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The renormalization group in the theory of critical behavior

Michael E. Fisher

Michael E. Fisher

  • Baker Laboratory and Materials Science Center, Cornell University, Ithaca, New York 14850

Rev. Mod. Phys. 46, 597 – Published 1 October, 1974Erratum Rev. Mod. Phys. 47, 543 (1975)

DOI: https://doi.org/10.1103/RevModPhys.46.597

Abstract

The renormalization group approach to the theory of critical behavior is reviewed at an introductory level with emphasis on magnetic systems. Among recent results reported are the dependence of critical exponents above Tc on dimensionality d=4ε; on the symmetry index or number of spin components, n; on the range and anisotropy of exchange couplings; and on dipolar interactions and lattice anisotropies, in ferro- and antiferromagnets. Calculations of the scaling functions for the equation of state and critical scattering are summarized.

Erratum

Erratum: The renormalization group in the theory of critical behavior

Michael E. Fisher
Rev. Mod. Phys. 47, 543 (1975)

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