Cosmology of biased discrete symmetry breaking

Graciela B. Gelmini; Marcelo Gleiser; Edward W. Kolb

doi:10.1103/PhysRevD.39.1558

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Cosmology of biased discrete symmetry breaking

Graciela B. Gelmini

Marcelo Gleiser

Edward W. Kolb

International Center for Theoretical Physics, and International School for Advanced Studies, Box 586, 34100 Trieste, Italy

Institute for Theoretical Physics, University of California, Santa Barbara, California 93106

NASA/Fermilab Astrophysics Center, Fermi National Accelerator Laboratory, Box 500, Batavia, Illinois 60510

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Phys. Rev. D 39, 1558 – Published 15 March, 1989

DOI: https://doi.org/10.1103/PhysRevD.39.1558

Abstract

We study the cosmological consequences of spontaneous breaking of an approximate discrete symmetry. The breaking leads to the formation of protodomains of false and true vacuums separated by domain walls of thicknesses determined by the mass scale of the model. The cosmological evolution of the walls is extremely sensitive to the magnitude of the biasing; several scenarios are possible, depending on the interplay between the surface tension on the walls and the volume pressure from the biasing. Walls may disappear almost immediately after they form, or may live long enough to dominate the energy density of the Universe and cause power-law inflation. We obtain limits on the biasing that characterize each possible scenario.

References (12)

For a review on domain walls and other topological defects, see A. Vilenkin, Phys. Rep. 121, 263 (1985).
T. D. Lee, Phys. Rep. 9C, 143 (1974).
R. D. Peccei and H. Quinn, Phys. Rev. Lett. 38, 1440 (1977); S. Weinberg, ibid. 40, 223 (1978); F. Wilczek, ibid. 40, 279 (1978); M. Dine, W. Fischler and M. Srednicki, Phys. Lett. 104B, 199 (1981); M. Wise, H. Georgi and S. L. Glashow, Phys. Rev. Lett. 47, 402 (1981). The existence of a broken $Z_{N}$ in the axion solution to the strong CP problem in QCD was first discussed by P. Sikivie, ibid. 48, 1156 (1982).
Ya. B. Zel'dovich, I. Yu. Kobzarev and L. B. Okun, Zh. Eksp. Teor. Fiz. 67, 3 (1974) [Sov. Phys. JETP 40, 1 (1975)].
T. W. B. Kibble, J. Phys. A 9, 1387 (1976).
A. Vilenkin, Phys. Rev. D 23, 852 (1981).
Sikivie (Ref. 3).
J. Frieman, G. Gelmini, M. Gleiser and E. Kolb, Phys. Rev. Lett. 60, 2101 (1988).
P. J. Steinhardt, Phys. Rev. D 25, 2074 (1982).
D. Stauffer, Phys. Rep. 54, 1 (1979).
D. Seckel, in Inner Space/Outer Space: The Interface Between Cosmology and Particle Physics, proceedings of the Workshop, Batavia, Illinois, 1984, edited by E. Kolb et al.. (University of Chicago Press, Chicago, 1986).
For a review on inflation see, e.g., M. S. Turner, in Architecture of Fundamental Interactions at Short Distances, proceedings of the Les Houches Summer School, Les Houches, France, 1985, edited by P. Ramond and R. Stora (Les Houches Summer School Proceedings Vol. 44) (North-Holland, Amsterdam, 1987).

[c1] For a review on domain walls and other topological defects, see A. Vilenkin, Phys. Rep. 121, 263 (1985).

[c2] T. D. Lee, Phys. Rep. 9C, 143 (1974).

[c3] R. D. Peccei and H. Quinn, Phys. Rev. Lett. 38, 1440 (1977); S. Weinberg, ibid. 40, 223 (1978); F. Wilczek, ibid. 40, 279 (1978); M. Dine, W. Fischler and M. Srednicki, Phys. Lett. 104B, 199 (1981); M. Wise, H. Georgi and S. L. Glashow, Phys. Rev. Lett. 47, 402 (1981). The existence of a broken $Z_{N}$ in the axion solution to the strong CP problem in QCD was first discussed by P. Sikivie, ibid. 48, 1156 (1982).

[c4] Ya. B. Zel'dovich, I. Yu. Kobzarev and L. B. Okun, Zh. Eksp. Teor. Fiz. 67, 3 (1974) [Sov. Phys. JETP 40, 1 (1975)].

[c5] T. W. B. Kibble, J. Phys. A 9, 1387 (1976).

[c6] A. Vilenkin, Phys. Rev. D 23, 852 (1981).

[c7] Sikivie (Ref. 3).

[c8] J. Frieman, G. Gelmini, M. Gleiser and E. Kolb, Phys. Rev. Lett. 60, 2101 (1988).

[c9] P. J. Steinhardt, Phys. Rev. D 25, 2074 (1982).

[c10] D. Stauffer, Phys. Rep. 54, 1 (1979).

[c11] D. Seckel, in Inner Space/Outer Space: The Interface Between Cosmology and Particle Physics, proceedings of the Workshop, Batavia, Illinois, 1984, edited by E. Kolb et al.. (University of Chicago Press, Chicago, 1986).

[c12] For a review on inflation see, e.g., M. S. Turner, in Architecture of Fundamental Interactions at Short Distances, proceedings of the Les Houches Summer School, Les Houches, France, 1985, edited by P. Ramond and R. Stora (Les Houches Summer School Proceedings Vol. 44) (North-Holland, Amsterdam, 1987).

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