New concept of relativistic invariance in noncommutative space-time: Twisted Poincaré symmetry and its implications

Physical Review Letters

Volumn 94, Issue 15, 2005, Pages

  Chaichian, M ^a   Presnajder P ^a   Tureanu, A ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

HAAG'S THEOREM; SPACE TIME SYMMETRY; SPIN STATISTICS THEOREMS; TWISTED POINCARÉ SYMMETRY;

ALGEBRA; DEGREES OF FREEDOM (MECHANICS); FUNCTIONS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; THEOREM PROVING;

QUANTUM THEORY;

EID: 18144412427     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.94.151602     Document Type: Article

References (25)

1. N. Seiberg and E. Witten, J. High Energy Phys. 09 (1999) 032.
2. S. Doplicher, K. Fredenhagen, and J.E. Roberts, Commun. Math. Phys. 172, 187 (1995).
3. M. R. Douglas and N. A. Nekrasov, Rev. Mod. Phys. 73, 977 (2001); R. J. Szabo, Phys. Rep. 378, 207 (2003).
4. M. R. Douglas and N. A. Nekrasov, Rev. Mod. Phys. 73, 977 (2001); R. J. Szabo, Phys. Rep. 378, 207 (2003).
5. N. Seiberg, L. Susskind, and N. Toumbas, J. High Energy Phys. 06 (2000) 044; L. Álvarez-Gaumé and J. L. F. Barbon, Int. J. Mod. Phys. A 16, 1123 (2001).
6. N. Seiberg, L. Susskind, and N. Toumbas, J. High Energy Phys. 06 (2000) 044; L. Álvarez-Gaumé and J. L. F. Barbon, Int. J. Mod. Phys. A 16, 1123 (2001).
7. M. Chaichian, K. Nishijima, and A. Tureanu, Phys. Lett. B 568, 146 (2003).
8. J. Gomis and T. Mehen, Nucl. Phys. B 591, 265 (2000);
9. L. Álvarez-Gaumé and M. A. Vázquez-Mozo, Nucl. Phys. B668, 293 (2003).
10. M. Chaichian, P. P. Kulish, K. Nishijima, and A. Tureanu, Phys. Lett. B 604, 98 (2004).
11. M. Chaichian, M. N. Mnatsakanova, K. Nishijima, A. Tureanu, and Yu. S. Vernov, hep-th/0402212.
12. R. Haag, Dan. Mat. Fys. Medd. 29, 12 (1955).
13. M. Chaichian and A. Demichev, Quantum Groups (World Scientific, Singapore, 1996); V. Chari and A. Pressley, A Guide to Quantum Groups (Cambridge University Press, Cambridge, 1994).
14. M. Chaichian and A. Demichev, Quantum Groups (World Scientific, Singapore, 1996); V. Chari and A. Pressley, A Guide to Quantum Groups (Cambridge University Press, Cambridge, 1994).
15. J. Wess, hep-th/0408080.
16. M. Chaichian and A. Tureanu, hep-th/0403032.
17. V. S. Vladimirov, Sov. Math. Dokl. 1, 1039 (1960); Methods of the Functions of Several Complex Variables (MIT Press, Cambridge, MA, 1966); D. Ya. Petrina, Ukr. Mat. Zh. 13, No. 4 109 (1961) (in Russian); A.S. Wightman, J. Indian Math. Soc. 24, 625 (1960).
18. V. S. Vladimirov, Sov. Math. Dokl. 1, 1039 (1960); Methods of the Functions of Several Complex Variables (MIT Press, Cambridge, MA, 1966); D. Ya. Petrina, Ukr. Mat. Zh. 13, No. 4 109 (1961) (in Russian); A.S. Wightman, J. Indian Math. Soc. 24, 625 (1960).
19. V. S. Vladimirov, Sov. Math. Dokl. 1, 1039 (1960); Methods of the Functions of Several Complex Variables (MIT Press, Cambridge, MA, 1966); D. Ya. Petrina, Ukr. Mat. Zh. 13, No. 4 109 (1961) (in Russian); A.S. Wightman, J. Indian Math. Soc. 24, 625 (1960).
20. V. S. Vladimirov, Sov. Math. Dokl. 1, 1039 (1960); Methods of the Functions of Several Complex Variables (MIT Press, Cambridge, MA, 1966); D. Ya. Petrina, Ukr. Mat. Zh. 13, No. 4 109 (1961) (in Russian); A.S. Wightman, J. Indian Math. Soc. 24, 625 (1960).
21. P.G. Federbush and K. A. Johnson, Phys. Rev. 120, 1926 (1960); R. Jost, Properties of Wightman Functions, edited by E. R. Caianiello, Lectures on Field Theory and Many-Body Problem (Academic Press, New York, 1961); O. W. Greenberg, Phys. Rev. 115, 706 (1959).
22. P.G. Federbush and K. A. Johnson, Phys. Rev. 120, 1926 (1960); R. Jost, Properties of Wightman Functions, edited by E. R. Caianiello, Lectures on Field Theory and Many-Body Problem (Academic Press, New York, 1961); O. W. Greenberg, Phys. Rev. 115, 706 (1959).
23. P.G. Federbush and K. A. Johnson, Phys. Rev. 120, 1926 (1960); R. Jost, Properties of Wightman Functions, edited by E. R. Caianiello, Lectures on Field Theory and Many-Body Problem (Academic Press, New York, 1961); O. W. Greenberg, Phys. Rev. 115, 706 (1959).
24. R. F. Streater and A. S. Wightman, PCT, Spin and Statistics, and All That (W.A. Benjamin, Inc., New York, 1964); N. N. Bogoliubov, A. A. Logunov, and I. T. Todorov, Introduction to Axiomatic Quantum Field Theory (W. A. Benjamin, Inc., New York, 1975).
25. R. F. Streater and A. S. Wightman, PCT, Spin and Statistics, and All That (W.A. Benjamin, Inc., New York, 1964); N. N. Bogoliubov, A. A. Logunov, and I. T. Todorov, Introduction to Axiomatic Quantum Field Theory (W. A. Benjamin, Inc., New York, 1975).