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

Autor(es)

Balachandran, A. P. ^[1] ; Pinzul, A. ^[2] ; Queiroz, A. R. ^{[3, 4]}

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Physics Letters B; v. 668, n. 3, p. 241-245, OCT 9 2008.
• Citações Web of Science: 17

Resumo

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)

• Processo FAPESP: 06/56056-0 - Methods and applications of noncommutative geometry: twisted symmetry and quantum gravity
• Beneficiário: Aleksandr Nikolaievich Pinzul
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado