Classicality of the order parameter during a phase transition

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 62, Issue 4, 2000, Pages 1-11

  Lombardo, Fernando C ^a,b   Mazzitelli, Francisco D ^a   Monteoliva, Diana ^a  

^a UNIVERSIDAD DE BUENOS AIRES   (Argentina)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85037214277     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.62.045016     Document Type: Article

References (39)

1. See, for example, D. Giulini et al., Decoherence and the Appearance of a Classical World in Quantum Theory (Springer-Verlag, Berlin, 1996); K. Molmer, Phys. Rev. A 55, 3195 (1997); J. Mod. Opt. 44, 1937 (1997).
2. See, for example, D. Giulini et al., Decoherence and the Appearance of a Classical World in Quantum Theory (Springer-Verlag, Berlin, 1996); K. Molmer, Phys. Rev. A 55, 3195 (1997); J. Mod. Opt. 44, 1937 (1997).
3. See, for example, D. Giulini et al., Decoherence and the Appearance of a Classical World in Quantum Theory (Springer-Verlag, Berlin, 1996); K. Molmer, Phys. Rev. A 55, 3195 (1997); J. Mod. Opt. 44, 1937 (1997).
4. W.G. Unruh and W.H. Zurek, Phys. Rev. D 40, 1071 (1989).
5. W.H. Zurek, Nature (London) 317, 505 (1985); Phys. Rep. 276, 177 (1996), and references therein.
6. W.H. Zurek, Nature (London) 317, 505 (1985); Phys. Rep. 276, 177 (1996), and references therein.
7. G. Karra and R.J. Rivers, Phys. Lett. B 414, 28 (1997); R.J. Rivers, in 3rd Colloque Cosmologie, Observatoire de Paris, in the proceedings, edited by H.J. de Vega and N. Sánchez (World Scientific, Singapore, 1995), p. 314; A.J. Gill and R.J. Rivers, Phys. Rev. D 51, 6949 (1995); G.J. Cheetham, E.J. Copeland, T.S. Evans, and R.J. Rivers, ibid. 47, 5316 (1993); G.J. Stephens, E.A. Calzetta, B.L. Hu, and S. Ramsey, ibid. 59, 045009 (1999).
8. G. Karra and R.J. Rivers, Phys. Lett. B 414, 28 (1997); R.J. Rivers, in 3rd Colloque Cosmologie, Observatoire de Paris, in the proceedings, edited by H.J. de Vega and N. Sánchez (World Scientific, Singapore, 1995), p. 314; A.J. Gill and R.J. Rivers, Phys. Rev. D 51, 6949 (1995); G.J. Cheetham, E.J. Copeland, T.S. Evans, and R.J. Rivers, ibid. 47, 5316 (1993); G.J. Stephens, E.A. Calzetta, B.L. Hu, and S. Ramsey, ibid. 59, 045009 (1999).
9. G. Karra and R.J. Rivers, Phys. Lett. B 414, 28 (1997); R.J. Rivers, in 3rd Colloque Cosmologie, Observatoire de Paris, in the proceedings, edited by H.J. de Vega and N. Sánchez (World Scientific, Singapore, 1995), p. 314; A.J. Gill and R.J. Rivers, Phys. Rev. D 51, 6949 (1995); G.J. Cheetham, E.J. Copeland, T.S. Evans, and R.J. Rivers, ibid. 47, 5316 (1993); G.J. Stephens, E.A. Calzetta, B.L. Hu, and S. Ramsey, ibid. 59, 045009 (1999).
