Particle creation, classicality and related issues in quantum field theory: I. Formalism and toy models

General Relativity and Gravitation

Volumn 40, Issue 4, 2008, Pages 661-708

  Mahajan, Gaurang ^a   Padmanabhan, T ^a  

^a INTER UNIVERSITY CENTRE FOR ASTRONOMY AND ASTROPHYSICS   (India)

Author keywords

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EID: 46249084370     PISSN: 00017701     EISSN: 15729532     Source Type: Journal    
DOI: 10.1007/s10714-007-0526-z     Document Type: Article

References (72)

1. Milonni P.W. (1994). The Quantum Vacuum: An Introduction to Quantum Electrodynamics. Academic Press, San Diego
2. Mukhanov V. and Winitzki S. (2007). Inroduction to Quantum Effects in Gravity. Cambridge University Press, Cambridge
3. Birrell N.D. and Davies P.C.W. (1982). Quantum Fields in Curved Space. Cambridge University Press, Cambridge
4. Fulling S.A. (1989). Aspects of Quantum Field Theory in Curved Spacetime. Cambridge University Press, Cambridge
5. DeWitt B.S. (1975). Phys. Rep. 19: 295
6. Page D.N. (2005). New J. Phys. 7: 203. arXiv:hep-th/0409024
7. Padmanabhan T. (2005). Phys. Rep. 406: 49. arXiv:gr-qc/0311036
8. Sriramkumar L. and Padmanabhan T. (2002). Int. J. Mod. Phys. D 11: 1. arXiv:gr-qc/9903054
9. Brout R., Massar S., Parentani R. and Spindel P. (1995). Phys. Rept. 260: 329
10. Dittrich W. and Reuter M. (1994). Classical and Quantum Dynamics. Chap. 18. Springer, Berlin
11. Brown, M.R.: In: Christensen, S.M. (ed.) Quantum Theory of Gravity. pp. 243-250. (1984)
12. Srinivasan K. and Padmanabhan T. (1999). Phys. Rev. D 60: 024007. arXiv:gr-qc/9812028
13. Schwinger, J.: Phys. Rev. 82, 664 (1951)
14. for a text book discussion see Itzykson, C., Zuber, J.B.: Quantum Field Theory McGraw-Hill, New York (1980)
15. Padmanabhan T. (1991). Pramana 37: 179
16. Dunne, G.V.: In: Shifman, M., et al. (ed.) From Fields to Strings: Circumnavigating Theoretical Physics. arXiv:hep-th/0406216
17. Kim S.P., (2007). Phys. Rev. D 75: 045013
18. Kim S.P. and Page D.N. (2006). Phys. Rev. D 73: 065020
19. Kluger Y., (1991). Phys. Rev. Lett. 67: 2427
20. Cooper, F., Nayak, G.C.: arXiv:hep-th/0611125.
21. Kiefer C. (1992). Phys. Rev. D 45: 2044
22. Kiefer C., (1991). Class. Quant. Grav. 8: L185
23. Sriramkumar L. and Padmanabhan T. (1996). Phys. Rev. D 54: 7599
24. Hawking S.W. (1982). Phys. Lett. B 115: 295
25. Starobinsky A.A. (1982). Phys. Lett. B 117: 175
26. Guth A.H. and Pi S.-Y. (1982). Phys. Rev. Lett. 49: 1110
27. Bardeen J.M., Steinhardt P.J. and Turner M.S. (1983). Phys. Rev. D 28: 679
28. Abbott L.F. and Wise M.B. (1984). Nucl. Phys. B 244: 541
29. Padmanabhan T. (1988). Phys. Rev. Letts. 60: 2229
30. Padmanabhan T., Seshadri T.R. and Singh T.P. (1989). Phys. Rev. D 39: 2100
31. Brandenberger, R.H.: Rev. Mod. Phys. 57(1) (1985)
32. Mukhanov V.F., Feldman H.A. and Brandenberger R.H. (1992). Phys. Rept. 215: 203
