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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Twisted Poincare invariance, noncommutative gauge theories and UV-IR mixing

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Author(s):
Balachandran, A. P. [1] ; Pinzul, A. [2] ; Queiroz, A. R. [3, 4]
Total Authors: 3
Affiliation:
[1] Syracuse Univ, Dept Phys, Syracuse, NY 13244 - USA
[2] Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo - Brazil
[3] Univ Fed Goias, Dept Fis, BR-75700000 Catalao, Go - Brazil
[4] Univ Brasilia, Ctr Int Fis Mat Condensada, Brasilia, DF - Brazil
Total Affiliations: 4
Document type: Journal article
Source: Physics Letters B; v. 668, n. 3, p. 241-245, OCT 9 2008.
Web of Science Citations: 17
Abstract

In the absence of gauge fields, quantum field theories on the Groenewold-Moyal (GM) plane are invariant under a twisted action of the Poincare group if they are formulated following {[}M. Chaichian, P.P. Kulish, K. Nishijima, A. Tureanu, Phys. Lett. B 604 (2004) 98, hep-th/0408069; P. Aschieri, C. Blohmann, M. Dimitrijevic, F. Meyer, P. Schupp, J. Wess, Class. Quantum Grav. 22 (2005) 3511, hep-th/0504183: A.P. Balachandran, A. Pinzul, B.A. Qureshi, S. Vaidya, hep-th/0608138: A.P. Balachandran, A. Pinzul, B.A. Qureshi, S. Vaidya, arXiv: 0708.0069 {[}hep-th]: A.P. Balachandran, A. Pinzul. B.A. Qureshi, S. Vaidya, arXiv: 0708.1379 {[}hep-th]; A.P. Balachandran, A. Pinzul, B.A. Qureshi, arXiv: 0708.1779 {[}hep-th]]. In that formulation, such theories also have no UV-IR mixing {[}A.P. Balachandran, A. Pinzul, B.A. Qureshi, Phys. Lett. B 634 (2006) 434, hep-th/0508151]. Here we investigate UV-IR mixing in gauge theories with matter following the approach of {[}A.P. Balachandran, A. Pinzul, B. A. Qureshi, S. Vaidya, hep-th/0608138; A.P. Balachandran, A. Pinzul, B.A. Qureshi, S. Vaidya, arXiv: 0708.0069 {[}hep-th]]. We prove that there is UV-IR mixing in the one-loop diagram of the S-matrix involving a coupling between gauge and matter fields on the GM plane, the gauge field being non-Abelian. There is no UV-IR mixing if it is Abelian. (c) 2008 Published by Elsevier B.V. (AU)

FAPESP's process: 06/56056-0 - Methods and applications of noncommutative geometry: twisted symmetry and quantum gravity
Grantee:Aleksandr Nikolaievich Pinzul
Support Opportunities: Scholarships in Brazil - Post-Doctoral