String- and brane-localized causal fields in a strongly nonlocal model

Journal of Physics A: Mathematical and Theoretical

Volumn 40, Issue 9, 2007, Pages 2147-2163

  Buchholz, Detlev ^a   Summers, Stephen J ^b  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

^b UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 36849089889     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/40/9/019     Document Type: Article

References (28)

1. Araki H 1964 On the algebra of all local observables Prog. Theor. Phys. 32 844-54
2. Bisognano J J and Wichmann E H 1975 On the duality condition for a Hermitian scalar field J. Math. Phys. 16 985-1007
3. Bisognano J J and Wichmann E H 1976 On the duality condition for quantum fields J. Math. Phys. 17 303-21
4. Borchers H-J 2000 On revolutionizing quantum field theory with Tomita's modular theory J. Math. Phys. 41 3604-73
5. Borchers H-J, Buchholz D and Schroer B 2001 Polarization-free generators and the S-matrix Commun. Math. Phys. 219 125-40
6. Bratteli O and Robinson DW1979 Operator Algebras and Quantum Statistical Mechanics I (Berlin: Springer)
7. Brunetti R, Guido D and Longo R 2002 Modular localization andWigner particles Rev. Math. Phys. 14 759-85
8. BuchholzD,Doplicher S and Longo R 1986 On Noether's theorem in quantum field theory Ann. Phys. 170 1-17
9. Buchholz D, Dreyer O, Florig M and Summers S J 2000 Geometric modular action and spacetime symmetry groups Rev. Math. Phys. 12 475-560
10. Buchholz D and Lechner G 2004 Modular nuclearity and localization Ann. Henri Poincaré 5 1065-80
11. Buchholz D and Summers S J 2004 Stable quantum systems in Anti-de Sitter space: causality, independence and spectral properties J. Math. Phys. 45 4810-31
12. Buchholz D and Summers S J 2005 Quantum statistics and locality Phys. Lett. A 337 17-21
13. Doplicher S, Fredenhagen K and Roberts J E 1995 The quantum structure of spacetime at the Planck scale and quantum fields Commun. Math. Phys. 172 187-220
14. Doplicher S and LongoR1984 Standard and split inclusions of vonNeumann algebras Invent. Math. 75 493-536
15. Douglas M R and Nekrasov N A 2001 Noncommutative field theory Rev. Mod. Phys. 73 977-1029
16. Eliezer D A and Woodard R P 1989 The problem of nonlocality in string theory Nucl. Phys. B 325 389-469
17. Jost R 1965 General Theory of Quantized Fields (Providence, RI: American Mathematical Society)
18. Kadison R V and Ringrose J R 1986 Fundamentals of the Theory of Operator Algebras vol II (Orlando: Academic)
19. Lechner G 2003 Polarization-free quantum fields and interaction Lett. Math. Phys. 64 137-54
20. Lechner G 2005 On the existence of local observables in theories with a factorizing S-matrix J. Phys. A: Math. Gen. 38 3045-56
21. Lechner G 2006 An existence proof for interacting quantum field theories with a factorizing S-matrix Preprint math-ph/0601022
22. Longo R and Rehren K-H 2004 Local fields in boundary conformal QFT Rev. Math. Phys. 16 909-60
23. Mund J, Schroer B and Yngvason J 2006 String-localized fields and modular localization Commun. Math. Phys. 268 621-72
24. Roos H 1970 Independence of local algebras in quantum field theory Commun. Math. Phys. 16 238-46
25. Schlieder S 1969 Einige Bemerkungen über Projektionsoperatoren Commun. Math. Phys. 13 216-25
26. Schroer B 1997 Modular localization and the bootstrap-formfactor program Nucl. Phys. B 499 547-68
27. Schroer B 1999 Modular wedge localization and the d = 1 + 1 formfactor program Ann. Phys. 275 190-223
28. Streater R F and Wightman A S 1964 PCT, Spin and Statistics, and All That (Reading, MA: Benjamin-Cummings)