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Subleading critical exponents from the renormalisation group

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arxiv hep-th/0310101 v1 pith:ETV7ATL7 submitted 2003-10-10 hep-th cond-mat.stat-mech

classification hep-thcond-mat.stat-mech
keywords leadingantisymmetriccorrectionscutoffsexponentsgrouporderrenormalisation
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We study exact renormalisation group equations for the 3d Ising universality class. At the Wilson-Fisher fixed point, symmetric and antisymmetric correction-to-scaling exponents are computed with high accuracy for an optimised cutoff to leading order in the derivative expansion. Further results are derived for other cutoffs including smooth, sharp and background field cutoffs. An estimate for higher order corrections is given as well. We establish that the leading antisymmetric corrections to scaling are strongly subleading compared to the leading symmetric ones.

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  1. The dynamic critical exponent $z$ of the three-dimensional Ising universality class: Monte Carlo simulations of the improved Blume-Capel model

    cond-mat.stat-mech 2019-08 conditional novelty 5.0 of 10

    Monte Carlo simulations of the improved Blume-Capel model give the dynamic critical exponent of the 3D Ising universality class as z = 2.0245(15).

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