Oscillations of a neutrino background: A field-Theoretic treatment

International Journal of Modern Physics A

Volumn 11, Issue 1, 1996, Pages 141-159

  D'Olivo, J C ^a   Nieves, José F ^b  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^b UNIVERSITY OF PUERTO RICO   (Puerto Rico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1542638492     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X96000079     Document Type: Article

References (39)

1. L. Wolfenstein, Phys. Rev. D17, 2369 (1978); 20, 2634 (1979); S. P. Mikheyev and A. Yu. Smirnov, Yad. Fiz. 42, 1441 (1985) [Sov. J. Nucl. Phys. 42, 913 (1985)]; Nuovo Cimento C9, 17 (1986).
2. L. Wolfenstein, Phys. Rev. D17, 2369 (1978); 20, 2634 (1979); S. P. Mikheyev and A. Yu. Smirnov, Yad. Fiz. 42, 1441 (1985) [Sov. J. Nucl. Phys. 42, 913 (1985)]; Nuovo Cimento C9, 17 (1986).
3. L. Wolfenstein, Phys. Rev. D17, 2369 (1978); 20, 2634 (1979); S. P. Mikheyev and A. Yu. Smirnov, Yad. Fiz. 42, 1441 (1985) [Sov. J. Nucl. Phys. 42, 913 (1985)]; Nuovo Cimento C9, 17 (1986).
4. L. Wolfenstein, Phys. Rev. D17, 2369 (1978); 20, 2634 (1979); S. P. Mikheyev and A. Yu. Smirnov, Yad. Fiz. 42, 1441 (1985) [Sov. J. Nucl. Phys. 42, 913 (1985)]; Nuovo Cimento C9, 17 (1986).
5. L. Wolfenstein, Phys. Rev. D17, 2369 (1978); 20, 2634 (1979); S. P. Mikheyev and A. Yu. Smirnov, Yad. Fiz. 42, 1441 (1985) [Sov. J. Nucl. Phys. 42, 913 (1985)]; Nuovo Cimento C9, 17 (1986).
6. For reviews of neutrino oscillations in matter, see: S. P. Mikheyev and A. Yu. Smirnov, Usp. Fiz. Nauk 153, 3 (1987) [Sov. Phys. Usp. 30, 759 (1987)]; T. K. Kuo and J. Pantaleone, Rev. Mod. Phys. 61, 937 (1989); P. B. Pal, Int. J. Mod. Phys. A7, 5387 (1992).
7. For reviews of neutrino oscillations in matter, see: S. P. Mikheyev and A. Yu. Smirnov, Usp. Fiz. Nauk 153, 3 (1987) [Sov. Phys. Usp. 30, 759 (1987)]; T. K. Kuo and J. Pantaleone, Rev. Mod. Phys. 61, 937 (1989); P. B. Pal, Int. J. Mod. Phys. A7, 5387 (1992).
8. For reviews of neutrino oscillations in matter, see: S. P. Mikheyev and A. Yu. Smirnov, Usp. Fiz. Nauk 153, 3 (1987) [Sov. Phys. Usp. 30, 759 (1987)]; T. K. Kuo and J. Pantaleone, Rev. Mod. Phys. 61, 937 (1989); P. B. Pal, Int. J. Mod. Phys. A7, 5387 (1992).
9. For reviews of neutrino oscillations in matter, see: S. P. Mikheyev and A. Yu. Smirnov, Usp. Fiz. Nauk 153, 3 (1987) [Sov. Phys. Usp. 30, 759 (1987)]; T. K. Kuo and J. Pantaleone, Rev. Mod. Phys. 61, 937 (1989); P. B. Pal, Int. J. Mod. Phys. A7, 5387 (1992).
10. J. N. Bahcall, Neutrino Astrophysics (Cambridge University Press, Cambridge, England, 1989). For a review of the present status of the solar neutrino problem, see: N. Hata, University of Pennsylvania Report No. UPR-0612T (1994).
11. J. N. Bahcall, Neutrino Astrophysics (Cambridge University Press, Cambridge, England, 1989). For a review of the present status of the solar neutrino problem, see: N. Hata, University of Pennsylvania Report No. UPR-0612T (1994).
