Chiral Symmetry breaking in Three Dimensional QED

Abstract

Over the past few years three dimensional Quantum Electrodynamics (QED${}_3$) has attracted a lot of attention, because it may be an effective theory for the underdoped and non-superconducting region of the phase diagram of high $T_c$ cuprate compounds. We present results from lattice simulations of the non-compact version of the theory in order to address the issue of whether chiral symmetry is spontaneously broken when the number of fermion flavours $N_f$ is less than a critical value $N_{fc}$. Our results provide strong evidence that QED${}_3$ is chirally symmetric for $N_f\ge 1.5$, implying that a pseudogap phase separates the superconducting phase from the antiferromagnetic phase.

4 pages, 3 figures, presented at the 25th international conference on Low Temperature Physics, 6-13 August 2008, Amsterdam

References in corpus (14)

• QED3 theory of pairing pseudogap in cuprates: From d-wave superconductor to antiferromagnet via "algebraic" Fermi liquid
• QED3 theory of underdoped high temperature superconductors
• A New Constraint on Strongly Coupled Field Theories
• The Influence of the Full Vertex and Vacuum Polarization on the Fermion Propagator in QED3
• 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
• The Three Dimensional Thirring Model for Small N_f
• Critical Flavor Number in the Three Dimensional Thirring Model
• Mesoscopic field and current compensator based on a hybrid superconductor-ferromagnet structure
• Truncated Schwinger-Dyson Equations and Gauge Covariance in QED3
• Dynamical Breakdown of Chirality and Parity in (2+1)-dimensional QED
• Gauge invariant response functions in Algebraic Fermi liquids
• Inverse Landau-Khalatnikov Transformation and Infrared Critical Exponents of (2+1)-dimensional Quantum Electrodynamics

Cited by in corpus (17)

• On the Phase Structure of Many-Flavor QED${}_3$
• Chiral Symmetry Breaking, Deconfinement and Entanglement Monotonicity
• Towards Bootstrapping QED${}_3$
• Anomalous dimensions of monopole operators in three-dimensional quantum electrodynamics
• Critical behavior of the QED${}_3$-Gross-Neveu-Yukawa model at four loops
• Fermion-induced quantum critical points in two-dimensional Dirac semimetals
• Scaling dimensions in QED${}_3$ from the $\epsilon$-expansion
• Two dimensional metallic phases from disordered QED${}_3$
• Magnetic monopole plasma phase in (2+1)d compact quantum electrodynamics with fermionic matter
• Critical properties of the valence-bond-solid transition in lattice quantum electrodynamics
• Parity Symmetry in QED3
• Effects of Anisotropy in QED3 from Dyson-Schwinger equations in a box
• Chiral symmetry breaking and monopole dynamics in non-compact QED3 coupled to a four-fermi interaction
• A Criterion for the Critical Number of Fermions and Chiral Symmetry Breaking in Anisotropic QED(2+1)
• Bosonization duality in 2+1 dimensions and critical current correlation functions in Chern-Simons $U(1)\times U(1)$ Abelian Higgs model
• Stability of $SU(N_c)$ QCD3 from the $\epsilon$-Expansion
• Critical number of fermions in three-dimensional QED