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

Abstract

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.

37 pages, Latex, uses revtex, epsf macro packages

References in corpus (8)

• Is There a Hot Electroweak Phase Transition at $m_H\gsim m_W$?
• 3D Physics and the Electroweak Phase Transition: Perturbation Theory
• The Standard Model Effective Potential at Two Loops
• The $\epsilon$-expansion and the electroweak phase transition
• Radiatively-Induced First-Order Phase Transitions: The Necessity of the Renormalization Group
• High Temperature Phase Transition in Two-Scalar Theories
• Weakly first-order phase transitions: the epsilon expansion vs. numerical simulations
• $\epsilon$ expansion analysis of very weak first-order transitions in the cubic anisotropy model, Part II

Cited by in corpus (6)

• Monte Carlo study of very weak first-order transitions in the three-dimensional Ashkin-Teller model
• Critical Line for H-Superfluidity in Strange Quark Matter?
• On a three-dimensional symmetric Ising tetrahedron, and contributions to the theory of the dilogarithm and Clausen functions
• Dynamics near the critical point: the hot renormalization group in quantum field theory
• The Exact Renormalization Group and First-Order Phase Transitions
• $\epsilon$ expansion analysis of very weak first-order transitions in the cubic anisotropy model, Part II