12. J. Pantaleone, Phys. Lett. B287, 128 (1992); Phys. Rev. D46, 510 (1992). See also: S. Samuel, Phys. Rev. D48, 1462 (1993); V. A. Kostelecký and S. Samuel, ibid. 49, 1740 (1994); J. C. D'Olivo and J. F. Nieves, Nucl. Phys. B35, 466 (1994) (proc. suppl.).
13. J. Pantaleone, Phys. Lett. B287, 128 (1992); Phys. Rev. D46, 510 (1992). See also: S. Samuel, Phys. Rev. D48, 1462 (1993); V. A. Kostelecký and S. Samuel, ibid. 49, 1740 (1994); J. C. D'Olivo and J. F. Nieves, Nucl. Phys. B35, 466 (1994) (proc. suppl.).
14. J. Pantaleone, Phys. Lett. B287, 128 (1992); Phys. Rev. D46, 510 (1992). See also: S. Samuel, Phys. Rev. D48, 1462 (1993); V. A. Kostelecký and S. Samuel, ibid. 49, 1740 (1994); J. C. D'Olivo and J. F. Nieves, Nucl. Phys. B35, 466 (1994) (proc. suppl.).
15. J. Pantaleone, Phys. Lett. B287, 128 (1992); Phys. Rev. D46, 510 (1992). See also: S. Samuel, Phys. Rev. D48, 1462 (1993); V. A. Kostelecký and S. Samuel, ibid. 49, 1740 (1994); J. C. D'Olivo and J. F. Nieves, Nucl. Phys. B35, 466 (1994) (proc. suppl.).
16. J. Pantaleone, Phys. Lett. B287, 128 (1992); Phys. Rev. D46, 510 (1992). See also: S. Samuel, Phys. Rev. D48, 1462 (1993); V. A. Kostelecký and S. Samuel, ibid. 49, 1740 (1994); J. C. D'Olivo and J. F. Nieves, Nucl. Phys. B35, 466 (1994) (proc. suppl.).
17. A comprehensive review of the general formalism, with an extensive list of references, is given by: N. P. Landsman and Ch. G. van Weert, Phys. Rep. 145, 141 (1987). For some applications to neutrino physics, see: J. F. Nieves, in Particles and Fields (IV Mexican School), eds. J. L. Lucio and A. Zepeda (World Scientific, Singapore, 1992), and references therein.
18. A comprehensive review of the general formalism, with an extensive list of references, is given by: N. P. Landsman and Ch. G. van Weert, Phys. Rep. 145, 141 (1987). For some applications to neutrino physics, see: J. F. Nieves, in Particles and Fields (IV Mexican School), eds. J. L. Lucio and A. Zepeda (World Scientific, Singapore, 1992), and references therein.
19. P. B. Pal and T. N. Pham, Phys. Rev. D40, 714 (1989); J. F. Nieves, Phys. Rev. D40, 866 (1989).
20. P. B. Pal and T. N. Pham, Phys. Rev. D40, 714 (1989); J. F. Nieves, Phys. Rev. D40, 866 (1989).
21. D. Nötzold and G. Raffelt, Nucl. Phys. B307, 924 (1988); J. C. D'Olivo, J. F. Nieves and M. Torres, Phys. Rev. D46, 1172 (1992).
22. D. Nötzold and G. Raffelt, Nucl. Phys. B307, 924 (1988); J. C. D'Olivo, J. F. Nieves and M. Torres, Phys. Rev. D46, 1172 (1992).
23. A. D. Dolgov, Sov. J. Nucl. Phys. 33, 700 (1981); L. Stodolsky, Phys. Rev. D36, 2273 (1987); K. Enqvist, K. Kainulainen and J. Maalampi, Nucl. Phys. B349, 754 (1991); R. Barbieri and A. Dolgov, Nucl. Phys. B349, 743 (1991); K. Enqvist, K. Kainulainen and M. Thomson, Nucl. Phys. B373, 498 (1992); X. Shi, D. N. Schramm and B. D. Fields, Phys. Rev. D48, 2563 (1993).
