Tricritical Phenomena in a Z(3) Lattice Gauge Theory
N.S. Ananikian, R.R. Shcherbakov
TL;DR
This paper investigates a Z(3) lattice gauge theory, revealing a phase transition line ending in a tricritical point, by mapping it onto a spin-1 BEG model on a Bethe lattice.
Contribution
It introduces a novel Z(3) gauge model with a double plaquette action and establishes its connection to the spin-1 BEG model, identifying a tricritical point.
Findings
Identified an Ising-type critical line with a second-order phase transition.
Located the tricritical point where the phase transition changes nature.
Mapped the gauge model onto a well-known spin model for analysis.
Abstract
The Z(3) gauge model with double plaquette representation of the action on a generalized Bethe lattice of plaquettes is constructed. It is reduced to the spin-1 Blume-Emery-Griffiths (BEG) model. An Ising-type critical line of a second-order phase transition ending in the tricritical point is found.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.