Gravitons show a helicity-dependent spin Hall effect from Berry curvature, producing an energy Hall current splitting exactly twice as large as the photon case.
Lorentz Invariance in Chiral Kinetic Theory
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abstract
We show that Lorentz invariance is realized nontrivially in the classical action of a massless spin-$\frac12$ particle with definite helicity. We find that the ordinary Lorentz transformation is modified by a shift orthogonal to the boost vector and the particle momentum. The shift ensures angular momentum conservation in particle collisions and implies a nonlocality of the collision term in the Lorentz-invariant kinetic theory due to side jumps. We show that 2/3 of the chiral-vortical effect for a uniformly rotating particle distribution can be attributed to the magnetic moment coupling required by the Lorentz invariance. We also show how the classical action can be obtained by taking the classical limit of the path integral for a Weyl particle.
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Quantum metric induces O(ħ²) corrections to phase-space density of states, modifying Liouville's theorem and providing a nonlinear chiral kinetic theory consistent with QFT for chiral fermions in inhomogeneous fields.
The chiral magnetic effect is the anomaly of the transverse axial vector Ward identity, which enforces a universal conductivity of 1/(2π²) robust against external parameters and interactions.
citing papers explorer
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Spin Hall effect and Berry curvature of gravitons from quantum field theory
Gravitons show a helicity-dependent spin Hall effect from Berry curvature, producing an energy Hall current splitting exactly twice as large as the photon case.
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Quantum Metric Corrections to Liouville's Theorem and Chiral Kinetic Theory
Quantum metric induces O(ħ²) corrections to phase-space density of states, modifying Liouville's theorem and providing a nonlinear chiral kinetic theory consistent with QFT for chiral fermions in inhomogeneous fields.
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Chiral Magnetic effect as the anomaly in the transverse axial vector Ward Identity
The chiral magnetic effect is the anomaly of the transverse axial vector Ward identity, which enforces a universal conductivity of 1/(2π²) robust against external parameters and interactions.