Anomalous dimensions of gauge-invariant amplitudes in massless effective gauge theories of strongly correlated systems

Abstract

We use the radial gauge to calculate the recently proposed ansatz for the physical electron propagator in such effective models of strongly correlated electron systems as the $QE{D}_3$ theory of the pseudogap phase of the cuprates. The results of our analysis help to settle the recent dispute about the sign and the magnitude of the anomalous dimension which characterizes the gauge invariant amplitude in question and set the stage for computing other, more physically relevant, ones.

Latex, 11 pages, no figures

References in corpus (8)

• Magnetic field driven metal-insulator phase transition in planar systems
• QED3 theory of pairing pseudogap in cuprates: From d-wave superconductor to antiferromagnet via "algebraic" Fermi liquid
• QED3 theory of underdoped high temperature superconductors
• Spin correlations in the algebraic spin liquid - implications for high Tc superconductors
• Non-compact QED_3 with N_f >=2
• Relativity Restored: Dirac Anisotropy in QED${}_3$
• On gauge-invariant Green function in 2+1 dimensional QED
• Elusive physical electron propagator in QED-like effective theories

Cited by in corpus (22)

• Gauge invariant response functions in Algebraic Fermi liquids
• Effects of the Dirac cone tilt in two-dimensional Dirac semimetal
• Influence of Coulomb interaction on the anisotropic Dirac cone in graphene
• Quasiparticle interference patterns as a test for the nature of the pseudogap phase in the cuprate superconductors
• Power law Kohn anomalies and the excitonic transition in graphene
• Kondo physics in the algebraic spin liquid
• Power law Kohn anomaly in undoped graphene induced by Coulomb interactions
• Effect of nonmagnetic disorder on criticality in the "dirty" U(1) spin liquid
• Existence of Fermion Zero Modes and Deconfinement of Spinons in Quantum Antiferromagnetism resulting from Algebraic Spin Liquid
• Deconfined quantum criticality driven by Dirac fermions in SU(2) antiferromagnets
• Interplay between tilt, disorder, and Coulomb interaction in type-I Dirac fermions
• Gauge-invariant dressed fermion propagator in massless QED_3
• Instability in scalar channel of fermion-antifermion scattering amplitude in massless QED_3 and anomalous dimensions of composite operators
• Bosonization duality in 2+1 dimensions and critical current correlation functions in Chern-Simons $U(1)\times U(1)$ Abelian Higgs model
• Reckoning with the Mother of all non-Fermi liquids: alien bosonization vs predator holography
• Transverse transport in graphite
• Comment on "Algebraic Fermi liquid from phase fluctuations: topological fermions, vortex Berryons, and QED theory of cuprate superconductors"
• Renormalization of fermion velocity in finite temperature QED_{3}
• Transverse Ward-Takahashi Identities and Full Vertices Functions in Different Representation in QED${}_3$
• A gauge invariant and string independent fermion correlator in the Schwinger model
• Instantons and the infrared behavior of the fermion propagator in the Schwinger Model
• Fermion propagator for QED_3 in the IR domain