Gauge (non-)invariant Green functions of Dirac fermions coupled to gauge fields

Abstract

We develop a unified approach to both infrared and ultraviolet asymptotics of the fermion Green functions in the condensed matter systems that allow for an effective description in the framework of the Quantum Electrodynamics. By applying a path integral representation to the previously suggested form of the physical electron propagator we demonstrate that in the massless case this gauge invariant function features a "stronger-than-a-pole" branch-cut singularity instead of the conjectured Luttinger-like behavior. The obtained results alert one to the possibility that construction of physically relevant amplitudes in the effective gauge theories might prove more complex than previously thought.

References in corpus (5)

• Ghost excitonic insulator transition in layered graphite
• Magnetic field-induced insulating behavior in highly oriented pyrolitic graphite
• Algebraic Fermi liquid from phase fluctuations: "topological" fermions, vortex "berryons" and QED3 theory of cuprate superconductors
• Antiferromagnetism from phase disordering of a d-wave superconductor
• Thermally generated vortices, gauge invariance and electron spectral function in the pseudo-gap regime

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• Anomalous dimensions of gauge-invariant amplitudes in massless effective gauge theories of strongly correlated systems
• Quasiparticle interference patterns as a test for the nature of the pseudogap phase in the cuprate superconductors
• Elusive physical electron propagator in QED-like effective theories
• Kondo physics in the algebraic spin liquid
• 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
• Planar Dirac fermions in long-range-correlated random vector potential
• Gauge-invariant dressed fermion propagator in massless QED_3
• Reckoning with the Mother of all non-Fermi liquids: alien bosonization vs predator holography
• Comment on "Electron spectral function and algebraic spin liquid for the normal state of underdoped$ high T_c superconductors"
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• Renormalization of fermion velocity in finite temperature QED_{3}
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• Transverse Ward-Takahashi Identities and Full Vertices Functions in Different Representation in QED${}_3$
• Feynman path-integral approach to the QED3 theory of the pseudogap
• Fermion propagator for QED_3 in the IR domain