Scaling function for critical scattering

Michael E. Fisher*, Amnon Aharony

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The zero-field, two-point correlation function of an n-vector system in d=4-ε dimensions is calculated to order ε2 for T>~Tc. The scaling function is obtained as a closed, cutoff-independent integral. As t=(T-Tc)Tc→0 at fixed wave vector q, the leading variation is E1n,d(q)t1-α+E2n,d(q)t, where α is the specific-heat exponent; thence the maximum in the scattering above Tc is located, in good agreement with high-T series-expansion estimates.

Original languageEnglish
Pages (from-to)1238-1241
Number of pages4
JournalPhysical Review Letters
Issue number20
StatePublished - 1973
Externally publishedYes


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