Critical behavior of frustrated systems: Monte Carlo simulations versus Renormalization Group

Abstract

We study the critical behavior of frustrated systems by means of Pade-Borel resummed three-loop renormalization-group expansions and numerical Monte Carlo simulations. Amazingly, for six-component spins where the transition is second order, both approaches disagree. This unusual situation is analyzed both from the point of view of the convergence of the resummed series and from the possible relevance of non perturbative effects.

RevTex, 10 pages, 3 Postscript figures

References in corpus (4)

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• Chiral critical behavior in two dimensions from five-loop renormalization-group expansions
• Functional renormalization group approach to non-collinear magnets
• Critical exponent omega at O(1/N) in O(N) x O(m) spin models
• Critical behavior of frustrated spin systems with nonplanar orderings
• Critical Behavior of a General O(n)-symmetric Model of two n-Vector Fields in D=4-2 epsilon