Weakly first-order phase transitions: the epsilon expansion vs. numerical simulations

Details Weakly first-order phase transitions: the epsilon expansion vs. numerical simulations Weakly first-order phase transitions: the epsilon expansion vs. numerical simulations

1996-10-31

arxiv.org/abs/hep-ph/9611201v1

Phys.Rev.Lett.78:2062-2065,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, Latex, uses revtex, epsf macro packages

Scientific paper

10.1103/PhysRevLett.78.2062

Some phase transitions of cosmological interest may be weakly first-order and cannot be analyzed by a simple perturbative expansion around mean field theory. We propose a simple two-scalar model--the cubic anisotropy model--as a foil for theoretical techniques to study such transitions, and we review its similarities and dissimilarities to the electroweak phase transition in the early universe. We present numerical Monte Carlo results for various discontinuities across very weakly first-order transitions in this model and, as an example, compare them to epsilon-expansion results. For this purpose, we have computed through next-to-next-to-leading order in epsilon.

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