Deconfinement transition in 2+1-dimensional SU(4) lattice gauge theory
Philippe de Forcrand (ETH Zurich & CERN), Oliver Jahn (ETH Zurich &, MIT)
TL;DR
This paper investigates the deconfinement transition in 2+1-dimensional SU(4) lattice gauge theory, providing insights into the universality class and critical exponents related to the Svetitsky-Yaffe conjecture.
Contribution
It clarifies the connection between the SU(4) gauge theory and the 2d Ashkin-Teller model, identifying the relevant universality class and critical behavior.
Findings
The critical exponents match the Potts point on the Ashkin-Teller line.
The study adds a missing piece to the Svetitsky-Yaffe conjecture.
The gauge theory's critical behavior is characterized by the Ashkin-Teller model.
Abstract
A missing piece is added to the Svetitsky-Yaffe conjecture. The spin model in the same universality class as the (2+1)d SU(4) theory, the 2d Ashkin-Teller model, has a line of continuously varying critical exponents. The exponents measured in the gauge theory correspond best to the Potts point on the Ashkin-Teller line.
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