Analytical approach to string-induced phase transition

Physics

Scientific paper

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Particle-Theory And Field-Theory Models Of The Early Universe, Nonlinear Or Nonlocal Theories And Models

Scientific paper

In an earlier work it was shown that gauge-theory strings present in the early Universe could have converted a potentially first-order phase transition into a second-order one. This demonstration was based on numerical integration of the relevant equations. In this paper we discuss the model employed there in a self-contained fashion and present analytical arguments to show that the previous results are of a more general validity, applicable to ``seeding'' in any supercooled medium. It is shown that in the presence of an appropriate seed, the supercooled state does not minimize the free energy (even locally) below a critical temperature. This contrasts with the phase transition in the absence of seeds, which is accompanied by extensive supercooling and which can be completed only by quantum tunneling.

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