摘要: Abstract Using cohomological methods we discuss several issues related to chiral anomalies in noncommutative U ( N ) YM theories any even dimension. We show that for each dimension there is only one solution of the WZ consistency condition and cannot be reducible anomaly, nor mixed anomaly when gauge group a product group. also clarify some puzzling aspects issue fermions are adjoint representation.
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Kenneth A. Intriligator, Jason Kumar, ★-Wars episode I: the phantom anomaly Nuclear Physics. ,vol. 620, pp. 315- 330 ,(2002) , 10.1016/S0550-3213(01)00555-7
A. Tomasiello, M. Schnabl, L. Bonora, A note on consistent anomalies in noncommutative YM theories Physics Letters B. ,vol. 485, pp. 311- 313 ,(2000) , 10.1016/S0370-2693(00)00714-0
M. Hayakawa, Perturbative analysis on infrared and ultraviolet aspects of noncommutative QED on R^4 arXiv: High Energy Physics - Theory. ,(1999)
M. Hayakawa, Perturbative analysis on infrared aspects of noncommutative QED on R^4 arXiv: High Energy Physics - Theory. ,(1999) , 10.1016/S0370-2693(00)00242-2
Bruno Zumino, Yong-Shi Wu, Zee, A, Chiral anomalies, higher dimensions, and differential geometry Nuclear Physics. ,vol. 239, pp. 477- 507 ,(1984) , 10.1016/0550-3213(84)90259-1
E.F. Moreno, F.A. Schaposnik, Wess–Zumino–Witten and fermion models in noncommutative space Nuclear Physics. ,vol. 596, pp. 439- 458 ,(2001) , 10.1016/S0550-3213(00)00702-1
J. Wess, B. Zumino, Consequences of anomalous ward identities Physics Letters B. ,vol. 37, pp. 95- 97 ,(1971) , 10.1016/0370-2693(71)90582-X
Fidel A. Schaposnik, Enrique F. Moreno, The Wess-Zumino-Witten term in non-commutative two-dimensional fermion models Journal of High Energy Physics. ,vol. 2000, pp. 032- 032 ,(2000) , 10.1088/1126-6708/2000/03/032
C P Martín, The UV and IR origin of non-Abelian chiral gauge anomalies on noncommutative Minkowski spacetime Journal of Physics A. ,vol. 34, pp. 9037- 9055 ,(2001) , 10.1088/0305-4470/34/42/320
Jose M. Gracia-Bondia, C.P. Martin, Chiral gauge anomalies on noncommutative R**4 Physics Letters B. ,vol. 479, pp. 321- 328 ,(2000) , 10.1016/S0370-2693(00)00344-0