10. G. Karra and R.J. Rivers, Phys. Lett. B 414, 28 (1997); R.J. Rivers, in 3rd Colloque Cosmologie, Observatoire de Paris, in the proceedings, edited by H.J. de Vega and N. Sánchez (World Scientific, Singapore, 1995), p. 314; A.J. Gill and R.J. Rivers, Phys. Rev. D 51, 6949 (1995); G.J. Cheetham, E.J. Copeland, T.S. Evans, and R.J. Rivers, ibid. 47, 5316 (1993); G.J. Stephens, E.A. Calzetta, B.L. Hu, and S. Ramsey, ibid. 59, 045009 (1999).
11. G. Karra and R.J. Rivers, Phys. Lett. B 414, 28 (1997); R.J. Rivers, in 3rd Colloque Cosmologie, Observatoire de Paris, in the proceedings, edited by H.J. de Vega and N. Sánchez (World Scientific, Singapore, 1995), p. 314; A.J. Gill and R.J. Rivers, Phys. Rev. D 51, 6949 (1995); G.J. Cheetham, E.J. Copeland, T.S. Evans, and R.J. Rivers, ibid. 47, 5316 (1993); G.J. Stephens, E.A. Calzetta, B.L. Hu, and S. Ramsey, ibid. 59, 045009 (1999).
12. F.C. Lombardo and F.D. Mazzitelli, Phys. Rev. D 53, 2001 (1996); see also C. Greiner and B. Muller, ibid. 55, 1026 (1997).
13. F.C. Lombardo and F.D. Mazzitelli, Phys. Rev. D 53, 2001 (1996); see also C. Greiner and B. Muller, ibid. 55, 1026 (1997).
14. B.L. Hu, J.P. Paz, and Y. Zhang, Phys. Rev. D 45, 2843 (1993); 47, 1576 (1993); J.P. Paz, S. Habib, and W.H. Zurek, ibid. 47, 488 (1993).
15. B.L. Hu, J.P. Paz, and Y. Zhang, Phys. Rev. D 45, 2843 (1993); 47, 1576 (1993); J.P. Paz, S. Habib, and W.H. Zurek, ibid. 47, 488 (1993).
16. B.L. Hu, J.P. Paz, and Y. Zhang, Phys. Rev. D 45, 2843 (1993); 47, 1576 (1993); J.P. Paz, S. Habib, and W.H. Zurek, ibid. 47, 488 (1993).
17. A. Guth and S.Y. Pi, Phys. Rev. D 32, 1899 (1985).
18. R. Laflamme and J. Louko, Phys. Rev. D 43, 3317 (1991).
19. W.H. Zurek and J.P. Paz, Phys. Rev. Lett. 72, 2508 (1994).
20. C. Kiefer, J. Lesgourgues, D. Polarski, and A.A. Starobinsky, Class. Quantum Grav. 15, L67 (1998); C. Kiefer, D. Polarski, and A.A. Starobinsky, Phys. Rev. D (to be published), gr-qc/9910065 and references therein.
21. C. Kiefer, J. Lesgourgues, D. Polarski, and A.A. Starobinsky, Class. Quantum Grav. 15, L67 (1998); C. Kiefer, D. Polarski, and A.A. Starobinsky, Phys. Rev. D (to be published), gr-qc/9910065 and references therein.
22. R. Jackiw and A. Kerman, Phys. Lett. 71A, 158 (1979).
23. F. Cooper, S.Y. Pi, and P. Stancioff, Phys. Rev. D 34, 3831 (1986).
24. R. Balian and R. Veneroni, Phys. Rev. Lett. 47, 1353 (1981).
25. G.J. Cheetham and E.J. Copeland, Phys. Rev. D 53, 4125 (1996).
26. M. Feit, J. A. Fleck, Jr., and A. Steiger, J. Comput. Phys. 47, 412 (1982).
27. J.P. Paz and F.D. Mazzitelli, Phys. Rev. D 37, 2170 (1988); F.D. Mazzitelli and J.P. Paz, ibid. 39, 2234 (1989); S.A. Ramsey and B.L. Hu, ibid. 56, 661 (1997); D. Boyanovsky and H.J. de Vega, ibid. 47, 2343 (1993); M. Gleiser and R. Ramos, ibid. 50, 2441 (1994).
