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Linked References

1. E. B. Davies, Quantum Theory of Open Systems, Academic Press, London, UK, 1976. View at Zentralblatt MATH · View at MathSciNet
2. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems, Oxford University Press, New York, NY, USA, 2002. View at Zentralblatt MATH · View at MathSciNet
3. C. W. Gardiner and P. Zoller, Quantum Noise, Springer Series in Synergetics, Springer, Berlin, Germany, 2nd edition, 2000. View at Zentralblatt MATH · View at MathSciNet
4. U. Weiss, Quantum Dissipative Systems, World Scientific, River Edge, NJ, USA, 1999.
5. C. Itzykson and J. B. Zuber, Quantum Field Theory, International Series in Pure and Applied Physics, McGraw-Hill, New York, NY, USA, 1980. View at MathSciNet
6. P. M. V. B. Barone and A. O. Caldeira, “Quantum mechanics of radiation damping,” Physical Review A, vol. 43, no. 1, pp. 57–63, 1991. View at Publisher · View at Google Scholar
7. C. Anastopoulos, “n-particle sector of field theory as a quantum open system,” Physical Review D, vol. 56, no. 10, pp. 6702–6705, 1997.
8. C. Anastopoulos and A. Zoupas, “Nonequilibrium quantum electrodynamics,” Physical Review D, vol. 58, no. 10, Article ID 105006, 12 pages, 1998. View at MathSciNet
9. J. A. Wheeler and R. P. Feynman, “Classical electrodynamics in terms of direct interparticle action,” Reviews of Modern Physics, vol. 21, no. 3, pp. 425–433, 1949. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
10. E. Calzetta and B. L. Hu, “Noise and fluctuations in semiclassical gravity,” Physical Review D, vol. 49, no. 12, pp. 6636–6655, 1994. View at Publisher · View at Google Scholar
11. B. L. Hu and A. Matacz, “Back reaction in semiclassical gravity: the Einstein-Langevin equation,” Physical Review D, vol. 51, no. 4, pp. 1577–1586, 1995. View at Publisher · View at Google Scholar
12. B. L. Hu and S. Sinha, “Fluctuation-dissipation relation for semiclassical cosmology,” Physical Review D, vol. 51, no. 4, pp. 1587–1606, 1995. View at MathSciNet
13. A. Campos and E. Verdaguer, “Stochastic semiclassical equations for weakly inhomogeneous cosmologies,” Physical Review D, vol. 53, no. 4, pp. 1927–1937, 1996. View at MathSciNet
14. R. Martín and E. Verdaguer, “Stochastic semiclassical fluctuations in Minkowski spacetime,” Physical Review D, vol. 61, no. 12, Article ID 124024, 26 pages, 2000. View at MathSciNet
15. E. A. Calzetta, B. L. Hu, and F. D. Mazzitelli, “Coarse-grained effective action and renormalization group theory in semiclassical gravity and cosmology,” Physics Reports A, vol. 352, no. 4-6, pp. 459–520, 2001. View at Zentralblatt MATH · View at MathSciNet
16. B. L. Hu and E. Verdaguer, “Stochastic gravity: a primer with applications,” Classical and Quantum Gravity, vol. 20, no. 6, pp. R1–R42, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
17. B. L. Hu and E. Verdaguer, “Stochastic gravity: theory and applications,” Living Reviews in Relativity, vol. 7, p. 3, 2004.
18. E. Calzetta, A. Campos, and E. Verdaguer, “Stochastic semiclassical cosmological models,” Physical Review D, vol. 56, no. 4, pp. 2163–2172, 1997.
19. F. C. Lombardo and F. D. Mazzitelli, “Einstein-Langevin equations from running coupling constants,” Physical Review D, vol. 55, no. 6, pp. 3889–3892, 1997.
20. R. Martín and E. Verdaguer, “Stochastic semiclassical gravity,” Physical Review D, vol. 60, no. 8, Article ID 084008, 24 pages, 1999. View at MathSciNet
21. R. Martín and E. Verdaguer, “On the semiclassical Einstein-Langevin equation,” Physics Letters B, vol. 465, no. 1–4, pp. 113–118, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
22. E. Calzetta, A. Roura, and E. Verdaguer, “Vacuum decay in quantum field theory,” Physical Review D, vol. 64, no. 10, Article ID 105008, 2001. View at Publisher · View at Google Scholar
23. E. Calzetta, A. Roura, and E. Verdaguer, “Dissipation, noise, and vacuum decay in quantum field theory,” Physical Review Letters, vol. 88, no. 1, Article ID 010403, 4 pages, 2002.
