Consistent Relativistic Chiral Kinetic Theory: a derivation from OSEFT

Abstract

We formulate the on-shell effective field theory (OSEFT) in an arbitrary frame and study its reparametrization invariance (RI), which ensures that it is respectful of Lorentz symmetry. In this formulation the OSEFT Lagrangian looks formally equivalent to the sum over light-like velocities of soft collinear effective field theory in the Abelian limit, differences remain in the scale of the gauge fields involved in the two effective theories. We then use the OSEFT Lagrangian expanded in powers of the on-shell energy to derive how the classical transport equations for charged massless fermions are corrected by quantum effects, as derived from quantum field theory. We provide a formulation in a full covariant way, and explain how the consistent form of the chiral anomaly equation can be recovered from our results. We also show how the side jump transformation of the distribution function associated with massless charged fermions can be derived from the RI transformation rules of the OSEFT quantum fields. Finally, we discuss differences in our results with others found in the literature.

30 pages; It matches the published version, one appendix and explanations added

References in corpus (15)

• The Chiral Magnetic Effect
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Lorentz Invariance in Chiral Kinetic Theory
• Collisions in Chiral Kinetic Theory
• Nonlinear Responses of Chiral Fluids from Kinetic Theory
• Complete and Consistent Chiral Transport from Wigner Function Formalism
• Chiral transport equation from the quantum Dirac Hamiltonian and the on-shell effective field theory
• Consistent Chiral Kinetic Theory in Weyl Materials: Chiral Magnetic Plasmons
• Disentangling covariant Wigner functions for chiral fermions
• Non-equilibrium Chiral Magnetic/Vortical Effects in Viscous Fluids
• Chiral fermions as classical massless spinning particles
• Wigner translations and the observer-dependence of the position of masslesss spinning particles
• Wigner-Souriau translations and Lorentz symmetry of chiral fermions
• Power corrections to the HTL effective Lagrangian of QED
• Wigner function and kinetic phenomena for chiral plasma in a strong magnetic field

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• From Kadanoff--Baym to Boltzmann equations for massive spin-1/2 fermions
• Effective quantum kinetic theory for spin transport of fermions with collsional effects
• Chiral kinetic theory in curved spacetime
• Covariant Spin Kinetic Theory I: Collisionless Limit
• Foundations and Applications of Quantum Kinetic Theory
• Quantum Kinetic Theory of Spin Polarization of Massive Quarks in Perturbative QCD: Leading Log
• Side-Jump Induced Spin-Orbit Interaction of Chiral Fluids from Kinetic Theory
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• Quantum kinetic theory for dynamical spin polarization from QED-type interaction
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• Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
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• Kinetic theory with spin: From massive to massless fermions
• Hadron matter in neutron stars in view of gravitational wave observations
• Hydrodynamic modes in a magnetized chiral plasma with vorticity
• Second order chiral kinetic theory under gravity and antiparallel charge-energy flow
• Chiral kinetic theory with small mass corrections and quantum coherent states
• Measuring chiral imbalance with collisional energy loss
• Magnetic field induced neutrino chiral transport near equilibrium
• Anomaly-induced transport phenomena from the imaginary-time formalism
• Magneto-vortical Effect in Strong Magnetic Field
• Collective modes in anisotropic plasmas
• Quantum Kinetic Theory with Vector and Axial Gauge Fields
• Chiral anomaly in non-relativistic systems: Berry curvature and chiral kinetic theory
• Nonlinear chiral kinetic theory
• Power corrections and gradient expansion in QED transport theory
• Photon Self-energy in Magnetized Chiral Plasma from Kinetic Theory
• Some Features of Semiclassical Chiral Transport in Rotating Frames
• Conformal anomaly and helicity effects in kinetic theory via scale-dependent coupling
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