On the Borchers class of a non-commutative field

Journal of Physics A: Mathematical and General

Volumn 38, Issue 25, 2005, Pages 5799-5807

  Franco, Daniel H T ^a  

^a FEDERAL UNIVERSITY OF ESPÍRITO SANTO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21244445848     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/38/25/014     Document Type: Article

References (23)

1. Álvarez-Gaumé L and Vázquez-Mozo M A 2003 General properties of non-commutative field theories Nucl. Phys. B 668 293
2. Chaichian M, Mnatsakanova M N, Nishijima K, Tureanu A and Vernov Yu S 2004 Towards an axiomatic formulation of noncommutative quantum field theory Preprint hep-th/0402212
3. Franco D H T and Polito C M M 2004 A new derivation of the CPT and spin-statistics theorems in non-commutative field theories Preprint hep-th/0403028 (J. Math. Phys. at press)
4. Lücke W 1979 PCT, spin and statistics, and all that for nonlocal wightman fields Commun. Math. Phys. 65 77
5. Lücke W 1984 Spin-statistics theorem for fields with arbitrary high energy behavior Acta Phys. Austr. 55 213
6. Lücke W 1985 PCT theorem for fields with arbitrary high-energy behavior J. Math. Phys. 27 1901
7. Soloviev M A 1998 Extension of the spin-statistics theorem to nonlocal fields JETP 67 621
8. Soloviev M A 1998 A uniqueness theorem for distributions and its application to nonlocal quantum field theory J. Math. Phys. 39 2635
9. Soloviev M A 1999 PCT, spin and statistics and analytic wave front set Theor. Math. Phys. 121 1377
10. Soloviev M A Nonlocal extension of the Borchers classes of quantum fields Multiple Facets of Quantization and Supersymmetry contribution to Marinov Memorial Volume ed M Olshanetsky and A Vainshtein (Singapore: World Scientific) pp 697-717 (Preprint math-ph/0112053)
11. Gelfand I M and Shilov G E 1968 Generalized Functions vol 2 (New York: Academic)
12. Borchers H-J 1960 Über die mannigfaltigkeit der interpolierenden felder zu einer kausalen s-matrix Nuovo Cimento 15 784
13. Epstein H 1963 On the borchers class of a free field Nuovo Cimento 27 886
14. Taylor J G and Cosntantinescu F 1973 Equivalence between non-localizable and local fields Commun. Math. Phys. 30 211
15. Mahajan N 2003 PCT theorem in field theory on non-commutative space Phys. Lett. B 569 85
16. Chu Chong-Sun, Furuta K and Inami T 2005 Locality, causality and noncommutative geometry Preprint hep-th/0502012
17. Chaichian M, Kulish P P, Nishijima K and Tureanu A 2004 On a Lorentz-ivariant interpretation of noncommutative space-time and its implications on noncommutative QFT Phys. Lett. B 604 98
18. Fainberg V Ya and Soloviev M A 1992 Non-localizability and asymptotic commutativity Theor. Math. Phys. 93 1438
19. Borchers H-J and Pohlmeyer K 1968 Eine scheinbare abschwächung der lokalitätsbedingung. II Commun. Math. Phys. 8 269
20. Jost R 1957 Eine Bemerkung zum CPT Helv. Phys. Acta 30 409
21. Streater R F and Wightman A S 1989 PCT, Spin and Statistics, and All That (Redwood City, CA: Addison-Wesley)
22. Bogoliubov N N, Logunov A A, Oksak A I and Todorov I T 1990 General Principles of Quantum Field Theory (Dordrecht: Kluwer)
23. Haag R 1996 Local Quantum Physics 2nd edn (Berlin: Springer)