Volume 483 - The XVIth Quark Confinement and the Hadron Spectrum Conference (QCHSC24) - Section A: Vacuum Structure and Confinement
Flux tube formation and the Weingarten representation of center vortices and chains
L.E. Oxman* and D.R. Junior
*: corresponding author
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Published on: October 27, 2025
Abstract
We review some recent results regarding the formulation of mixed ensembles of oriented and nonoriented center vortices based on the Weingarten representation for the sum over surfaces. This framework enabled a partition function for the Abelian-projected ensemble of vortex worldsurfaces, previously formulated as a wavefunctional peaked at center-vortex loops. In particular, we showed how an Abelian ensemble can account for 𝑁-ality while supporting a “dual superconductor” model for confinement. This formulation also clarified the description of the Goldstone modes for percolating surfaces with non-Abelian degrees of freedom, used in the original mechanism for the formation of a confining flux tube due to the percolating mixed ensemble.
DOI: https://doi.org/10.22323/1.483.0035
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