Critical Exponents in 3.99 Dimensions

1972/01/24 by Kenneth G. Wilson, Michael E. Fisher · 24 citations
Physics and Astronomy · Mathematics · #Theoretical and Computational Physics #Stochastic processes and statistical mechanics #Markov Chains and Monte Carlo Methods #Critical exponent #Physics #Ising model #Exponent #Renormalization group #Order (exchange) #Critical dimension #Mathematical physics #Dimension (graph theory) #Critical phenomena #Condensed matter physics #Combinatorics #Phase transition #Mathematics

paper · doi:10.1103/physrevlett.28.240

openalex publication_date 1972/01/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/10

Abstract

Critical exponents are calculated for dimension d=4\ensuremath-\ensuremathε with \ensuremathε small, using renormalization-group techniques. To order \ensuremathε the exponent \ensuremathγ is 1+(1)/(6)\ensuremathε for an Ising-like model and 1+(1)/(5)\ensuremathε for an XY model.

Citations

• The theory of equilibrium critical phenomena
• Scaling laws for ising models near Tc

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