Abstract
We investigate the propagation of a charged particle in a spatially constant but time-dependent pseudoscalar background. Physically, this pseudoscalar background could be provided by a relic axion density. The background leads to an explicit breaking of Lorentz invariance; processes such as p → pγ or e → eγ are consequently possible under some kinematic constraints. The phenomenon is described by the QED Lagrangian extended with a Chern-Simons term that contains a four-vector characterizing the breaking of Lorentz invariance induced by the time-dependent background. While the induced radiation (similar to the Cherenkov effect) is too small to influence the propagation of cosmic rays significantly, the hypothetical detection of the photons radiated by high-energy cosmic rays via this mechanism would provide an indirect way to verify the cosmological relevance of axions. We discuss the order of magnitude of the effect.
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References
L. F. Abbott and P. Sikivie, Phys. Lett. B, 120, 133–136 (1983).
M. Kuster, G. Raffelt, and B. Beltrán, eds., Axions: Theory, Cosmology, and Experimental Searches (Lect. Notes Phys., Vol. 741), Springer, Berlin (2008).
E. W. Kolb and M. S. Turner, The Early Universe (Frontiers Phys., Vol. 69), Addison-Wesley, Redwood City, Calif. (1990); Y. Sofue and V. Rubin, Ann. Rev. Astron. Astrophys., 39, 137–174 (2001); S. J. Asztalos et al., Astrophys. J. Lett., 571, L27–L30 (2002).
E. I. Gates, G. Gyruk, and M. S. Turner, Astrophys. J. Lett., 449, L123–L126 (1995).
K. Greisen, Phys. Rev. Lett., 16, 748–750 (1996); G. T. Zatsepin and V. A. Kuz’min, JETP Lett., 4, 78–80 (1966).
R. D. Peccei and H. R. Quinn, Phys. Rev. Lett., 38, 1440–1443 (1977); S. Weinberg, Phys. Rev. Lett., 40, 223–226 (1978); F. Wilzcek, Phys. Rev. Lett., 40, 279–282 (1978).
M. Dine, W. Fischler, and M. Srednicki, Phys. Lett. B, 104, 199–202 (1981); A. R. Zhitnitsky, Sov. J. Nucl. Phys., 31, 260 (1980).
J. E. Kim, Phys. Rev. Lett., 43, 103–107 (1979); M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B, 166, 493–506 (1980).
J. Abraham et al. (Pierre Auger Collab.), “The cosmic ray energy spectrum and related measurements with the Pierre Auger observatory,” arXiv:0906.2189v2 [astro-ph.HE] (2009).
K. Nakamura et al. (Particle Data Group), J. Phys. G, 37, 075021 (2010); M. Aguilar et al. (AMS Collab.), Phys. Rept., 366, 331–405 (2002); M. Boezio et al. (CAPRICE Collab.), Astrophys. J., 532, 653–669 (2000); M. Ackermann et al. (Fermi LAT Collab.), Phys. Rev. D, 82, 092004 (2010); arXiv:1008.3999v2 [astro-ph.HE] (2010).
N. Kawanaka, K. Ioka, and M. Nojiri, Astrophys. J., 710, 958–963 (2010).
A. Casadei and V. Bindi, “The local interstellar spectrum of cosmic ray electrons,” in: Proc. 28th Intl. Cosmic Ray Conference, Universal Academy Press, Tokyo (2003), pp. 2001–2004; arXiv:astro-ph/0305487v2 (2003).
C. Amsler et al. (Particle Data Group), Phys. Lett. B, 667, 1–6 (2008).
A. Andrianov, P. Giacconi, and R. Soldati, JHEP, 0202, 030 (2002); arXiv:hep-th/0110279v3 (2001).
A. Andrianov, D. Espriu, P. Giacconi, and R. Soldati, JHEP, 0909, 057 (2009); arXiv:0907.3709v2 [hep-ph] (2009).
D. Espriu, F. Mescia, and A. Renau, JCAP, 1108, 002 (2011); arXiv:1010.2589v2 [hep-ph] (2010).
M. S. Longair, High Energy Astrophysics, Cambridge Univ. Press, Cambridge (1994); B. F. Burke and F. Graham-Smith, An Introduction to Radio Astronomy, Cambridge Univ. Press, Cambridge (1997); E. Orlando, “Gamma rays from interactions of cosmic-ray electrons,” Doctoral dissertation, http://www.imprs-astro.mpg.de/Alumni/Orlando-Elena.pdf, Technical Univ., München (2008).
A. Dar and A. De Rújula, Phys. Rept., 466, 179–241 (2008); arXiv:hep-ph/0606199v2 (2006).
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Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 170, No. 2, pp. 304–320, February, 2012.
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Espriu, D., Renau, A. Axions and cosmic rays. Theor Math Phys 170, 249–262 (2012). https://doi.org/10.1007/s11232-012-0027-4
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DOI: https://doi.org/10.1007/s11232-012-0027-4