24. F. Lombardo and F. D. Mazzitelli, “Coarse graining and decoherence in quantum field theory,” Physical Review D, vol. 53, no. 4, pp. 2001–2011, 1996.
25. C. Greiner and B. Müller, “Classical fields near thermal equilibrium,” Physical Review D, vol. 55, no. 2, pp. 1026–1046, 1997.
26. F. C. Lombardo, F. D. Mazzitelli, and R. J. Rivers, “Decoherence in field theory: general couplings and slow quenches,” Nuclear Physics B, vol. 672, no. 3, pp. 462–486, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
27. A. Matacz, “Inflation and the fine-tuning problem,” Physical Review D, vol. 56, no. 4, pp. R1836–R1840, 1997.
28. T. Tanaka and M.-A. Sakagami, “Classical nature of the inflaton field with self-interaction,” Progress of Theoretical Physics, vol. 100, no. 3, pp. 547–580, 1998. View at Publisher · View at Google Scholar
29. F. C. Lombardo and D. L. Nacir, “Decoherence during inflation: the generation of classical inhomogeneities,” Physical Review D, vol. 72, no. 6, Article ID 063506, 19 pages, 2005. View at Publisher · View at Google Scholar
30. J. Zanella and E. Calzetta, “A nonequilibrium renormalization group approach to turbulent reheating,” Journal of Physics A, vol. 40, no. 25, pp. 6927–6933, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
31. M. E. Peskin and D. V. Schroeder, An Introduction to Quantum Field Theory, Addison-Wesley, Reading, Mass, USA, 1998.
32. L. S. Brown, Quantum Field Theory, Cambridge University Press, Cambridge, UK, 1992. View at MathSciNet
33. S. Weinberg, The Quantum Theory of Fields, Cambridge University Press, Cambridge, UK, 1995.
34. J. I. Latorre, P. Pascual, and R. Tarrach, “Speed of light in non-trivial vacua,” Nuclear Physics B, vol. 437, no. 1, pp. 60–82, 1995. View at Publisher · View at Google Scholar
35. D. Arteaga, R. Parentani, and E. Verdaguer, “Propagation in a thermal graviton background,” Physical Review D, vol. 70, no. 4, Article ID 044019, 15 pages, 2004. View at MathSciNet
36. D. Arteaga, R. Parentani, and E. Verdaguer, “Retarded green functions and modified dispersion relations,” International Journal of Theoretical Physics, vol. 44, no. 10, pp. 1665–1689, 2005. View at Publisher · View at Google Scholar
37. M. Le Bellac, Thermal Field Theory, Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cambridge, UK, 1996. View at MathSciNet
38. J. Bros, H. Epstein, and U. Moschella, “The lifetime of a massive particle in a de Sitter universe,” Journal of Cosmology and Astroparticle Physics, vol. 2008, no. 2, 8 pages, 2008. View at Publisher · View at Google Scholar
39. I. T. Drummond and S. J. Hathrell, “QED vacuum polarization in a background gravitational field and its effect on the velocity of photons,” Physical Review D, vol. 22, no. 2, pp. 343–355, 1980. View at MathSciNet
40. G. M. Shore, “Quantum gravitational optics,” Contemporary Physics, vol. 44, no. 6, pp. 503–521, 2003. View at Publisher · View at Google Scholar
41. D. Arteaga, “Particle propagation in cosmological backgrounds,” Journal of Physics A, vol. 40, no. 25, pp. 6901–6906, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
42. D. Arteaga, R. Parentani, and E. Verdaguer, “Particle propagation in cosmological backgrounds,” International Journal of Theoretical Physics, vol. 46, no. 9, pp. 2227–2241, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
43. D. Arteaga, “Quasiparticle excitations in relativistic quantum field theory,” Annals of Physics, vol. 324, no. 4, pp. 920–954, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
44. D. Arteaga, “A field theory characterization of interacting adiabatic particles in cosmology,” Classical and Quantum Gravity, vol. 25, no. 15, Article ID 154014, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
45. D. Campo and R. Parentani, “Inflationary spectra and violations of Bell inequalities,” Physical Review D, vol. 74, no. 2, Article ID 025001, 2006. View at Publisher · View at Google Scholar
46. D. Campo and R. Parentani, “Inflationary spectra and partially decohered distributions,” Physical Review D, vol. 72, no. 4, Article ID 045015, 25 pages, 2005. View at Publisher · View at Google Scholar
