Gauge-invariant critical exponents for the Ginzburg-Landau model

Abstract

The critical behavior of the Ginzburg-Landau model is described in a manifestly gauge-invariant manner. The gauge-invariant correlation-function exponent is computed to first order in the $4-d$ and $1/n$-expansion, and found to agree with the ordinary exponent obtained in the covariant gauge, with the parameter $α=1-d$ in the gauge-fixing term $(\partial_μA_μ)^2 /2 α$.