Phase Structure of a 3D Nonlocal U(1) Gauge Theory: Deconfinement by Gapless Matter Fields

Abstract

In this paper, we study a 3D compact U(1) lattice gauge theory with a variety of nonlocal interactions that simulates the effects of gapless/gapful matter fields. This theory is quite important to investigate the phase structures of QED${}_3$ and strongly-correlated electron systems like the 2D quantum spin models, the fractional quantum Hall effect, the t-J model of high-temperature superconductivity. We restrict the nonlocal interactions among gauge variables only to those along the temporal direction and adjust their coupling constants optimally to simulate the isotropic nonlocal couplings of the original models. We perform numerical studies of the model to find that, for a certain class of power-decaying couplings, there appears a second-order phase transition to the deconfinement phase as the gauge coupling constant is decreased. On the other hand, for the exponentially-decaying coupling, there are no signals for second-order phase transition. These results indicate the possibility that introduction of sufficient number of massless matter fields destabilizes the permanent confinement in the 3D compact U(1) pure gauge theory due to instantons.

The version to be published in Nucl.Phys.B

References in corpus (8)

• CP^1+U(1) Lattice Gauge Theory in Three Dimensions: Phase Structure, Spins, Gauge Bosons, and Instantons
• Kertesz Line in the Three-Dimensional Compact U(1) Lattice Higgs Model
• Quantum electrodynamics in 2+1 dimensions, confinement, and the stability of U(1) spin liquids
• Metal-Insulator Transition in Two- and Three-Dimensional Logarithmic Plasmas
• Deconfinement Phase Transition in a 3D Nonlocal U(1) Lattice Gauge Theory
• Deconfined quantum criticality of the O(3) nonlinear $\sigma$ model in two spacial dimensions: A renormalization group study
• Instanton correlators and phase transitions in two- and three-dimensional logarithmic plasmas
• Lattice Study of Anisotropic QED-3

Cited by in corpus (9)

• 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
• Antiferromagnetic, metal-insulator, and superconducting phase transitions in underdoped cuprates: Slave-fermion t-J model in the hopping expansion
• Mathematical models of spontaneous symmetry breaking
• 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
• Quantum critical phenomena of unconventional superconductors: U(1) gauge model of link Cooper pair
• Three Phases in the 3D Abelian Higgs Model with Nonlocal Gauge Interactions