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arXiv · 2211.03006

The infrared Yang-Mills wave functional due to percolating center vortices

D. R. Junior·L. E. Oxman·H. Reinhardt
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Abstract

Inspired by the center-vortex dominance in the infrared sector of $SU(N)$ Yang-Mills theory observed on the lattice, we propose a vacuum wave functional localized on an ensemble of correlated center vortices endowed with stiffness and magnetic monopoles that change the orientation of the vortex flux. In the electric-field representation, this wave functional becomes an effective partition function for N complex scalar fields. The inclusion of both oriented and non-oriented vortices as well as so-called N-vortex matchings leads to an effective potential that has only a center symmetry left. In the center-vortex condensed phase, this symmetry is spontaneously broken. In this case, the Wilson loop average can be approximated by a solitonic saddle-point localized around the minimal surface. The asymptotic string tension thus obtained displays Casimir scaling.

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D. R. Junior, L. E. Oxman, H. Reinhardt. 2022-11-06. The infrared Yang-Mills wave functional due to percolating center vortices. https://doi.org/10.1103/physrevd.106.114021

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