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Invisible axions and the QCD phase transition in the early Universe
Phys. Rev. D 33, 910 – Published 15 February, 1986
DOI: https://doi.org/10.1103/PhysRevD.33.910
Abstract
We examine, in detail, the conditions under which the quark-hadron phase transition in the early Universe can influence the previously determined upper bound on the axion decay constant ≲5× GeV. By integrating the axion equation of motion (in general and in a specific model) through the phase transition we find that if the phase transition is sufficiently abrupt the limit on may change by an order of magnitude in either direction (depending on initial conditions); the most probable result is a tightening of the bound by a factor ∼5. Sensitive axion detectors, as are now being contemplated, could conceivably provide information on the Universe at ∼ sec after the big bang.
References (25)
- R. Peccei and H. Quinn, Phys. Rev. Lett. 38, 1440 (1977).
- S. Weinberg, Phys. Rev. Lett. 40, 223 (1978); F. Wilczek, ibid. 40, 279 (1978).
- D. Dicus, E. Kolb, V. Teplitz and R. Wagoner, Phys. Rev. D 18, 1829 (1978); ibid. 22, 839 (1980); M. Fukugita, S. Watamura and M. Yoshimura, Phys. Rev. Lett. 48, 1522 (1982); Phys. Rev. D 26, 1840 (1982) N. Iwamoto, Phys. Rev. Lett. 53, 1198 (1984).
- J. Preskill, M. Wise and F. Wilczek, Phys. Lett. 120B, 127 (1983).
- L. Abbott and P. Sikivie, Phys. Lett. 120B, 133 (1983).
- M. Dine and W. Fischler, Phys. Lett. 120B, 137 (1983).
- L. Yaffe and B. Svetitsky, Phys. Rev. D 26, 963 (1982); J. Kogut et al., Phys. Rev. Lett. 51, 869 (1983); T. Celik, J. Engels and H. Satz, Phys. Lett. 125B, 411 (1983).
- E. Tomboulis and L. Yaffe, Phys. Rev. Lett. 52, 2115 (1984).
- J. Polonyi, H. W. Wyld, J. Kogut, J. Shigemitsu and D. Sinclair, Phys. Rev. Lett. 53, 644 (1984).
- R. Gavai and F. Karsch, Nucl. Phys. B261, 273 (1985).
- R. Pisarski and F. Wilczek, Phys. Rev. D 29, 338 (1984).
- T. DeGrand and K. Kajantie, Phys. Lett. 147B, 273 (1984).
- P. Sikivie, Phys. Rev. Lett. 51, 1415 (1983); ibid. 52, 695 (1983); Phys. Rev. D 32, 2988 (1985).
- L. M. Krauss, J. Moody, F. Wilczek and D. E. Morris, Phys. Rev. Lett. 55, 1797 (1985).
- Additional damping terms may result when the weak coupling between the axion field and other matter is considered. This notion has been introduced and discussed by W. G. Unruh and R. M. Wald, Phys. Rev. D M. Turner32, 831 (1985), and quantitatively analyzed by , ibid. 32, 843 (1985). For a phase transition as abrupt as the one considered in this paper, the coupling to other matter will not produce damping effects. The evolution of the axion field through the phase transition which we develop in this article is akin to the ``supercooling'' and ``phase nonequilibria'' effects mentioned by Unruh and Wald.
- See, however, S.-Y. Pi, Phys. Rev. Lett. 52, 1725 (1984).
- D. Gross, R. Pisarski and L. Yaffe, Rev. Mod. Phys. 53, 43 (1981).
- P. Steinhardt and M. Turner, Phys. Lett. 129B, 51 (1983).
- J. Gasser and H. Leutwyler, Phys. Rep. 87, 78 (1982).
- This fact rules out a possible scenario of large entropy production during the transition, as introduced by Steinhardt and Turner in Ref. 18. Their alternate mechanism for entropy production, namely, decay of a weakly interacting massive particle, is viable; if true, a reanalysis using Eqs. (9) and (10) rather than (9\(fm) and (10\(fm) would be warranted.
- A. Guth, Phys. Rev. D 23, 347 (1981).
- E. Suhoven, Phys. Lett. 119B, 81 (1982).
- E. Witten, Phys. Rev. D 30, 272 (1984).
- C. Hogan, Phys. Lett. 133B, 172 (1983); L. Van Hove, CERN Report No. TH.3623, 1983 (unpublished).
- K. Freese, R. Price and D. Schramm, Astrophys. J. 275, 405 (1983); D. Schramm and K. Olive, Nucl. Phys. A418, 289c (1984).