Perturbative analysis on infrared and ultraviolet aspects of noncommutative QED on R^4

作者: M. Hayakawa

DOI:

关键词:

摘要: Here we discuss the ultraviolet and infrared aspects of noncommutative counterpart QED, which is called as well some dynamics Yang-Mills (NCYM) theory. First demonstrate that divergence in theory can be subtracted by similar counterterms ordinary at one loop level. Then anomalous magnetic moment calculated to see aspect reflects violation Lorentz symmetry. The evaluation finite part photon vacuum polarization shows logarithmically singular term limit appears with same weight UV logarithmic divergence, showing correlation between NCYM NC-QED does not show such a property. We also consider extension chiral gauge present context, but requirement anomaly cancellation allows only QED.

参考文章(16)
Alexander Markovich Polyakov, Gauge fields and strings ,(1987)
A. Gonzalez-Arroyo, M. Okawa, A twisted model for large N lattice gauge theory Physics Letters B. ,vol. 120, pp. 174- 178 ,(1983) , 10.1016/0370-2693(83)90647-0
Miao Li, Strings from IIB matrices Nuclear Physics. ,vol. 499, pp. 149- 158 ,(1997) , 10.1016/S0550-3213(97)00353-2
Claude Itzykson, Jean Bernard Zuber, Quantum Field Theory ,(1980)
Thomas Filk, Divergencies in a field theory on quantum space Physics Letters B. ,vol. 376, pp. 53- 58 ,(1996) , 10.1016/0370-2693(96)00024-X
Tohru Eguchi, Hikaru Kawai, Reduction of Dynamical Degrees of Freedom in the Large-NGauge Theory Physical Review Letters. ,vol. 48, pp. 1063- 1066 ,(1982) , 10.1103/PHYSREVLETT.48.1063
D. Bigatti, L. Susskind, Magnetic fields, branes, and noncommutative geometry Physical Review D. ,vol. 62, pp. 066004- ,(2000) , 10.1103/PHYSREVD.62.066004
Mohsen Alishahiha, Yaron Oz, Mohammad M. Sheikh-Jabbari, Supergravity and large N noncommutative field theories Journal of High Energy Physics. ,vol. 1999, pp. 007- 007 ,(1999) , 10.1088/1126-6708/1999/11/007
T. Banks, W. Fischler, S. H. Shenker, L. Susskind, M theory as a matrix model: A conjecture Physical Review D. ,vol. 55, pp. 5112- 5128 ,(1997) , 10.1103/PHYSREVD.55.5112