The renormalization group: Critical phenomena and the Kondo problem

Rev. Mod. Phys. 47, 773 – Published 1 October 1975
Kenneth G. Wilson

Abstract

This review covers several topics involving renormalization group ideas. The solution of the s-wave Kondo Hamiltonian, describing a single magnetic impurity in a nonmagnetic metal, is explained in detail. See Secs. VII-IX. "Block spin" methods, applied to the two dimensional Ising model, are explained in Sec. VI. The first three sections give a relatively short review of basic renormalization group ideas, mainly in the context of critical phenomena. The relationship of the modern renormalization group to the older problems of divergences in statistical mechanics and field theory and field theoretic renormalization is discussed in Sec. IV. In Sec. V the special case of "marginal variables" is discussed in detail, along with the relationship of the modern renormalization group to its original formulation by Gell-Mann and Low and others.

DOI: http://dx.doi.org/10.1103/RevModPhys.47.773

© 1975 The American Physical Society

Authors & Affiliations

Kenneth G. Wilson

  • Laboratory of Nuclear Studies, Cornell University, Ithaca, New York 14850

References (Subscription Required)

Authorization Required


×
×

Images

×

Log In

Cancel
×

Search


Article Lookup
Paste a citation or DOI

Enter a citation
×
  1. Enter a citation to look up or terms to search.

    Ex: "PRL 112 068103", "Phys. Rev. Lett. 112, 068103", "10.1103/PhysRevLett.112.068103"