Conformal anomaly and helicity effects in kinetic theory via scale-dependent coupling
arXiv:2010.02104 · doi:10.1103/PhysRevD.103.036019
Abstract
We modify a kinetic theory of massless fermions to incorporate the effects of the conformal anomaly. Working in a collisionless regime, we emulate the conformal anomaly via a momentum-dependent electric coupling. In this prescription, the conformal anomaly leads to a hedgehog-like structure in the momentum space similar to the Berry phase associated with the axial anomaly. The interplay between the axial and conformal anomalies generates the axial current, proportional to the helicity flow of the electromagnetic background. The corresponding conductivity is determined by the running of the electric coupling between the tip of the Dirac cone and the Fermi surface.
arXiv comment11 pages, 1 figure
References in corpus (60)
- Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
- Weyl Semimetal in a Topological Insulator Multilayer
- The Chiral Magnetic Effect
- The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
- Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
- Dirac cones reshaped by interaction effects in suspended graphene
- Berry phase correction to electron density of states in solids
- Non-Fermi liquid behaviour of electrons in the half-filled honeycomb lattice (A renormalization group approach)
- Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
- Charge separation induced by P-odd bubbles in QCD matter
- Gravitational Anomaly and Transport
- Chiral Kinetic Theory
- Anomalous Axion Interactions and Topological Currents in Dense Matter
- Kinetic theory with Berry curvature from quantum field theories
- Heisenberg-Euler Effective Lagrangians : Basics and Extensions
- Experimental signatures of the mixed axial-gravitational anomaly in the Weyl semimetal NbP
- Berry curvature and 4-dimensional monopole in relativistic chiral kinetic equation
- Notes on Anomaly Induced Transport
- Lorentz Invariance in Chiral Kinetic Theory
- Kinetic theory for massive spin-1/2 particles from the Wigner-function formalism
- Relativistic Chiral Kinetic Theory from Quantum Field Theories
- Collisions in Chiral Kinetic Theory
- Nonlinear Responses of Chiral Fluids from Kinetic Theory
- Relativistic Quantum Kinetic Theory for Massive Fermions and Spin Effects
- Berry phase correction to electron density in solids and "exotic" dynamics
- Complete and Consistent Chiral Transport from Wigner Function Formalism
- A condensed matter realization of the axial magnetic effect
- Axial Kinetic Theory and Spin Transport for Fermions with Arbitrary Mass
- Chiral transport equation from the quantum Dirac Hamiltonian and the on-shell effective field theory
- Magnetic helicity density and its flux in weakly inhomogeneous turbulence
- Mass Correction to Chiral Kinetic Equations
- Kinetic theory of chiral relativistic plasmas and energy density of their gauge collective excitations
- Chiral kinetic theory in curved spacetime
- The chiral anomaly, Berry's phase and chiral kinetic theory, from world-lines in quantum field theory
- Chiral pumping effect induced by rotating electric fields
- Interacting Electrons in Graphene: Fermi Velocity Renormalization and Optical Response
- Chiral conductivities and effective field theory
- Theory of a quantum critical phenomenon in a topological insulator: (3+1)-dimensional quantum electrodynamics in solids
- Emergent Lorentz symmetry near fermionic quantum critical points in two and three dimensions
- A Nernst current from the conformal anomaly in Dirac and Weyl semimetals
- Non-equilibrium Chiral Magnetic/Vortical Effects in Viscous Fluids
- Anomalous Transport Due to the Conformal Anomaly
- Consistent Relativistic Chiral Kinetic Theory: a derivation from OSEFT
- Chiral Vortical Effect for Bosons
- Zilch Vortical Effect, Berry Phase, and Kinetic Theory
- Photonic chiral vortical effect
- Second-order chiral kinetic theory: Chiral magnetic and pseudomagnetic waves
- The Zilch Vortical Effect
- Renormalization group aspects of graphene
- Chiral Magnetic Photocurrent in Dirac and Weyl Materials
- Fingerprints of the conformal anomaly on the thermoelectric transport in Dirac and Weyl semimetals: Result from a Kubo formula
- Quantum Kinetic Equation in the Rotating Frame and Chiral Kinetic Theory
- Landau levels for electromagnetic wave
- Anisotropic fixed points in Dirac and Weyl semimetals
- Semiclassical dynamics of Dirac and Weyl particles in rotating coordinates
- Chiral vortical effect for vector fields
- Semiclassical transport equations of Dirac particles in rotating frames
- Magneto-Transport in a Chiral Fluid from Kinetic Theory
- Higher spin vortical Zilches from Kubo formulae
- Dynamic scale anomalous transport in QCD with electromagnetic background