Deconfinement Phase Transition in a 3D Nonlocal U(1) Lattice Gauge Theory

TL;DR

This paper investigates a 3D nonlocal U(1) lattice gauge theory, revealing a second-order phase transition for power-law interactions and no such transition for exponential decay, relevant to condensed matter and quantum field theories.

Contribution

It introduces a novel 3D nonlocal U(1) lattice gauge model and analyzes its phase structure, connecting it to physical systems like QED3 and cuprate superconductors.

Findings

Second-order phase transition for power-law decay interactions.

No second-order transition for exponential decay interactions.

Relevance to condensed matter systems and quantum field theories.

Abstract

We introduce a 3D compact U(1) lattice gauge theory having nonlocal interactions in the temporal direction, and study its phase structure. The model is relevant for the compact QED$_3$ and strongly correlated electron systems like the t-J model of cuprates. For a power-law decaying long-range interaction, which simulates the effect of gapless matter fields, a second-order phase transition takes place separating the confinement and deconfinement phases. For an exponentially decaying interaction simulating matter fields with gaps, the system exhibits no signals of a second-order transition.