Vortex free energies in SO(3) and SU(2) lattice gauge theory
Philippe de Forcrand, Oliver Jahn
TL;DR
This paper compares SO(3) and SU(2) lattice gauge theories by measuring vortex free energies, providing insights into confinement and deconfinement transitions without relying on center symmetry.
Contribution
It introduces a method to measure vortex free energies in both theories and uses these measurements to calibrate the scale in SO(3).
Findings
Vortex free energies serve as an order parameter for confinement.
Results enable calibration of the SO(3) scale.
Comparison enhances understanding of gauge theory phase transitions.
Abstract
Lattice gauge theories with gauge groups SO(3) and SU(2) are compared. The free energy of electric twist, an order parameter for the confinement-deconfinement transition which does not rely on centre-symmetry breaking, is measured in both theories. The results are used to calibrate the scale in SO(3).
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