Vertex correction and Ward identity in the U(1) gauge theory with Fermi surface

Abstract

We show that introduction of vertex corrections in the fully self-consistent ladder approximation does not modify dynamics of spinons and gauge fluctuations in the U(1) gauge theory with Fermi surface.

References in corpus (10)

• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• On the stability of U(1) spin liquids in two dimensions
• Quantum critical behavior in itinerant electron systems -- Eliashberg theory and instability of a ferromagnetic quantum-critical point
• Many-body spin Berry phases emerging from the $\pi$-flux state: antiferromagnetic/valence-bond-solid competition
• Stability of the U(1) spin liquid with spinon Fermi surface in 2+1 dimensions
• A controlled expansion for certain non-Fermi liquid metals
• Sum Rules and Ward Identities in the Kondo Lattice
• Fermionization for charge degrees of freedom and bosonization of spin degrees of freedom in the SU(2) slave-boson theory

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• Nambu-Eliashberg theory for multi-scale quantum criticality : Application to ferromagnetic quantum criticality in the surface of three dimensional topological insulators
• Critical particle-hole composites at twice the Fermi wave vector in U(1) spin liquid with a Fermi surface
• Interplay between interaction and chiral anomaly in the holographic approach
• A phenomenological description on an incoherent Fermi liquid near optimal doping in high T_{c} cuprates
• Nature of an intermediate non-Fermi liquid state in Ge-substituted YbRh${}_2$Si${}_2$: Fermionized skyrmions, Lifshitz transition, Skyrmion liquid, and Gruneisen ratio