Modified iterative versus Laplacian Landau gauge in compact U(1) theory
Stephan D\"urr, Philippe de Forcrand
TL;DR
This paper compares modified iterative and Laplacian Landau gauge fixing methods in 4D compact U(1) theory, highlighting differences across phase transitions and emphasizing the importance of removing double Dirac sheets in the Coulomb phase.
Contribution
It provides a comparative analysis of two gauge fixing methods in lattice U(1) theory and underscores the significance of removing double Dirac sheets near the phase transition.
Findings
Differences between methods are evident across phase transitions.
Removing double Dirac sheets is crucial in the Coulomb phase.
Lattice results align with perturbative predictions in the Coulomb phase.
Abstract
Compact U(1) theory in 4 dimensions is used to compare the modified iterative and the Laplacian fixing to lattice Landau gauge in a controlled setting, since in the Coulomb phase the lattice theory must reproduce the perturbative prediction. It turns out that on either side of the phase transition clear differences show up and in the Coulomb phase the ability to remove double Dirac sheets proves vital on a small lattice.
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