Large scale magnetogenesis from a nonequilibrium phase transition in the radiation dominated era

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 67, Issue 12, 2003, Pages

  Boyanovsky, D ^a,b   Vega, H J ^a,b   Simionato, M ^a  

^a UNIVERSITY OF PITTSBURGH   (United States)

^b LPTHE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; CHIRALITY; COSMIC RADIATION; DENSITY; DIFFUSION; DYNAMICS; ELECTRON; ENERGY; MAGNETIC FIELD; MATHEMATICAL ANALYSIS; MOTION; PHASE TRANSITION; QUANTUM MECHANICS; THEORY;

EID: 0041627415     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.67.123505     Document Type: Article

References (77)

1. E.N. Parker, Cosmical Magnetic Fields (Clarendon, Oxford, 1979); Ya.B. Zel’dovich, A.A. Ruzmikin, and D.D. Sokoloff, Magnetic Fields in Astrophysics (Gordon and Breach, New York, 1983).
2. P.P. Kronberg, Rep. Prog. Phys. 57, 325 (1994).
3. D. Grasso and H.R. Rubinstein, Phys. Rep. 348, 163 (2001).
4. L. Widrow, Rev. Mod. Phys. 74, 775 (2002).
5. M. Giovannini, hep-ph/0208152, to appear in the Proceedings of the 7th Colloque Cosmologie, edited by H. J. de Vega and N. Sanchez;
6. M. Giovanninihep-ph/0111220.
7. For a recent review on observations, see J.-L. Han and R. Wielebinski, astro-ph/0209090.
8. D. Grasso, hep-ph/0002197
9. P. Elmfors, K. Enqvist, and K. Kainulainen, Phys. Lett. B 440, 269 (1998)
10. M. Giovannini and M.E. Shaposhnikov, Phys. Rev. D 57, 2186 (1998).
11. T. Kahniashvili, A. Kosowsky, A. Mack, and R. Durrer, astro-ph/0011095
12. A. Mack, T. Kahniashvili, and A. Kosowsky, Phys. Rev. D 65, 123004 (2002)
13. Phys. Rev. DR. Durrer, P.G. Ferreira, and T. Kahniashvili, 61, 043001 (2000)
14. J. Adams, U.H. Danielsson, D. Grasso, and H. Rubinstein, Phys. Lett. B 388, 253 (1996).
15. A.D. Dolgov, hep-ph/0110293.
16. C.J. Hogan, Phys. Rev. Lett. 51, 1488 (1983).
17. M.S. Turner and L.M. Widrow, Phys. Rev. D 37, 2743 (1988).
18. W.D. Garretson, G.B. Field, and S.M. Carroll, Phys. Rev. D 46, 5346 (1992)
19. B. Ratra, Astrophys. J. Lett. 391, L1 (1992).
20. M. Giovannini and M.E. Shaposhnikov, Phys. Rev. D 62, 103512 (2000).
21. M. Giovannini and M.E. Shaposhnikov, hep-ph/0011105.
22. A.C. Davis, K. Dimopoulos, T. Prokopec, and O. Tornkvist, Phys. Lett. B 501, 165 (2001)
23. K. Dimopoulos, T. Prokopec, O. Tornkvist, and A.C. Davis, Phys. Rev. D 65, 063505 (2002)
24. T. Prokopec, astro-ph/0106247.
25. E.A. Calzetta and A. Kandus, Phys. Rev. D 65, 063004 (2002)
26. Phys. Rev. DE.A. Calzetta, A. Kandus, and F.D. Mazzitelli, 57, 7139 (1998).
27. B.A. Bassett, G. Pollifrone, S. Tsujikawa, and F. Viniegra, Phys. Rev. D 63, 103515 (2001).
28. F. Finelli and A. Gruppuso, Phys. Lett. B 502, 216 (2001)
29. F. Finelli, astro-ph/0007290.
30. D.S. Lee, W.l. Lee, and K.W. Ng, Phys. Lett. B 542, 1 (2002).
31. A. Dolgov, Phys. Rev. D 48, 2499 (1993).
32. A.-C. Davis and K. Dimopoulos, Phys. Rev. D 55, 7398 (1997)
33. T. Vachaspati, Phys. Lett. B 265, 258 (1991).
34. K. Enqvist and P. Olesen, Phys. Lett. B 319, 178 (1993)
35. Phys. Lett. BK. EnqvistP. Olesen329, 195 (1994);K. Enqvist, in Strong and Electroweak Matter ’97, edited by F. Csikor and Z. Fodor (World Scientific, Singapore, 1998).
36. G. Baym, D. Bodeker, and L. McLerran, Phys. Rev. D 53, 662 (1996).
37. J. Ahonen and K. Enqvist, Phys. Rev. D 57, 664 (1998).
38. D. Boyanovsky, H.J. de Vega, and M. Simionato, Phys. Rev. D 67, 023502 (2003).
39. D. Boyanovsky and H.J. de Vega, Phys. Rev. D 61, 105014 (2000);D. Boyanovsky, H.J. de Vega, and R. Holman, in Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions, edited by Y.M. Bunkov and H. Godfrin, Nato Science Series (Kluwer, Dordrecht, 2000).
40. N. Turok and D.N. Spergel, Phys. Rev. Lett. 66, 3093 (1991)
41. D.N. Spergel, N. Turok, W.H. Press, and B.S. Ryden, Phys. Rev. D 43, 1038 (1991).
42. R. Durrer, M. Kunz, and A. Melchiorri, Phys. Rep. 364, 1 (2002)
43. R. DurrerM. KunzA. MelchiorriPhys. Rev. D 59, 123005 (1999).
