Bondi-Metzner-Sachs Symmetry, Holography on Null-surfaces and Area Proportionality of "Light-slice" Entropy

Foundations of Physics

Volumn 41, Issue 2, 2011, Pages 204-241

  Schroer, Bert ^a,b  

^a CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

^b FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

Bondi Metzner Sachs symmetry as subgroup of infinite dimensional holographic symmetry; Holographic projections onto null surfaces (horizons); Localization caused thermal behavior; Quantum field theory

Indexed keywords

EID: 78751618780     PISSN: 00159018     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10701-010-9494-3     Document Type: Article

References (53)

1. Bisognano, J. J., Wichmann, E. H.: J. Math. Phys. 17, 30 (1976).
2. Schroer, B.: Localization and the interface between quantum mechanics, quantum field theory and quantum gravity I (the two antagonistic localizations and their asymptotic compatibility), Stud. Hist. Philos. Phys. B 41, 104 (2010).
3. Schroer, B.: Localization and the interface between quantum mechanics, quantum field theory and quantum gravity II (The search of the interface between QFT and QG), Stud. Hist. Philos. Mod. Phys. (2010, to appear). arXiv: 0912. 2886.
4. Schroer, B.: Class. Quantum Gravity 24, 4239 (2007) and preceding articles by the same author.
5. Sewell, G. L.: Ann. Phys. 141, 201 (1982).
6. Summers, S. J., Verch, R.: Lett. Math. Phys. 37, 145 (1996).
7. Guido, D., Longo, R., Roberts, J. E., Verch, R.: Rev. Math. Phys. 13, 125 (2001).
8. Hawking, S. W.: Commun. Math. Phys. 43, 19 (1975).
9. Haag, R.: Local Quantum Physics. Springer, Berlin (1996).
10. Takesaki, M.: Tomita's Theory of Modular Hilbert Algebras and Its Applications. Lecture Notes in Mathematics, vol. 128. Springer, Berlin (1970).
11. 't Hooft, G.: Dimensional reduction in quantum gravity. arXiv: gr-qc/9310026.
12. Schroer, B.: Jorge A. Swieca's contributions to quantum field theory in the 60s and 70s and their relevance in present research. Eur. Phys. J. H (to be published). arXiv: 0712. 0371.
13. Bousso, R.: Rev. Mod. Phys. 74, 825 (2002).
14. Sachs, R.: Phys. Rev. 128, 2851 (1962).
15. Unruh, W. G.: Phys. Rev. D 14, 870 (1976).
16. Driessler, W.: Acta Phys. Austr. 46, 63 (1977).
17. Brunetti, R., Fredenhagen, K., Verch, R.: Commun. Math. Phys. 237, 31 (2003).
18. Glaser, V., Lehmann, H., Zimmermann, W.: Nuovo Cimento 6, 1122 (1957).
19. Schroer, B.: A critical look at 50 years particle theory from the perspective of the crossing property. arXiv: 0905. 4006.
20. Babujian, H., Karowski, M.: The "Bootstrap program" for integrable quantum field theories in 1+1 Dim. arXiv: hep-th/0110261.
21. Schroer, B.: J. Phys. A 35, 9165 (2002).
22. Schroer, B.: Int. J. Math. Phys. A 18, 1671 (2003).
23. Schroer, B.: Int. J. Mod. Phys. A 19S2, 348 (2004).
24. Schroer, B.: Nucl. Phys. B 499, 547 (1997).
25. Schroer, B.: Ann. Phys. 275, 190 (1999).
26. Lechner, G.: Commun. Math. Phys. 277, 821 (2008).
27. Babujian, H., Karowski, M.: Int. J. Mod. Phys. A 19S2, 34 (2004).
28. Zamolodchikov, A. B., Zamolodchikov, Al.: Ann. Phys. 120, 253 (1979).
29. Duetsch, M., Rehren, K.-H.: Henri Poincaré 4, 613 (2003). arXiv: math-ph/0209035.
30. Wald, R. M.: General Relativity. University of Chicago Press, Chicago (1984).
31. Bischoff, M., Meise, D., Rehren, K.-H., Wagner, I.: Conformal quantum field theory in various dimensions. Bulg. J. Phys. 36, 170 (2009).
32. Dappiaggi, C.: Free field theory at null infinity and white noise calculus: a BMS invariant dynamical system. arXiv: math-ph/0607055.
33. Brunetti, R., Guido, D., Longo, R.: Rev. Math. Phys. 14, 759 (2002).
34. Fassarella, L., Schroer, B.: J. Phys. A 35, 9123 (2002).
35. Mund, J., Schroer, B., Yngvason, J.: Commun. Math. Phys. 268, 621 (2006).
36. Dappiaggi, C.: Phys. Lett. B 615, 291 (2005).
37. Newton, T. D., Wigner, E. P.: Rev. Mod. Phys. 21, 400 (1949).
38. Bombelli, L., Kaul, R. K., Lee, J., Sorkin, R.: Phys. Rev. D 34, 373 (1986).
39. Doplicher, S., Longo, R.: Invent. Math. 75, 493 (1984).
40. Requardt, M.: Commun. Math. Phys. 50, 256 (1976).
41. Hartle, J., Hawking, S. W.: Phys. Rev. D 28, 2960 (1983).
42. Cardy, J.: Entanglement entropy in extended quantum systems. arXiv: 0708. 2978.
43. Longo, R., Xu, F.: Commun. Math. Phys. 251, 321 (2004).
44. Borchers, H.-J., Yngvason, J.: J. Math. Phys. 40, 601 (1999).
45. Schroer, B., Wiesbrock, H.-W.: Rev. Math. Phys. 12, 461 (2000). arXiv: hep-th/9901031.
46. Jacobson, T.: Phys. Rev. Lett. 75, 1260 (1995).
47. Haag, R., Swieca, J. A.: Commun. Math. Phys. 1, 308 (1965).
48. Buchholz, D., Wichmann, E. H.: Commun. Math. Phys. 106, 321 (1986).
49. Dappiaggi, C., Moretti, V., Pinamonti, N.: Rev. Math. Phys. 18, 349 (2006).
50. Moretti, V.: Commun. Math. Phys. 268, 727 (2006).
51. Moretti, V.: Commun. Math. Phys. 279, 31 (2008).
52. Brunetti, R., Fredenhagen, K., Verch, R.: Commun. Math. Phys. 237, 31 (2003).
53. Hollands, S., Wald, R. E.: Gen. Relativ. Gravit. 36, 2595 (2004).