33. Martin, J.: arXiv:0704.3540 [hep-th]
34. Martin J. (2005). Lect. Notes Phys. 669: 199. arXiv: hep-th/0406011
35. Padmanabhan T. (1999). Theoretical Astrophysics, Volume III: Galaxies and Cosmology, Sec. 5.7. Cambridge University Press, Cambridge
36. Liddle A.R. and Lyth D.H. (1999). Cosmological Inflation and Large-Scale Structure. Cambridge University Press, Cambridge
37. Halliwell J.J. (1989). Phys. Rev. D 39: 2912
38. Padmanabhan T. (1989). Phys. Rev. D 39: 2924
39. Zurek, W.H.: Los Alamos Science, Number 27 (2002)
40. Zurek W.H., Habib S. and Paz J.P. (1993). Phys. Rev. Lett. 70: 1187
41. Unruh W.G. and Zurek W.H. (1989). Phys. Rev. D 40: 1071
42. Calzetta E. and Mazzitelli F.D. (1990). Phys. Rev. D 42: 4066
43. Giulini D., Kiefer C., Joos E., Kupsch J., Stamatescu I.O. and Zeh H.D. (1996). Decoherence and the Appearance of a Classical World in Quantum Theory. Springer, Berlin
44. Wigner E. (1932). Phys. Rev. 40: 749
45. Matacz A.L. (1993). Class. Quantum Grav. 10: 509
46. Grishchuk L.P. and Sidorov Y.V. (1990). Phys. Rev. D 42: 3413
47. Polarski D. and Starobinsky A. (1996). Class. Quantum Grav. 13: 377. arXiv:gr-qc/9504030
48. Singh T.P. and Padmanabhan T. (1989). Annals of Physics 196: 296
49. Calzetta E. and Hu B.L. (1995). Phys. Rev. D 52: 6770. arXiv:gr-qc/9505046
50. Lyth, D.H., Seery, D.: arXiv:astro-ph/0607647v2
51. Kiefer C. and Polarski D. (1998). Annalen Phys. 7: 137. arXiv:gr-qc/9805014v2
52. Mijic M. (1998). Phys. Rev. D 57: 2138. arXiv:gr-qc/9801094v1
53. Heyl, J.H.: arXiv:gr-qc/0602079v1
54. Parker L. (1968). Phys. Rev. Lett. 21: 562
55. Parker L. (1969). Phys. Rev. 183: 1057
56. Parker L. (1971). Phys. Rev. D 3: 346
57. Grishchuk L.P. (1975). Sov. Phys. JETP 40: 409
58. Hu B.L., Kang G. and Matacz A. (1994). Int. J. Mod. Phys. A 9: 991. arXiv:gr-qc/9312014
59. Campos A. and Verdaguer E. (1994). Phys. Rev. D 49: 1861. arXiv:gr-qc/9307027
60. Mahajan, G., Padmanabhan, T.: arXiv:0708.1237 [gr-qc]
61. Sriramkumar L. and Padmanabhan T. (2005). Phys. Rev. D 71: 103512
62. Padmanabhan T. and Seshadri T.R. (1986). Phys. Rev. D 34: 951
63. Padmanabhan T. (1986). Class. Quant. Grav. 3: 911
64. Grishchuk L.P. and Sidorov Y.V. (1990). Phys. Rev. D 42: 3413
65. Albrecht A., Ferreira P., Joyce M. and Prokopec T. (1994). Phys. Rev. D 50: 4807
66. Morikawa M. (1990). Phys. Rev. D 42: 2924
67. Gerry C.C. and Knight P.L. (2005). Introductory Quantum Optics. Cambridge University Press, Cambridge
68. Grishchuk L.P. (1993). Phys. Rev. Lett. 70: 2371. arXiv:gr-qc/9304001
69. Albrecht A., Ferreira P., Joyce M. and Prokopec T. (1994). Phys. Rev. D 50: 4807. arXiv:astro-ph/9303001
70. Gradshteyn I.S. and Ryzhik I.M. (1994). Table of Integrals, Series and Products. Academic Press, London
71. Arfken G.B. and Weber H.J. (2001). Mathematical Methods for Physicists. Academic Press, India
72. Grishchuk, L.P.: arXiv:gr-qc/9603011