Wilson renormalization group for supersymmetric gauge theories and gauge anomalies

Nuclear Physics B

Volumn 532, Issue 1-2, 1998, Pages 473-497

  Bonini, M ^a   Vian, F ^a  

^a Università Degli Studi Di P   (Italy)

Author keywords

Gauge anomalies; Supersymmetric Yang Mills; Wess Zumino model; Wilson renormalization group

Indexed keywords

EID: 0032476512     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(98)00458-1     Document Type: Article

References (45)

1. [1] W. Siegel, Phys. Lett. B 84 (1979) 193.
2. [2] W. Siegel, Phys. Lett. B 94 (1980) 37.
3. [3] For a critical review see, for instance, G. Bonneau, Int. J. Mod. Phys. A 5 (1990) 3831.
4. [4] I. Jack and D.R.T. Jones, Regularization of supersymmetric theories, to appear in Perspectives on Supersymmetry, ed. G. Kane (World Scientific, Singapore), hep-ph/9707278.
5. [5] S.J. Gates, M.T. Grisaru, M. Roček and W. Siegel, Superspace: or One Thousand and One Lessons in Supersymmetry (Benjamin/Cummings, London, 1983).
6. [6] J. Polchinski, Nucl. Phys. B 231 (1984) 269.
7. [7] C. Becchi, On the construction of renormalized quantum field theory using renormalization group techniques, in Elementary particles. Field theory and Statistical mechanics, ed. M. Bonini, G. Marchesini and E. Onofri, Parma University 1993.
8. [8] M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B 409 (1993) 441.
9. [9] C. Wetterich, Phys. Lett. B 301 (1993) 90; T. Morris, Int. J. Mod. Phys. A 9 (1994) 2411.
10. [9] C. Wetterich, Phys. Lett. B 301 (1993) 90; T. Morris, Int. J. Mod. Phys. A 9 (1994) 2411.
11. [10] M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B 421 (1994) 429; B 437 (1995) 163; Phys. Lett. B 346 (1995) 87.
12. [10] M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B 421 (1994) 429; B 437 (1995) 163; Phys. Lett. B 346 (1995) 87.
13. [10] M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B 421 (1994) 429; B 437 (1995) 163; Phys. Lett. B 346 (1995) 87.
14. [11] M. Reuter and C. Wetterich, Nucl. Phys. B 417 (1994) 181.
15. [12] M. Bonini and F. Vian, Nucl. Phys. B 511 (1998) 479.
16. [13] J. Wess and B. Zumino, Phys. Lett. B 49 (1974) 52.
17. [14] S. Ferrara and B. Zumino, Nucl. Phys. B 79 (19413) 79; A. Salam and J. Strathdee, Phys. Lett. B 51 (19353) 74.
18. [14] S. Ferrara and B. Zumino, Nucl. Phys. B 79 (19413) 79; A. Salam and J. Strathdee, Phys. Lett. B 51 (19353) 74.
19. [15] O. Piguet and K. Sibold, Renormalized Supersymmetry, Progress in Physics, Vol. 12 (Birkhäuser, Boston, 1986); O. Piguet, Supersymmetry, Supercurrent, and Scale Invariance, Lectures given at the Catholic University of Petropolis (RJ) and at the CBPF (Rio de Janeiro), September 1995 and July-August 1996, hep-th/9611003.
20. [15] O. Piguet and K. Sibold, Renormalized Supersymmetry, Progress in Physics, Vol. 12 (Birkhäuser, Boston, 1986); O. Piguet, Supersymmetry, Supercurrent, and Scale Invariance, Lectures given at the Catholic University of Petropolis (RJ) and at the CBPF (Rio de Janeiro), September 1995 and July-August 1996, hep-th/9611003.
21. [16] C. Becchi, A. Rouet and R. Stora, Ann. Phys. (NY) 98 (1976) 287; C. Becchi, Lectures on the renormalization of gauge theories, in Relativity, groups and topology II (Les Houches 1983), ed. B.S. DeWitt and R. Stora (Elsevier Science, Amsterdam, 1984).