47. D. Campo and R. Parentani, “Space-time correlations in inflationary spectra: a wave-packet analysis,” Physical Review D, vol. 70, no. 10, Article ID 105020, 2004. View at Publisher · View at Google Scholar
48. W. G. Unruh and W. H. Zurek, “Reduction of a wave packet in quantum Brownian motion,” Physical Review D, vol. 40, no. 4, pp. 1071–1094, 1989. View at MathSciNet
49. L. D. Romero and J. P. Paz, “Decoherence and initial correlations in quantum Brownian motion,” Physical Review A, vol. 55, no. 6, pp. 4070–4083, 1997. View at Publisher · View at Google Scholar · View at MathSciNet
50. A. O. Caldeira and A. J. Leggett, “Quantum tunnelling in a dissipative system,” Annals of Physics, vol. 149, no. 2, pp. 374–456, 1983. View at Publisher · View at Google Scholar
51. D. Arteaga, E. Calzetta, A. Roura, and E. Verdaguer, “Activation-like processes at zero temperature,” International Journal of Theoretical Physics, vol. 42, no. 6, pp. 1257–1280, 2003. View at Publisher · View at Google Scholar
52. E. Calzetta and E. Verdaguer, “Real-time approach to tunnelling in open quantum systems: decoherence and anomalous diffusion,” Journal of Physics A, vol. 39, no. 30, pp. 9503–9532, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
53. A. O. Caldeira and A. J. Leggett, “Influence of dissipation on quantum tunneling in macroscopic systems,” Physical Review Letters, vol. 46, no. 4, pp. 211–214, 1981. View at Publisher · View at Google Scholar
54. S. Massar, R. Parentani, and R. Brout, “On the problem of the uniformly accelerated oscillator,” Classical and Quantum Gravity, vol. 10, no. 2, pp. 385–395, 1993. View at Publisher · View at Google Scholar · View at MathSciNet
55. B. L. Hu and A. Matacz, “Quantum Brownian motion in a bath of parametric oscillators: a model for system-field interactions,” Physical Review D, vol. 49, no. 12, pp. 6612–6635, 1994. View at MathSciNet
56. D. F. Walls and G. J. Milburn, Quantum Optics, Springer, Berlin, Germany, 1994.
57. A. O. Caldeira and A. J. Leggett, “Path integral approach to quantum Brownian motion,” Physica A, vol. 121, no. 3, pp. 587–616, 1983. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
58. R. P. Feynman and F. L. Vernon Jr., “The theory of a general quantum system interacting with a linear dissipative system,” Annals of Physics, vol. 24, pp. 118–173, 1963. View at Publisher · View at Google Scholar
59. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals, McGraw-Hill, New York, NY, USA, 1965.
60. B. L. Hu, J. P. Paz, and Y. Zhang, “Quantum Brownian motion in a general environment: exact master equation with nonlocal dissipation and colored noise,” Physical Review D, vol. 45, no. 8, pp. 2843–2861, 1992. View at MathSciNet
61. B. L. Hu, J. P. Paz, and Y. Zhang, “Quantum Brownian motion in a general environment. II. Nonlinear coupling and perturbative approach,” Physical Review D, vol. 47, no. 4, pp. 1576–1594, 1993. View at MathSciNet
62. J. Schwinger, “Brownian motion of a quantum oscillator,” Journal of Mathematical Physics, vol. 2, no. 3, pp. 407–432, 1961. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
63. L. V. Keldysh, “Diagram technique for nonequilibrium processes,” Zhurnal Eksperimental noi i Teoreticheskoi Fiziki, vol. 47, pp. 1515–1527, 1965, translated as Soviet Physics JETP, vol. 20, pp. 1018–1026, 1965. View at MathSciNet
64. E. Tomboulis, “$1/N$ expansion and renormalization in quantum gravity,” Physics Letters B, vol. 70, no. 3, pp. 361–364, 1977. View at Publisher · View at Google Scholar
65. F. Cooper and E. Mottola, “Initial-value problems in quantum field theory in the large-$N$ approximation,” Physical Review D, vol. 36, no. 10, pp. 3114–3127, 1987. View at Publisher · View at Google Scholar
66. F. Cooper, S. Habib, Y. Kluger, E. Mottola, J. P. Paz, and P. R. Anderson, “Nonequilibrium quantum fields in the large-$N$ expansion,” Physical Review D, vol. 50, no. 4, pp. 2848–2869, 1994. View at Publisher · View at Google Scholar
67. H. A. Weldon, “Simple rules for discontinuities in finite-temperature field theory,” Physical Review D, vol. 28, no. 8, pp. 2007–2015, 1983. View at Publisher · View at Google Scholar
68. D. Arteaga, Particle propagation in non-trivial backgrounds: a quantum field theory approach, Ph.D. thesis, Universitat de Barcelona, Barcelona, Spain, 2007.