28. J.P. Paz and F.D. Mazzitelli, Phys. Rev. D 37, 2170 (1988); F.D. Mazzitelli and J.P. Paz, ibid. 39, 2234 (1989); S.A. Ramsey and B.L. Hu, ibid. 56, 661 (1997); D. Boyanovsky and H.J. de Vega, ibid. 47, 2343 (1993); M. Gleiser and R. Ramos, ibid. 50, 2441 (1994).
29. J.P. Paz and F.D. Mazzitelli, Phys. Rev. D 37, 2170 (1988); F.D. Mazzitelli and J.P. Paz, ibid. 39, 2234 (1989); S.A. Ramsey and B.L. Hu, ibid. 56, 661 (1997); D. Boyanovsky and H.J. de Vega, ibid. 47, 2343 (1993); M. Gleiser and R. Ramos, ibid. 50, 2441 (1994).
30. J.P. Paz and F.D. Mazzitelli, Phys. Rev. D 37, 2170 (1988); F.D. Mazzitelli and J.P. Paz, ibid. 39, 2234 (1989); S.A. Ramsey and B.L. Hu, ibid. 56, 661 (1997); D. Boyanovsky and H.J. de Vega, ibid. 47, 2343 (1993); M. Gleiser and R. Ramos, ibid. 50, 2441 (1994).
31. J.P. Paz and F.D. Mazzitelli, Phys. Rev. D 37, 2170 (1988); F.D. Mazzitelli and J.P. Paz, ibid. 39, 2234 (1989); S.A. Ramsey and B.L. Hu, ibid. 56, 661 (1997); D. Boyanovsky and H.J. de Vega, ibid. 47, 2343 (1993); M. Gleiser and R. Ramos, ibid. 50, 2441 (1994).
32. F. Cooper, S. Habib, Y. Kluger, E. Mottola, J.P. Paz, and P.R. Anderson, Phys. Rev. D 50, 2848 (1994); F. Cooper, Y. Kluger, E. Mottola, and J.P. Paz, ibid. 51, 2377 (1995); D. Boyanovsky and H.J. de Vega, in Ref. [16].
33. F. Cooper, S. Habib, Y. Kluger, E. Mottola, J.P. Paz, and P.R. Anderson, Phys. Rev. D 50, 2848 (1994); F. Cooper, Y. Kluger, E. Mottola, and J.P. Paz, ibid. 51, 2377 (1995); D. Boyanovsky and H.J. de Vega, in Ref. [16].
34. D. Boyanovsky, H.J. de Vega, and R. Holman, Phys. Rev. D 49, 2769 (1994); D. Boyanovsky, H.J. de Vega, R. Holman, D.-S. Lee, and A. Singh, ibid. 51, 4419 (1995); D. Boyanovsky, D. Cormier, H.J. de Vega, R. Holman, and S. Prem Kumar, ibid. 57, 2166 (1998).
35. D. Boyanovsky, H.J. de Vega, and R. Holman, Phys. Rev. D 49, 2769 (1994); D. Boyanovsky, H.J. de Vega, R. Holman, D.-S. Lee, and A. Singh, ibid. 51, 4419 (1995); D. Boyanovsky, D. Cormier, H.J. de Vega, R. Holman, and S. Prem Kumar, ibid. 57, 2166 (1998).
36. D. Boyanovsky, H.J. de Vega, and R. Holman, Phys. Rev. D 49, 2769 (1994); D. Boyanovsky, H.J. de Vega, R. Holman, D.-S. Lee, and A. Singh, ibid. 51, 4419 (1995); D. Boyanovsky, D. Cormier, H.J. de Vega, R. Holman, and S. Prem Kumar, ibid. 57, 2166 (1998).
37. D. Boyanovsky, C. Destri, H.J. de Vega, R. Holman, and J. Salgado, Phys. Rev. D 57, 7388 (1998).
38. D. Boyanovsky, H.J. de Vega, and R. Holman, "Nonequilibrium Phase Transitions in Condensed Matter and Cosmology: Spinodal Decomposition, Condensates and Defects, Lectures delivered at the NATO Advanced Study Institute: Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transition," hep-ph/9909372.
39. B. Mihaila, J. Dawson, F. Cooper, M. Brewster, and S. Habib, "The Quantum Roll in d-dimensions and the Large-d Expansion," hep-ph/9808234.