24. A. D. Dolgov, Sov. J. Nucl. Phys. 33, 700 (1981); L. Stodolsky, Phys. Rev. D36, 2273 (1987); K. Enqvist, K. Kainulainen and J. Maalampi, Nucl. Phys. B349, 754 (1991); R. Barbieri and A. Dolgov, Nucl. Phys. B349, 743 (1991); K. Enqvist, K. Kainulainen and M. Thomson, Nucl. Phys. B373, 498 (1992); X. Shi, D. N. Schramm and B. D. Fields, Phys. Rev. D48, 2563 (1993).
25. A. D. Dolgov, Sov. J. Nucl. Phys. 33, 700 (1981); L. Stodolsky, Phys. Rev. D36, 2273 (1987); K. Enqvist, K. Kainulainen and J. Maalampi, Nucl. Phys. B349, 754 (1991); R. Barbieri and A. Dolgov, Nucl. Phys. B349, 743 (1991); K. Enqvist, K. Kainulainen and M. Thomson, Nucl. Phys. B373, 498 (1992); X. Shi, D. N. Schramm and B. D. Fields, Phys. Rev. D48, 2563 (1993).
26. A. D. Dolgov, Sov. J. Nucl. Phys. 33, 700 (1981); L. Stodolsky, Phys. Rev. D36, 2273 (1987); K. Enqvist, K. Kainulainen and J. Maalampi, Nucl. Phys. B349, 754 (1991); R. Barbieri and A. Dolgov, Nucl. Phys. B349, 743 (1991); K. Enqvist, K. Kainulainen and M. Thomson, Nucl. Phys. B373, 498 (1992); X. Shi, D. N. Schramm and B. D. Fields, Phys. Rev. D48, 2563 (1993).
27. A. D. Dolgov, Sov. J. Nucl. Phys. 33, 700 (1981); L. Stodolsky, Phys. Rev. D36, 2273 (1987); K. Enqvist, K. Kainulainen and J. Maalampi, Nucl. Phys. B349, 754 (1991); R. Barbieri and A. Dolgov, Nucl. Phys. B349, 743 (1991); K. Enqvist, K. Kainulainen and M. Thomson, Nucl. Phys. B373, 498 (1992); X. Shi, D. N. Schramm and B. D. Fields, Phys. Rev. D48, 2563 (1993).
28. A. D. Dolgov, Sov. J. Nucl. Phys. 33, 700 (1981); L. Stodolsky, Phys. Rev. D36, 2273 (1987); K. Enqvist, K. Kainulainen and J. Maalampi, Nucl. Phys. B349, 754 (1991); R. Barbieri and A. Dolgov, Nucl. Phys. B349, 743 (1991); K. Enqvist, K. Kainulainen and M. Thomson, Nucl. Phys. B373, 498 (1992); X. Shi, D. N. Schramm and B. D. Fields, Phys. Rev. D48, 2563 (1993).
29. G. Sigl and G. Raffelt, Nucl. Phys. B406, 423 (1993); B. H. J. McKellar and M. J. Thomson, Phys. Rev. D49, 2710 (1994).
30. G. Sigl and G. Raffelt, Nucl. Phys. B406, 423 (1993); B. H. J. McKellar and M. J. Thomson, Phys. Rev. D49, 2710 (1994).
31. An analysis of the damping effects along the same lines has been given by: J. M. Cline, Phys. Rev. Lett. 68, 3137 (1992). Our results provide a justification and generalization of the approach adopted there.
32. v do not appear at the one-loop level and for this reason we exclude them from the beginning.
33. J. F. Nieves, Phys. Rev. D40, 866 (1989). As shown there, Nκ = (∂f/∂ω)|ω=κ, where f = (1 - a)(ω - κ) - b.
34. Y.-Z. Qian and G. M. Fuller, Phys. Rev. D51, 1479 (1995).
35. J. Pantaleone, Phys. Lett. B342, 250 (1995); G. Sigl, Phys. Rev. D51, 4035 (1995).
36. J. Pantaleone, Phys. Lett. B342, 250 (1995); G. Sigl, Phys. Rev. D51, 4035 (1995).
37. Paul Langacker and Jiang Liu, Phys. Rev. D46, 4140 (1992).
38. V. A. Kostelecky, J. Pantaleone and S. Samuel, Phys. Lett. B315, 46 (1993).
39. eff and the elements of the fermion self-energy matrix, see: J. C. D'Olivo and J. F. Nieves, "Remarks on the Coulomb and covariant gauges in finite temperature QED," preprint LTP-043-UPR (May 1995).