Vacuum polarization and photon mass in inflation

American Journal of Physics

Volumn 72, Issue 1, 2004, Pages 60-72

  Prokopec, Tomislav ^a,c   Woodard, Richard ^b  

^a INSTITUT FÜR THEORETISCHE PHYSIK   (Germany)

^b University of Florida ^*  (United States)

^c CERN   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0942267997     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.1596180     Document Type: Article

References (33)

1. E. Hubble, "A relation between distance and radial velocity among extra-galactic nebulae," Proc. Natl. Acad. Sci. (USA) 15, 168-173 (1929).
2. C. W. Wirtz, "Notiz zur Radialbewegung der Spiralnebel," Astron. Nachr. 216, 451 (1922); "De Sitters Kosmologie und die Radialbewegungen der Spiralnebel," 222, 21 (1924).
3. C. W. Wirtz, "Notiz zur Radialbewegung der Spiralnebel," Astron. Nachr. 216, 451 (1922); "De Sitters Kosmologie und die Radialbewegungen der Spiralnebel," 222, 21 (1924).
4. S. Perlmutter et al. [Supernova Cosmology Project Collaboration], "Measurements of Omega and Lambda from 42 high-redshift supernovae," Astrophys. J. 517, 565-586 (1999) or arXiv:astro-ph/9812133.
5. A. G. Riess et al. [Supernova Search Team Collaboration], "Observational evidence from supernovae for an accelerating universe and a cosmological constant," Astrophys. J. 116, 1009-1038 (1998) or arXiv:astro-ph/9805201.
6. C. L. Bennett et al., "First year Wilkinson microwave anisotropy probe (WMAP) observations: Preliminary maps and basic results," arXiv:astro-ph/0302207.
7. D. N. Spergel et al., "First year Wilkinson microwave anisotropy probe (WMAP) observations: Determination of cosmological parameters," arXiv:astro-ph/0302209.
8. B. Ratra and P. J. Peebles, "Cosmological consequences of a rolling homogeneous scalar field," Phys. Rev. D 37, 3406-3427 (1988).
9. R. R. Caldwell, R. Dave, and P. J. Steinhardt, "Cosmological imprint of an energy component with general equation-of-state," Phys. Rev. Lett. 80, 1582-1585 (1998) or arXiv:astro-ph/9708069.
10. A. H. Guth, "The inflationary universe: A possible solution to the horizon and flatness problems," Phys. Rev. D 23, 347-356 (1981).
11. A. A. Starobinsky, "A new type of isotropic cosmological models without singularity," Phys. Lett. B 91, 99-102 (1980).
12. K. Sato, "Cosmological baryon number domain structure and the first order phase transition of a vacuum," Phys. Lett. B 99, 66-70 (1981).
13. D. Kazanas, "Dynamics of the universe and spontaneous symmetry breaking," Astrophys. J. Lett. 241, L59-L63 (1980).
14. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1999), 3rd ed., Chap. 7.
15. M. E. Peskin and D. V. Schroeder, An Introduction to Quantum Field Theory (Addison-Wesley, Reading, MA, 1995), Chap. 7.
16. E. R. Williams, J. E. Faller, and H. A. Hill, "New experimental test of Coulomb's law: A laboratory upper limit on the photon rest mass," Phys. Rev. Lett. 26, 721-724 (1971).
17. A. S. Goldhaber and M. M. Nieto, "Terrestrial and extra-terrestrial limits on the photon mass," Rev. Mod. Phys. 43, 277-296 (1971).
18. J. Schwinger, "Gauge Invariance and Mass. II," Phys. Rev. 128, 2425-2429 (1962).
19. T. Prokopec, O. Törnkvist, and R. Woodard, "Photon mass from inflation," Phys. Rev. Lett. 89, 101301-1-101301-5 (2002) or arXiv:astro-ph/0205331.
20. T. Prokopec, O. Törnkvist, and R. P. Woodard, "One loop vacuum polarization in a locally de Sitter background," Ann. Phys. (Leipzig) 303, 251-274 (2003) or arXiv:gr-qc/0205130.
21. L. Parker, "Quantized fields and particle creation in expanding universes. I," Phys. Rev. 183, 1057-1068 (1969).
22. S. Gasiorowicz, Quantum Physics (Wiley, New York, 1974), p. 361.
23. A.-C. Davis, K. Dimopoulos, T. Prokopec, and O. Törnkvist, "Primordial spectrum of gauge fields from inflation," Phys. Lett. B 501, 165-172 (2001) or astro-ph/0007214.
24. O. Tömkvist, A.-C. Davis, K. Dimopoulos, and T. Prokopec, "Large scale primordial magnetic fields from inflation and preheating," in Verbier 2000, Cosmology and Particle Physics (CAPP2000), (American Institute of Physics, Melville, NY, 2000), pp. 443-446, or astro-ph/0011278.
25. K. Dimopoulos, T. Prokopec, O. Törnkvist, and A.-C. Davis, "Natural magnetogenesis from inflation," Phys. Rev. D 65, 063505-1-063505-26 (2002) or astro-ph/0108093.
26. A. Vilenkin and L. H. Ford, "Gravitational effects upon cosmological phase transitions," Phys. Rev. D 26, 1231-1241 (1982); A. D. Linde, "Scalar field fluctuations in expanding universe and the new inflationary universe scenario," Phys. Lett. 116B, 335-339 (1982); A. A. Starobinsky, "Dynamics of phase transitions in the new inflationary scenario and generation of perturbations," ibid. 117B, 175-178 (1982).
27. A. Vilenkin and L. H. Ford, "Gravitational effects upon cosmological phase transitions," Phys. Rev. D 26, 1231-1241 (1982); A. D. Linde, "Scalar field fluctuations in expanding universe and the new inflationary universe scenario," Phys. Lett. 116B, 335-339 (1982); A. A. Starobinsky, "Dynamics of phase transitions in the new inflationary scenario and generation of perturbations," ibid. 117B, 175-178 (1982).
28. A. Vilenkin and L. H. Ford, "Gravitational effects upon cosmological phase transitions," Phys. Rev. D 26, 1231-1241 (1982); A. D. Linde, "Scalar field fluctuations in expanding universe and the new inflationary universe scenario," Phys. Lett. 116B, 335-339 (1982); A. A. Starobinsky, "Dynamics of phase transitions in the new inflationary scenario and generation of perturbations," ibid. 117B, 175-178 (1982).
29. P. P. Kronberg, "Extragalactic magnetic fields," Rep. Prog. Phys. 57, 325-382 (1994).
30. D. Grasso and H. R. Rubinstein, "Magnetic fields in the early universe," Phys. Rep. 348, 163-266 (2001) or astro-ph/0009061.
31. E. N. Parker, Cosmic Magnetic Fields (Clarendon, Oxford, 1979); Ya. B. Zeldovich, A. A. Ruzmaikin, and D. D. Sokoloff, Magnetic Fields in Astrophysics (Gordon and Breach, New York, 1983).
32. E. N. Parker, Cosmic Magnetic Fields (Clarendon, Oxford, 1979); Ya. B. Zeldovich, A. A. Ruzmaikin, and D. D. Sokoloff, Magnetic Fields in Astrophysics (Gordon and Breach, New York, 1983).
33. A.-C. Davis, M. Lilley, and O. Törnkvist, "Relaxing the bounds on primordial magnetic seed fields," Phys. Rev. D 60, 021301-1-021301-6 (1999) or astro-ph/9904022.