QED${}_3$ on a space-time lattice: compact versus noncompact formulation

Abstract

We study quantum electrodynamics in a (2+1)-dimensional space-time with two flavors of dynamical fermions by numerical simulations on the lattice. We discretize the theory using both the compact and the noncompact formulations and analyze the behavior of the chiral condensate and of the monopole density in the finite lattice regime as well as in the continuum limit. By comparing the results obtained with the two approaches, we draw some conclusions about the possible equivalence of the two lattice formulations in the continuum limit.

7 pages, 9 figures; uses revtex4.cls; replaced with published version; two Comments added with respect to the previous one

References in corpus (24)

• The pseudogap in high-temperature superconductors: an experimental survey
• "Deconfined" quantum critical points
• Quantum Orders and Symmetric Spin Liquids
• On the stability of U(1) spin liquids in two dimensions
• QED3 theory of pairing pseudogap in cuprates: From d-wave superconductor to antiferromagnet via "algebraic" Fermi liquid
• Algebraic Fermi liquid from phase fluctuations: "topological" fermions, vortex "berryons" and QED3 theory of cuprate superconductors
• QED3 theory of underdoped high temperature superconductors
• A New Constraint on Strongly Coupled Field Theories
• Dynamical Chiral Symmetry Breaking in Unquenched ${QED}_3$
• Non-Compact QED_3 with N_f=1 and N_f=4
• Non-compact QED_3 with N_f >=2
• Chiral Symmetry Breaking and Phase Fluctuations in Cuprate Superconductors: A QED${}_3$ Unified Theory of the Pseudogap State
• Deconfinement transition in three-dimensional compact U(1) gauge theories coupled to matter fields
• Permanent confinement in the compact QED3 with fermionic matter
• Infrared cutoff dependence of the critical flavor number in three-dimensional QED
• Confinement-Deconfinement Transition in 3-Dimensional QED
• SU(N) Quantum Antiferromagnets and the Phase Structure of QED in the Strong Coupling Limit
• QED${}_3$ with Dynamical Fermions in an External Magnetic Field
• Charge Screening and Confinement in Hot 3-D QED
• Strong Coupling Qed Breaks Chiral Symmetry
• Phase Structure of Compact $QE{D}_3$ with Massless Fermions
• Chiral Dynamics and Fermion Mass Generation in Three Dimensional Gauge Theory
• Lattice Study of Anisotropic QED-3
• Finite temperature QED3 with light fermions

Cited by in corpus (14)

• From high temperature supercondutivity to quantum spin liquid: progress in strong correlation physics
• On the Phase Structure of Many-Flavor QED${}_3$
• Monte Carlo Study of Lattice Compact Quantum Electrodynamics with Fermionic Matter: the Parent State of Quantum Phases
• Tensor network simulation of QED on infinite lattices: learning from (1+1)d, and prospects for (2+1)d
• Confinement transition in the QED${}_3$-Gross-Neveu-XY universality class
• Non-perturbative beta function in three-dimensional electrodynamics
• Magnetic monopole plasma phase in (2+1)d compact quantum electrodynamics with fermionic matter
• Real-time lattice gauge theory actions: unitarity, convergence, and path integral contour deformations
• Chiral Symmetry Breaking in Planar QED in External Magnetic Fields
• Phase of the fermion determinant in QED_3 using a gauge invariant lattice regularization
• Chiral symmetry breaking and monopole dynamics in non-compact QED3 coupled to a four-fermi interaction
• Instability in scalar channel of fermion-antifermion scattering amplitude in massless QED_3 and anomalous dimensions of composite operators
• Scalable hybrid quantum Monte Carlo simulation of U(1) gauge field coupled to fermions on GPU
• Probing Non-Fermi-Liquid Behaviour of Composite Fermi Liquid via Efficient Thermal Simulations