Anomalous Dimension of Dirac's Gauge-Invariant Nonlocal Order Parameter in Ginzburg-Landau Field Theory

H. Kleinert; A. M. J. Schakel

doi:10.1016/j.physletb.2005.02.044

paper

Anomalous Dimension of Dirac's Gauge-Invariant Nonlocal Order Parameter in Ginzburg-Landau Field Theory

arXiv:cond-mat/0501036 · doi:10.1016/j.physletb.2005.02.044

Abstract

In a Ginzburg-Landau theory with $n$ fields, the anomalous dimension of the gauge-invariant nonlocal order parameter defined by the long-distance limit of Dirac's gauge-invariant two-point function is calculated. The result is exact for all $n$ to first order in $ε \equiv 4 - d$ , and for all $d \in (2, 4)$ to first order in $1/ n$ , and coincides with the previously calculated gauge-dependent exponent in the Landau gauge.

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