Quantum fields on the groenewold-moyal plane: C, P, T and CPT

Journal of High Energy Physics

Volumn 2007, Issue 8, 2007, Pages

  Akofor, Earnest ^a   Balachandran, Aiyalam P ^a   Jo, Sang G ^a,b   Joseph, Anosh ^a  

^a SYRACUSE UNIVERSITY   (United States)

^b Kyungpook National University   (South Korea)

Author keywords

Discrete and finite symmetries; QCD; Space time symmetries

Indexed keywords

EID: 77953277937     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/08/045     Document Type: Article

References (21)

1. V.G. Drinfeld, Quasi-Hopf algebras, Leningrad Math. J. 1 (1990) 1419.
2. d and the equivalence of quantum field theories, Nucl. Phys.B 581 (2000) 559[hep-th/0003018].
3. M. Chaichian, P.P. Kulish, K. Nishijima and A. Tureanu, On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative QFT,Phys. Lett.B 604 (2004) 98[hep-th/0408069].
4. P. Aschieri et al., A gravity theory on noncommutative spaces, Class, and Quant. Grav. 22 (2005) 3511[hep-th/0504183].
5. M. Dimitrijevic and J. Wess, Deformed bialgebra of diffeomorphisms, [hep-th/0411224].
6. M. Chaichian, P. Prešnajder and A. Tureanu, New concept of relativistic invariance in NC space-time: twisted Poincaré symmetry and its implications,Phys. Rev. Lett. 94 (2005) 151602[hep-th/0409096].
7. A.P. Balachandran, G. Mangano, A. Pinzul and S. Vaidya, Spin and statistics on the Groenwald-Moyal plane: Pauli-forbidden levels and transitions, Int. J. Mod. Phys. A 21 (2006) 3111[hep-th/0508002].
8. A.P. Balachandran, A. Pinzul and BA. Qureshi, UV-IR mixing in non-commutative plane,Phys. Lett.B 634 (2006) 434[hep-th/0508151].
9. A.P. Balachandran et al., Statistics and UV-IR mixing with twisted Poincaré invariance,Phys. Rev. D 75 (2007) 045009 [hep-th/0608179].
10. O.W. Greenberg, Why is CPT fundamental?, Found. Phys. 36 (2006) 1535 [hep-ph/0309309].
11. M.M. Sheikh-Jabbari, Discrete symmetries (C, P, T) in noncommutative field theories,Phys. Rev. Lett. 84 (2000) 5265[hep-th/0001167].
12. L. Álvarez-Gaumé and M.A. Vázquez-Mozo, General properties of noncommutative field theories, Nucl. Phys. B 668 (2003) 293[hep-th/0305093].
13. H. Grosse, On the construction of Möller operators for the nonlinear Schrödinger equation,Phys. Lett. B 86 (1979) 267.
14. A.B. Zamolodchikov and A.B. Zamolodchikov, Factorized s-matrices in two dimensions as the exact solutions of certain relativistic quantum field models, Ann. Phys. (NY) 120 (1979) 253;
15. L.D. Faddeev, Quantum completely integrable models infield theory, Sov. Sci. Rev. Math. Phys. C 1 (1980) 107.
16. A.P. Balachandran, A.M. Marques, A.R. Queiroz and P. Teotonio-Sobrinho, Twisted Kac-Moody and Virasoro algebras, J. Phys. A 40 (2007) 7789[hep-th/0608081].
17. G. Luders, On the equivalence invariance under time reversal and under particle-anti-particle conjugation for relativistic field theories, Mat. Fys. Medd. Kongl. Dansk. Vid. Selsk. 28 (1954) 5;
18. W. Pauli, Niels Bohr and the development of physics, W. Pauli (ed.), Pergamon Press, New York (1955).
19. B.A. Qureshi and S. Vaidya, Poincaré invariant gauge and gravity theories on the Groenewold-Moyal plane[hep-th/0608138]
20. A. P. Balachandran, A. Pinzul and A. R. Queiroz, in preparation.
21. A.P. Balachandran, T.R. Govindarajan, C. Molina and P. Teotónio-Sobrinho, Unitary quantum physics with time-space noncommutativity,JHEP 10 (2004) 072[hep-th/0406125].