supersymmetric dimensional regularization via dimensional reduction, Phys. Lett. B 84 (1979) 193.
25. G. 't Hooft, Computation of the quantum effects due to a four-dimensional pseudoparticle, Phys. Rev. D 14 (1976) 3432.
26. N. Seiberg, Supersymmetry and nonperturbative β functions, Phys. Lett. B 206 (1988) 75.
27. V.A. Novikov, M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Exact Gell-Mann-low function of super symmetric Yang-Mills theories from instanton calculus, Nucl. Phys. B 229 (1983) 381.
28. V.A. Novikov, M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Instantons and exact Gell-Mann-low function of supersymmetric O(3) sigma model, Phys. Lett. B 139 (1984) 389.
29. V.A. Novikov, M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, β function in supersymmetric gauge theories: instantons versus traditional approach, Phys. Lett. B 166 (1986) 329.
30. M. Dine and Y. Shirman, Some explorations in holomorphy, Phys. Rev. D 50 (1994) 5389 [hep-th/9405155].
31. N. Arkani-Hamed and H. Murayama, Renormalization group invariance of exact results in supersymmetric gauge theories, Phys. Rev. D 57 (1998) 6638 [hep-th/9705189].
32. N. Arkani-Hamed and H. Murayama, Holomorphy, rescaling anomalies and exact β functions in supersymmetric gauge theories, J. High Energy Phys. 06 (2000) 030 [hep-th/9707133].
33. 4 and (2,0) superconformal six dimensional theory, Comm. Math. Phys. 198 (1998) 689 [hep-th/9802068].
34. A. D'Adda and P.D. Vecchia, Supersymmetry and instantons, Phys. Lett. B 73 (1978) 162.
35. H. Nakajima, Lectures on Hubert schemes of points on surfaces, American Mathematical Society, Providence 1999.
36. N. Dorey, T.J. Hollowood and V.V. Khoze, A brief history of the stringy instanton, hep-th/0010015.