$\eps$ expansion analysis of very weak first-order transitions in the cubic anisotropy model: Part I

Details $\eps$ expansion analysis of very weak first-order transitions in the cubic anisotropy model: Part I $\eps$ expansion analysis of very weak first-order transitions in the cubic anisotropy model: Part I

1996-10-22

arxiv.org/abs/hep-ph/9610447v2

Phys.Rev.D55:7760-7775,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

37 pages, Latex, uses revtex, epsf macro packages

Scientific paper

10.1103/PhysRevD.55.7760

The cubic anisotropy model provides a simple example of a system with an arbitrarily weak first-order phase transition. We present an analysis of this model using $\eps$-expansion techniques with results up to next-to-next-to-leading order in $\eps$. Specifically, we compute the relative discontinuity of various physical quantities across the transition in the limit that the transition becomes arbitrarily weakly first-order. This provides a useful test-bed for the application of the $\eps$ expansion in weakly first-order transitions.

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