Critical exponents for Gaussian fixed point of renormalization
classification
❄️ cond-mat.stat-mech
keywords
fixedpointcriticalenergyexponentsgaussianrenormalizationarbitrary
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We present mathematical details of derivation of the critical exponents for the free energy and magnetization in the vicinity of the Gaussian fixed point of renormalization. We treat the problem in general terms and do not refer to particular models of interaction energy. We discuss the case of arbitrary dispersion of the fixed point.
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