Critical Exponents aboveTctoO(1n)

Abstract

Critical exponents are functions of $d$, the dimension, and $n$, the number of components of the order parameter involved in the second-order phase transition. They can be expanded in power series of $\frac{1}{n}$ when $n$ is large. We present details of calculating by perturbation theory the critical exponents above $T_c$ for arbitrary $d$ and to $O\left(\frac{1}{n}\right)$ for short-range interacting systems and also for long-range interacting systems.