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.
’t Hooft, Nucl
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VNABI adds a non-total-derivative term to the topological charge density whose space-time integral is proved to vanish by Wu-Yang arguments and is shown numerically to approach zero under gradient flow on SU(2) lattices.
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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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Violation of non-Abelian Bianchi identity and QCD topology
VNABI adds a non-total-derivative term to the topological charge density whose space-time integral is proved to vanish by Wu-Yang arguments and is shown numerically to approach zero under gradient flow on SU(2) lattices.