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

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

2005-01-04

arxiv.org/abs/cond-mat/0501036v2

Phys.Lett. B611 (2005) 182-188

Physics

Condensed Matter

Superconductivity

Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper http://www.physi

Scientific paper

10.1016/j.physletb.2005.02.044

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 $\epsilon \equiv 4-d$, 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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