Entanglement entropy in d+1 SU(N) gauge theory
High Energy Physics - Theory
2008-11-26 v2 Statistical Mechanics
High Energy Physics - Lattice
Abstract
We consider the entanglement entropy for a sub-system in d+1 dimensional SU(N) lattice gauge theory. The 1+1 gauge theory is treated exactly and shows trivial behavior. Gauge theories in higher dimensions are treated within Migdal-Kadanoff approximation. We consider the gauge theory in the confinement phase. We demonstrate the existence of a non-analytical change from the short distance to long distance form in the entanglement entropy in such systems (d>2) reminiscent of a phase transition. The transition is manifested in nontrivial change in the RG flow of the character expansion coefficients defining the partition function.
Cite
@article{arxiv.0801.4111,
title = {Entanglement entropy in d+1 SU(N) gauge theory},
author = {Alexander Velytsky},
journal= {arXiv preprint arXiv:0801.4111},
year = {2008}
}
Comments
9 pages, 5 figures, revised version: one figure added, discussion of the results extended, misprints corrected