22. [16] C. Becchi, A. Rouet and R. Stora, Ann. Phys. (NY) 98 (1976) 287; C. Becchi, Lectures on the renormalization of gauge theories, in Relativity, groups and topology II (Les Houches 1983), ed. B.S. DeWitt and R. Stora (Elsevier Science, Amsterdam, 1984).
23. [17] M. D'Attanasio and T.R. Morris, Phys. Lett. B 378 (1996) 213.
24. [18] U. Ellwanger, Phys. Lett. B 335 (1994) 364.
25. [19] O. Piguet and K. Sibold, Nucl. Phys. B 247 (1984) 484.
26. [20] S. Adler and W.A. Bardeen, Phys. Rev. 182 (1969) 1517.
27. [21] L. Bonora, P. Pasti and M. Tonin, Phys. Lett. B 156 (1985) 341; Nucl. Phys. B 261 (1985) 249; B 269 (1986) 745; B 252 (1985) 458.
28. [21] L. Bonora, P. Pasti and M. Tonin, Phys. Lett. B 156 (1985) 341; Nucl. Phys. B 261 (1985) 249; B 269 (1986) 745; B 252 (1985) 458.
29. [21] L. Bonora, P. Pasti and M. Tonin, Phys. Lett. B 156 (1985) 341; Nucl. Phys. B 261 (1985) 249; B 269 (1986) 745; B 252 (1985) 458.
30. [21] L. Bonora, P. Pasti and M. Tonin, Phys. Lett. B 156 (1985) 341; Nucl. Phys. B 261 (1985) 249; B 269 (1986) 745; B 252 (1985) 458.
31. [22] G. Girardi, R. Grimm and R. Stora, Phys. Lett. B 156 (1985) 203.
32. [23] S. Ferrara, L. Girardello, O. Piguet and R. Stora, Phys. Lett. B 157 (1985) 179.
33. [24] B. Zumino, Nucl. Phys. B 89 (1975) 535; P. West, Nucl. Phys. B 106 (1976) 219; M.T. Grisaru, W. Siegel and M. Roček, Nucl. Phys. B 159 (1979) 429.
34. [24] B. Zumino, Nucl. Phys. B 89 (1975) 535; P. West, Nucl. Phys. B 106 (1976) 219; M.T. Grisaru, W. Siegel and M. Roček, Nucl. Phys. B 159 (1979) 429.
35. [24] B. Zumino, Nucl. Phys. B 89 (1975) 535; P. West, Nucl. Phys. B 106 (1976) 219; M.T. Grisaru, W. Siegel and M. Roček, Nucl. Phys. B 159 (1979) 429.
36. [25] I. Jack, D.R.T. Jones and P. West, Phys. Lett. B 258 (1991) 382.
37. [26] J. Wess and B. Zumino, Nucl. Phys. B B78 (191) 74.
38. [27] M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B 444 (1995) 602; R.D. Ball and R.S. Thorne, Ann. Phys. (NY) 241 (1995) 337; M. Pernici, M. Raciti and F. Riva, Nucl. Phys. B 520 (1998) 469.
39. [27] M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B 444 (1995) 602; R.D. Ball and R.S. Thorne, Ann. Phys. (NY) 241 (1995) 337; M. Pernici, M. Raciti and F. Riva, Nucl. Phys. B 520 (1998) 469.
40. [27] M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B 444 (1995) 602; R.D. Ball and R.S. Thorne, Ann. Phys. (NY) 241 (1995) 337; M. Pernici, M. Raciti and F. Riva, Nucl. Phys. B 520 (1998) 469.
41. [28] M.A. Shifman and A.I. Vainshtein, Nucl. Phys. B 277 (1986) 456; B 359 (1991) 571.
42. [28] M.A. Shifman and A.I. Vainshtein, Nucl. Phys. B 277 (1986) 456; B 359 (1991) 571.
43. [29] N. Arkani-Hamed and H. Murayama, Phys. Rev. D 57 (1998) 6638; Holomorphy, rescaling anomalies and exact beta functions in supersymmetric gauge theories, hep-th/9707133.
44. [29] N. Arkani-Hamed and H. Murayama, Phys. Rev. D 57 (1998) 6638; Holomorphy, rescaling anomalies and exact beta functions in supersymmetric gauge theories, hep-th/9707133.
45. [30] S. Falkenberg and B. Geyer, Effective average action in N = 1 super-Yang-Mills theory, hep-th/9802113.