44. J.F. Donohue, E. Golovich, and B.R. Holstein, Dynamics of the Standard Model (Cambridge University Press, Cambridge, England, 1992), pp. 158, 159, 170, 171.
45. K. Rajagopal and F. Wilczek, Nucl. Phys. B399, 395 (1993)
46. Nucl. Phys.K. RajagopalF. WilczekB404, 577 (1993);K. Rajagopal, in Quark-Gluon Plasma 2, edited by R.C. Hwa (World Scientific, Singapore, 1995).
47. D. Boyanovsky, H.J. de Vega, R. Holman, and S. Prem Kumar, Phys. Rev. D 56, 5233 (1997)
48. Phys. Rev. DD. BoyanovskyH.J. de VegaR. HolmanS. Prem Kumar56, 3929 (1997).
49. D. Boyanovsky, D. Brahm, R. Holman, and D.S. Lee, Phys. Rev. D 54, 1763 (1996)
50. Phys. Rev. DD. Boyanovsky, H. de Vega, and S.-Y. Wang, 61, 065006 (2000).
51. A. Achúcarro and T. Vachaspati, Phys. Rep. 327, 347 (2000).
52. A. Achúcarro, J. Borrill, and A.R. Liddle, Phys. Rev. D 57, 3742 (1998)
53. A. AchúcarroJ. BorrillA.R. LiddlePhys. Rev. Lett. 82, 3742 (1999)
54. A. AchúcarroJ. BorrillA.R. LiddlePhysica B 255, 116 (1998).
55. M. Hindmarsh, Nucl. Phys. B392, 461 (1993).
56. D. Boyanovsky, D.-S. Lee, and A. Singh, Phys. Rev. D 48, 800 (1993); see also Ref. 26.
57. D. Boyanovsky, H.J. de Vega, R. Holman, and M. Simionato, Phys. Rev. D 60, 065003 (1999)
58. Phys. Rev. DD. Boyanovsky and H.J. de Vega, 59, 105019 (1999)
59. Phys. Rev. DS.-Y. Wang, D. Boyanovsky, H.J. de Vega, and D.-S. Lee, 62, 105026 (2000).
60. G. Baym and H. Heiselberg, Phys. Rev. D 56, 5254 (1997).
61. P. Arnold, G.D. Moore, and L.G. Yaffe, J. High Energy Phys. 11, 1 (2000).
62. D. Boyanovsky, H.J. de Vega, and R. Holman, Phys. Rev. D 49, 2769 (1994)
63. Phys. Rev. DD. Boyanovsky, D. Cormier, H.J. de Vega, R. Holman, A. Singh, and M. Srednicki, 56, 1939 (1997).
64. D. Boyanovsky, D.-S. Lee, and A. Singh, Phys. Rev. D 48, 800 (1993)
65. Phys. Rev. DD. Boyanovsky, H.J. de Vega, R. Holman, D.-S. Lee, and A. Singh, 51, 4419 (1995)
66. Phys. Rev. DD. Boyanovsky, D. Cormier, H.J. de Vega, and R. Holman, 55, 3373 (1997)
67. Phys. Rev. DD. Boyanovsky, D. Cormier, H.J. de Vega, R. Holman, and S. Prem Kumar, 57, 2166 (1998);D. Boyanovsky, H.J. de Vega, and R. Holman, in Proceedings of the Second Paris Cosmology Colloquium, Observatoire de Paris, 1994, edited by H.J. de Vega and N. Sánchez (World Scientific, Singapore, 1995), pp. 127–215;Advances in Astrofundamental Physics, Erice Chalonge Course, edited by N. Sánchez and A. Zichichi (World Scientific, Singapore, 1995);D. Boyanovsky, H.J. de Vega, and R. Holman, in Current Topics in Astrofundamental Physics, Proceedings of the Vth Erice School “D. Chalonge,” edited by N. Sánchez and A. Zichichi (World Scientific, Singapore, 1997), pp. 183–270;D. Boyanovsky, D. Cormier, H.J. de Vega, R. Holman, and S. Prem Kumar, in Current Topics in Astrofundamental Physics, Erice Chalonge School, edited by N. Sánchez and A. Zichichi (Kluwer, Dordrecht, 1998), pp. 119–194
68. D. Boyanovsky and H.J. de Vega, “Out of equilibrium fields in selfconsistent inflationary dynamics: Density fluctuations,” astro-ph/0006446.
69. D. Boyanovsky, H.J. de Vega, R. Holman, and J.F.J. Salgado, Phys. Rev. D 54, 7570 (1996)
70. Phys. Rev. DD. Boyanovsky, C. Destri, H.J. de Vega, R. Holman, and J.F.J. Salgado, 57, 7388 (1998)
71. Phys. Rev. DD. Boyanovsky, H.J. de Vega, R. Holman, and J.F.J. Salgado, 59, 125009 (1999).
72. J.I. Kapusta, Finite Temperature Field Theory, Cambridge Monographs on Mathematical Physics (Cambridge University Press, Cambridge, England, 1989).
73. M. Le Bellac, Thermal Field Theory (Cambridge University Press, Cambridge, England, 1996).
74. A. Dolgov and J. Silk, Phys. Rev. D 47, 3144 (1993).
75. I.S. Gradshteyn and I.M. Ryshik, Table of Integrals, Series and Products (Academic, New York, 1980); N.N. Lebedev, Special Functions and their Applications (Prentice-Hall, Englewood Cliffs, NJ, 1965).
76. D. Boyanovsky, H.J. de Vega, R. Holman, S. Prem Kumar, and R.D. Pisarski, Phys. Rev. D 58, 125009 (1998).
77. D. Boyanovsky, H.J. de Vega, and M. Simionato, Phys. Rev. D 61, 085007 (2000).