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VOLUME 72 (2000) | ISSUE 6 | PAGE 487
Critical behaviour of frustrated systems: Monte Carlo simulations versus Renormalization Group
PACS: 05.50.+q, 05.70.Fh, 64.60.Cn, 75.10.-b
We study the critical behaviour of frustrated systems by means of Pade-Borel re-summed 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 resiunmed series and from the possible relevance of non perturbative effects.