Statistical mechanics of cosmic strings

David Mitchell; Neil Turok

doi:10.1103/PhysRevLett.58.1577

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Statistical mechanics of cosmic strings

David Mitchell and Neil Turok

Department of Theoretical Physics, The Blackett Laboratory, Imperial College London SW7 2BZ, United Kingdom

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Phys. Rev. Lett. 58, 1577 – Published 13 April, 1987

DOI: https://doi.org/10.1103/PhysRevLett.58.1577

Abstract

An analytic approach to the phase space for a network of cosmic strings is presented, based on earlier work of Frautschi and Carlitz. It correctly predicts the main features of the network at formation, and is in good agreement with the picture emerging from string simulations. Our results also have important implications for superstrings or heterotic strings in the early Universe.

References (17)

T. W. B. Kibble, J. Phys. A 9, 1387 (1976), and Phys. Rep. 67, 183 (1980); Ya. B. Zel'dovich, Mon. Not. Roy. Astron. Soc. 192, 663 (1980); A. Vilenkin, Phys. Rev. Lett. 46, 1169, 1496(E) (1981), and Phys. Rep. 121, 263 (1985).
T. Vachaspati and A. Vilenkin, Phys. Rev. D 30, 2036 (1984).
A. Albrecht and N. Turok, Phys. Rev. Lett. 54, 1868 (1985).
N. Turok, Phys. Rev. Lett. 55, 1801 (1985).
For a review, see N. Turok, in Proceedings of the Eighth Summer Workshop in Astronomy and Astrophysics, Santa Cruz, California, 1986, edited by S. Faber (to be published).
J. Frieman and R. Scherrer, Phys. Rev. D 33, 3556 (1986).
T. W. B. Kibble, Nucl. Phys. B252, 227 (1985), and in Particles and the Universe, edited by G. Lazarides and Q. Shafi (North-Holland, Amsterdam, 1986).
D. P. Bennett, Phys. Rev. D 33, 872 (1986), and 34, 3592 (1986).
S. Frautschi, Phys. Rev. D 3, 2821 (1971).
R. D. Carlitz, Phys. Rev. D 5, 3231 (1972).
M. J. Bowick and L. C. R. Wijewardhana, Phys. Rev. Lett. 54, 2485 (1985).
For discussions, see S. Mandelstam, Phys. Rep. 13C, 259 (1974); J. Scherk, Rev. Mod. Phys. 47, 123 (1975); G. Veneziano, Phys. Rep. 9C, 199 (1974).
G. H. Hardy and S. Ramanujan, Proc. London Math. Soc. 17, 75 (1918).
K. Huang and S. Weinberg, Phys. Rev. Lett. 25, 895 (1970).
D. Mitchell and N. Turok, unpublished.
T. W. B. Kibble, Phys. Rev. D 33, 328 (1986).
For example, Y. Aharonov and A. Casher, Phys. Lett. 166B, 289 (1986).

[c1] T. W. B. Kibble, J. Phys. A 9, 1387 (1976), and Phys. Rep. 67, 183 (1980); Ya. B. Zel'dovich, Mon. Not. Roy. Astron. Soc. 192, 663 (1980); A. Vilenkin, Phys. Rev. Lett. 46, 1169, 1496(E) (1981), and Phys. Rep. 121, 263 (1985).

[c2] T. Vachaspati and A. Vilenkin, Phys. Rev. D 30, 2036 (1984).

[c3] A. Albrecht and N. Turok, Phys. Rev. Lett. 54, 1868 (1985).

[c4] N. Turok, Phys. Rev. Lett. 55, 1801 (1985).

[c5] For a review, see N. Turok, in Proceedings of the Eighth Summer Workshop in Astronomy and Astrophysics, Santa Cruz, California, 1986, edited by S. Faber (to be published).

[c6] J. Frieman and R. Scherrer, Phys. Rev. D 33, 3556 (1986).

[c7] T. W. B. Kibble, Nucl. Phys. B252, 227 (1985), and in Particles and the Universe, edited by G. Lazarides and Q. Shafi (North-Holland, Amsterdam, 1986).

[c8] D. P. Bennett, Phys. Rev. D 33, 872 (1986), and 34, 3592 (1986).

[c9] S. Frautschi, Phys. Rev. D 3, 2821 (1971).

[c10] R. D. Carlitz, Phys. Rev. D 5, 3231 (1972).

[c11] M. J. Bowick and L. C. R. Wijewardhana, Phys. Rev. Lett. 54, 2485 (1985).

[c12] For discussions, see S. Mandelstam, Phys. Rep. 13C, 259 (1974); J. Scherk, Rev. Mod. Phys. 47, 123 (1975); G. Veneziano, Phys. Rep. 9C, 199 (1974).

[c13] G. H. Hardy and S. Ramanujan, Proc. London Math. Soc. 17, 75 (1918).

[c14] K. Huang and S. Weinberg, Phys. Rev. Lett. 25, 895 (1970).

[c15] D. Mitchell and N. Turok, unpublished.

[c16] T. W. B. Kibble, Phys. Rev. D 33, 328 (1986).

[c17] For example, Y. Aharonov and A. Casher, Phys. Lett. 166B, 289 (1986).

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