Laplacian Center Vortices
Ph. de Forcrand (ETH, CERN), M. Pepe (ETH)
TL;DR
This paper introduces a unified framework for understanding center vortices and Abelian monopoles as gauge ambiguities in the Laplacian Center Gauge, demonstrating their role in confinement in SU(N) theories.
Contribution
It presents a novel gauge fixing method for SU(N) theories that unifies the description of center vortices and monopoles, with numerical evidence supporting their role in confinement.
Findings
Projected $Z_N$ theory reproduces the string tension of the non-Abelian theory.
Laplacian Center Gauge reveals gauge ambiguities corresponding to vortices and monopoles.
Numerical results for SU(2) and SU(3) support the confinement mechanism.
Abstract
I present a unified picture of center vortices and Abelian monopoles. Both appear as local gauge ambiguities in the Laplacian Center Gauge. This gauge is constructed for a general SU(N) theory. Numerical evidence is presented, for SU(2) and SU(3), that the projected theory confines with a string tension similar to the non-Abelian one.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Quantum Chromodynamics and Particle Interactions · Superconducting Materials and Applications