Weak-field expansion for processes in a homogeneous background magnetic field

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 62, Issue 10, 2000, Pages 13-

  Chyi, Tzuu Kang ^a   Hwang, Chien Wen ^a   Kao, W F ^a   Lin, Guey Lin ^a   Ng, Kin Wang ^a   Tseng, Jie Jun ^a  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17044428589     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.62.105014     Document Type: Article

References (31)

1. For a comprehensive review, see G. G. Raffelt, Stars as Laboratories for Fundamental Physics (University of Chicago Press, Chicago, 1996).
2. D. Nötzold and G. G. Raffelt, Nucl. Phys. B307, 924 (1988);
3. P. B. Pal and T. N. Pham, Phys. Rev. D 40, 259 (1989);
4. Phys. Rev. DJ. F. Nieves, 40, 866 (1989);
5. K. Enqvist, K. Kainulainen, and J. Maalampi, Nucl. Phys. B349, 754 (1991).
6. R. Shaisultanov, Phys. Rev. Lett. 80, 1586 (1998).
7. T.-K. Chyi, C.-W. Hwang, W. F. Kao, G.-L. Lin, K.-W. Ng, and J.-J. Tseng, Phys. Lett. B 466, 274 (1999).
8. M. Gell-Mann, Phys. Rev. Lett. 6, 70 (1961).
9. For earlier works, see W.-y. Tsai, Phys. Rev. D 10, 1342 (1974);
10. Phys. Rev. DW.-y. Tsai10, 2699 (1974).
11. J. Schwinger, Phys. Rev. 82, 664 (1951).
12. A. Chodos, K. Everding, and D. A. Owen, Phys. Rev. D 42, 2881 (1990).
13. D. A. Dicus and W. W. Repko, Phys. Rev. Lett. 79, 569 (1997);
14. D. A. Dicus, C. Kao, and W. W. Repko, Phys. Rev. D 59, 013005 (1999).
15. D. V. Galtsov and N. S. Nikitina, Zh. Éksp. Teor. Fiz. 62, 2008 (1972) [Sov. Phys. JETP 35, 1047 (1972)].
16. V. V. Skobelev, Zh. Éksp. Teor. Fiz. 71, 1263 (1976) [Sov. Phys. JETP 44, 660 (1976)].
17. L. L. DeRaad, Jr., K. A. Milton, and N. D. Hari Dass, Phys. Rev. D 14, 3326 (1976).
18. I. M. Singer and J. A. Thorpe, Lecture Notes on Elementary Topology and Geometry (Springer-Verlag, New York, 1967);
19. N. Steenrod, The Topology of Fibre Bundles (Princeton University Press, Princeton, NJ, 1970);
20. C. Nash and S. Sen, Topology and Geometry for Physicists (Academic, London, 1983).
21. R. P. Grimaldi, Discrete and Combinatorial Mathematics (Addison-Wesley, Reading, MA, 1989).
22. The minus sign in the tensor structure multiplied by (Formula presented) was misprinted as the plus sign in the earlier version of this paper. We thank Dicus and Repko for pointing this out to us.
23. We have neglected the Pauli blocking factor for the final state fermions. Adding these factors does not change our result significantly.
24. A. N. Ioannisian and G. G. Raffelt, Phys. Rev. D 55, 7038 (1996).
25. S. L. Adler, Ann. Phys. (N.Y.) 67, 599 (1971). Note that the definition of photon polarization states in this article is opposite to ours.
26. In principle, such a result can also be obtained from Eq. (51) of Ref. 18 by simultaneously performing the weak-field and low-energy expansions.
27. W.-F. Kao, G.-L. Lin, and J.-J. Tseng, hep-ph/0008240.
28. J. S. Toll, Ph.D. thesis, Princeton University, 1952;
29. W.-y. Tsai and T. Erber, Phys. Rev. D 10, 492 (1974).
30. V. N. Baier, A. I. Milstein, and R. Shaisultanov, Phys. Rev. Lett. 77, 1691 (1996);
31. Phys. Rev. Lett.S. L. Adler and C. Schubert, 77, 1695 (1996).