69. A. O. Caldeira, H. A. Cerdeira, and R. Ramaswamy, “Limits of weak damping of a quantum harmonic oscillator,” Physical Review A, vol. 40, no. 6, pp. 3438–3440, 1989. View at Publisher · View at Google Scholar
70. C. Fleming, B. Hu, and A. Roura, “Solutions to master equations of quantum Brownian motion in a general environment with external force,” Quantum Physics. In press.
71. R. Parentani, “Constructing QFT's wherein Lorentz Invariance is broken by dissipative effects in the UV,” http://rxiv.org/abs/0705.2766.
72. R. Parentani, “Confronting the trans-Planckian question of inflationary cosmology with dissipative effects,” Classical and Quantum Gravity, vol. 25, no. 15, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
73. K. Chou, Z. Su, B. Hao, and L. Yu, “Equilibrium and nonequilibrium formalisms made unified,” Physics Reports, vol. 118, no. 1-2, pp. 1–131, 1985. View at MathSciNet
74. E. Calzetta and B. L. Hu, “Closed-time-path functional formalism in curved spacetime: application to cosmological back-reaction problems,” Physical Review D, vol. 35, no. 2, pp. 495–509, 1987. View at MathSciNet
75. A. Campos and B. L. Hu, “Nonequilibrium dynamics of a thermal plasma in a gravitational field,” Physical Review D, vol. 58, no. 12, Article ID 125021, 1998.
76. A. Campos and E. Verdaguer, “Semiclassical equations for weakly inhomogeneous cosmologies,” Physical Review D, vol. 49, no. 4, pp. 1861–1880, 1994. View at Publisher · View at Google Scholar
77. S. Weinberg, “Quantum contributions to cosmological correlations,” Physical Review D, vol. 72, no. 4, Article ID 043514, 19 pages, 2005. View at MathSciNet
78. A. Das, Finite Temperature Field Theory, World Scientific, Singapore, 1997.
79. I. D. Lawrie, “Peturbative description of dissipation in nonequilibrium field theory,” Physical Review D, vol. 40, no. 10, pp. 3330–3342, 1989. View at MathSciNet
80. I. D. Lawrie and D. B. McKernan, “Nonequilibrium perturbation theory for complex scalar fields,” Physical Review D, vol. 55, no. 4, pp. 2290–2297, 1997.
81. N. P. Landsman and Ch. G. van Weert, “Real- and imaginary-time field theory at finite temperature and density,” Physics Reports, vol. 145, no. 3-4, pp. 141–249, 1987. View at MathSciNet
82. E. Calzetta, A. Roura, and E. Verdaguer, “Stochastic description for open quantum systems,” Physica A, vol. 319, no. 1–4, pp. 188–212, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
83. H. Grabert, P. Schramm, and G.-L. Ingold, “Quantum Brownian motion: the functional integral approach,” Physics Reports, vol. 168, no. 3, pp. 115–207, 1988. View at MathSciNet
84. J. R. Anglin, J. P. Paz, and W. H. Zurek, “Deconstructing decoherence,” Physical Review A, vol. 55, no. 6, pp. 4041–4053, 1997. View at Publisher · View at Google Scholar
85. A. Roura, , Ph.D. thesis, Universitat de Barcelona, Barcelona, Spain, 2001.
86. J. J. Halliwell and T. Yu, “Alternative derivation of the Hu-Paz-Zhang master equation of quantum Brownian motion,” Physical Review D, vol. 53, no. 4, pp. 2012–2019, 1996. View at MathSciNet