Symmetry breaking around cosmic strings

Details Symmetry breaking around cosmic strings Symmetry breaking around cosmic strings

Oct 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cqgra...6.1343r&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 6, Oct. 1, 1989, p. 1343-1349.

Physics

5

Broken Symmetry, Field Theory (Physics), String Theory, Perturbation Theory, Scalars, Topology, Vacuum

Scientific paper

The vacuum stability of quantized interacting scalar field theory around a cosmic string is considered. The nontrivial topology allows for both twisted and untwisted field configurations. For a massless theory with a quartic self-interaction, although quantum corrections to the classical theory lead to an effective mass-squared which may be negative, the state phi = 0 is shown to remain stable. The double well potential is also examined. It is shown that if the string is enclosed in a cylindrical shell there is a critical radius below which phi = 0 is stable. Beyond this critical radius the boundary conditions preclude the usual constant field solutions. In this case, approximate solutions are found when the radius is close to the critical value.

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