Critical Exponents and Scaling Relations in 1/nExpansion

Abstract

The critical exponents ν, η and α are derived in powers of 1/n to first order for the n-vector model (or n-component system) with short-range interactions. Scaling relations χ(q)∼ε^-γf(q/ε^ν), dν=d-α and γ=ν(2-η) are confirmed up to the order of 1/n.