Vacuum Photon Splitting in Lorentz-Violating Quantum Electrodynamics

Physical Review Letters

Volumn 91, Issue 3, 2003, Pages

  Kostelecký, V Alan ^a   Pickering, Austin G M ^a  

^a INDIANA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DEGRADATION; FERMIONS; KINEMATICS; MATHEMATICAL MODELS; PHOTONS; QUANTUM THEORY; VACUUM APPLICATIONS; VECTORS;

DIRAC FIELD; LORENTZ-VIOLATING QUANTUM ELECTRODYNAMICS; PHYSICAL POLARIZATION VECTORS; VACUUM PHOTON SPLITTING;

ELECTRODYNAMICS;

EID: 0042887459     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.91.031801     Document Type: Article

References (27)

1. J.S. Schwinger, Phys. Rev.10.1103/PhysRev.82.664 82, 664 (1951).
2. V.A. Kostelecký and S. Samuel, Phys. Rev. D10.1103/PhysRevD.39.683 39, 683 (1989);
3. V.A. KosteleckýS. SamuelPhys. Rev. D40, 1886 (1989);
4. V.A. KosteleckýS. SamuelPhys. Rev. Lett.10.1103/PhysRevLett.63.224 63, 224 (1989);
5. V.A. Kostelecký and R. Potting, Nucl. Phys. B359, 545 (1991);
6. V.A. KosteleckýS. SamuelPhys. Lett. B10.1016/0370-2693(96)00589-8 381, 89 (1996).
7. V.A. Kostelecký and R. Potting, Phys. Rev. D10.1103/PhysRevD.51.3923 51, 3923 (1995);
8. D. Colladay and V.A. Kostelecký, Phys. Rev. D10.1103/PhysRevD.55.6760 55, 6760 (1997);
9. V.A. KosteleckýR. PottingPhys. Rev. D58, 116002 (1998).
10. Nonrenormalizable Lorentz-violating terms generate suppressed contributions to the effective action at low energies; see V.A. Kostelecký and R. Lehnert, Phys. Rev. D10.1103/PhysRevD.63.065008 63, 065008 (2001).
11. Although outside our present scope, it would be of interest to consider photon splitting in various nonrenormalizable subsets of the general Lorentz-violating QED. These include noncommutative QED; see S.M. Carroll et al, Phys. Rev. Lett.10.1103/PhysRevLett.87.141601 87, 141601 (2001);
12. Z. Guralnik et al, Phys. Lett. B10.1016/S0370-2693(01)00986-8 517, 450 (2001);
13. C.E. Carlson et al, Phys. Lett. B10.1016/S0370-2693(01)01045-0 518, 201 (2001).
14. S.M. Carroll, G. Field, and R. Jackiw, Phys. Rev. D10.1103/PhysRevD.41.1231 41, 1231 (1990).
15. Radiative corrections to (Formula presented) are considered in R. Jackiw and V.A. Kostelecký, Phys. Rev. Lett.10.1103/PhysRevLett.82.3572 82, 3572 (1999), and references therein.
16. Photon decay with all coefficients zero other than (Formula presented) has recently been studied by C. Adam and F.R. Klinkhamer, Nucl. Phys. B657, 214 (2003).
17. V.A. Kostelecký and M. Mewes, Phys. Rev. Lett.10.1103/PhysRevLett.87.251304 87, 251304 (2001);
18. V.A. KosteleckýM. MewesPhys. Rev. D10.1103/PhysRevD.66.056005 66, 056005 (2002).
19. V.A. Kostelecky, C.D. Lane, and A.G.M. Pickering, Phys. Rev. D10.1103/PhysRevD.65.056006 65, 056006 (2002).
20. Greenberg [Phys. Rev. Lett.10.1103/PhysRevLett.89.231602 89, 231602 (2002)] has shown that (Formula presented) violation must be accompanied by Lorentz violation, so the latter can be viewed as the primary effect even for (Formula presented).
21. For instance, in the two-dimensional Schwinger model for QED, the one-loop effective action is proportional to (Formula presented). See J. Schwinger, Phys. Rev.10.1103/PhysRev.128.2425 128, 2425 (1962).
22. An example in gauge theory can be found in R. Jackiw and S.Y. Pi, Phys. Lett. B10.1016/0370-2693(95)01509-4 368, 131 (1996).
23. P. Havas, Am. J. Phys. 34, 753 (1966).
24. J.A. Giordmaine and R.C. Miller, Phys. Rev. Lett.10.1103/PhysRevLett.14.973 14, 973 (1965).
25. In contrast, non-collinear decays are quartically suppressed. See T. Jacobson, S. Liberati, and D. Mattingly, hep-ph/0209264
26. Historically, photon splitting in conventional Lorentz-invariant QED was suggested as a possible explanation of the redshift: P. Roman, Magyar Fiz. Foly 3, 115 (1955).
27. A phenomenological treatment of cosmological limits is given by Wilkins [Phys. Rev. D10.1103/PhysRevD.21.2122 21, 2122 (1980)].