Anomaly freedom in seiberg-witten noncommutative gauge theories

Journal of High Energy Physics

Volumn 7, Issue 7, 2003, Pages 1633-1658

  Brandt, Friedemann ^a   Martín, Carmelo P ^b   Ruiz, Fernando Ruiz ^b  

^a MAX PLANCK INSTITUTE FOR MATHEMATICS IN THE SCIENCES   (Germany)

^b UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

Anomalies in Field and String Theories; BRST Symmetry

Indexed keywords

EID: 23144450390     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2003/07/068     Document Type: Article

References (28)

1. J. Madore, S. Schraml, P. Schupp and J. Wess, Gauge theory on noncommutative spaces, Eur. Phys. J. C 16 (2000) 161 [hep-th/0001203].
2. B. Jurco, S. Schraml, P. Schupp and J. Wess, Enveloping algebra valued gauge transformations for non-abelian gauge groups on non-commutative spaces, Eur. Phys. J. C 17 (2000) 521 [hep-th/0006246].
3. N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142].
4. B. Jurco, P. Schupp and J. Wess, Nondbelian noncommutative gauge theory via noncommutative extra dimensions, Nucl. Phys. B 604 (2001) 148 [hep-th/0102129].
5. B. Jurco, L. Moller, S. Schraml, P. Schupp and J. Wess, Construction of non-abelian gauge theories on noncommutative spaces, Eur. Phys. J. C 21 (2001) 383 [hep-th/0104153].
6. X. Calmet, B. Jurco, P. Schupp, J. Wess and M. Wohlgenannt, The standard model on non-commutative space-time, Eur. Phys. J. C 23 (2002) 363 [hep-ph/0111115].
7. S.M. Carroll, J.A. Harvey, V.A. Kostelecky, C.D. Lane and T. Okamoto, Noncommutative field theory and Lorentz violation, Phys. Rev. Lett. 87 (2001) 141601 [hep-th/0105082].
8. C.E. Carlson, C.D. Carone and R.F. Lebed, Bounding noncommutative QCD, Phys. Lett. B 518 (2001) 201 [hep-ph/0107291].
9. W. Behr et al., The z→ yy, gg decays in the noncommutative standard model, hep-ph/0202121.
10. C.E. Carlson, C.D. Carone and R.F. Lebed, Supersymmetric noncommutative QED and Lorentz violation, Phys. Lett. B 549 (2002) 337 [hep-ph/0209077].
11. P. Schupp, J. Trampetic, J. Wess and G. Raffelt, The photon neutrino interaction in non-commutative gauge field theory and astrophysical bounds, hep-ph/0212292.
12. P. Minkowski, P. Schupp and J. Trampetic, Non-commutative '*-charge radius' and '*-dipole moment' of the neutrino, hep-th/0302175.
13. P. Aschieri, B. Jurco, P. Schupp and J. Wess, Non-commutative GUTs, standard model and C, P, T, Nucl. Phys. B 651 (2003) 45 [hep-th/0205214].
14. G. Barnich and M. Henneaux, Renormalization of gauge invariant operators and anomalies in Yang-Mills theory, Phys. Rev. Lett. 72 (1994) 1588 [hep-th/9312206].
15. G. Barnich, F. Brandt and M. Henneaux, Local ERST cohomology in the antifield formalism, 2. Application to Yang-Mills theory, Commun. Math. Phys. 174 (1995) 93 [hep-th/9405194].
16. G. Barnich, F. Brandt and M. Henneaux, Local BRST cohomology in gauge theories, Phys. Rept. 338 (2000) 439 [hep-th/0002245].
17. R. Wulkenhaar, Non-renormalizability of theta-expanded noncommutative QED, J. High Energy Phys. 03 (2002) 024 [hep-th/0112248].
18. C.P. Martin, The gauge anomaly and the Seiberg-Witten map, Nucl. Phys. B 652 (2003) 72 [hep-th/0211164].
19. R. Banerjee and S. Ghosh, Seiberg-Witten map and the axial anomaly in noncommutative field theory, Phys. Lett. B 533 (2002) 162 [hep-th/0110177].
20. R. Banerjee, Anomalies in noncommutative gauge theories, Seiberg-Witten transformation and Ramond-Ramond couplings, hep-th/0301174.
21. B.L. Cerchiai, A.F. Pasqua and B. Zumino, The Seiberg-Witten map for noncommutative gauge theories, hep-th/0206231.
22. P. Breitenlohner and D. Maison, Dimensional renormalization and the action principle, Commun. Math. Phys. 52 (1977) 11.
23. G. Barnich, F. Brandt and M. Grigoriev, Seiberg-Witten maps and noncommutative Yang-Milb theories for arbitrary gauge groups, J. High Energy Phys. 08 (2002) 023 [hep-th/0206003].
24. H. Georgi and S.L. Glashow, Gauge theories without anomalies, Phys. Rev. D 6 (1972) 429.
25. 4, Phys. Lett. B 479 (2000) 321 [hep-th/0002171].
26. L. Bonora, M. Schnabl and A. Tomasiello, A note on consistent anomalies in noncommutative YM theories, Phys. Lett. B 485 (2000) 311 [hep-th/0002210].
27. D.J. Gross and R. Jackiw, Effect of anomalies on quasirenormalizable theories, Phys. Rev. D 6 (1972) 477.
28. F. Brandt, N. Dragon and M. Kreuzer, Completeness and nontriviality of the solutions of the consistency conditions, Nucl. Phys. B 332 (1990) 224.