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

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.

4 pages, 5 figures, typos corrected

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Cited by in corpus (16)

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• Deconfinement of Spinons on Critical Points: Multi-Flavor CP${}^1$ + U(1) Lattice Gauge Theory in Three Dimensions
• Confinement transition in the QED${}_3$-Gross-Neveu-XY universality class
• Magnetic monopole plasma phase in (2+1)d compact quantum electrodynamics with fermionic matter
• Deconfinement in the presence of a Fermi surface
• Four-dimensional CP${}^1+$ U(1) lattice gauge theory for 3D antiferromagnets: Phase structure, gauge bosons and spin liquid
• Phase Structure of a 3D Nonlocal U(1) Gauge Theory: Deconfinement by Gapless Matter Fields
• Existence of Fermion Zero Modes and Deconfinement of Spinons in Quantum Antiferromagnetism resulting from Algebraic Spin Liquid
• Antiferromagnetic, metal-insulator, and superconducting phase transitions in underdoped cuprates: Slave-fermion t-J model in the hopping expansion
• Massless Fermions and the Instanton Dipole Liquid in Compact QED_3
• Conformal field theory and the hot phase of three-dimensional U(1) gauge theory
• Deconfined quantum criticality in the two dimensional Kondo lattice model
• Phase structure of $Z_2$ gauge theories for frustrated antiferromagnets in two dimensions
• Phase Structure of Anisotropic Antiferromagnetic Heisenberg Model on Layered Triangular Lattice: Spiral State and Deconfined Spin Liquid
• Three Phases in the 3D Abelian Higgs Model with Nonlocal Gauge Interactions
• Quantum critical phenomena of unconventional superconductors: U(1) gauge model of link Cooper pair