Entanglement entropy in SU(N) gauge theory
Alexander Velytsky
TL;DR
This paper investigates the entanglement entropy in SU(N) gauge theories, revealing non-analytical behavior akin to phase transitions in higher dimensions, using exact solutions in 1+1 dimensions and approximations in higher dimensions.
Contribution
It provides the first exact analysis of entanglement entropy in 1+1 dimensions and demonstrates phase transition-like behavior in higher dimensions within SU(N) gauge theories.
Findings
Exact results for 1+1 dimensions
Non-analytical behavior indicating phase transition
Approximate analysis in higher dimensions
Abstract
The entanglement entropy of SU(N) lattice gauge theory is studied exactly in 1+1 space-time dimensions and in Migdal-Kadanoff approximation in higher dimensional space. The existence of a non-analytical behavior reminiscent of a phase transition for a characteristic size of the entangled region is demonstrated for higher dimensional theories.
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