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

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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