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Collisions in Chiral Kinetic Theory.
Jing-Yuan Chen1, Dam T Son1, Mikhail A Stephanov2
1Kadanoff Center for Theoretical Physics, University of Chicago, Chicago, Illinois 60637, USA.
We developed a chiral kinetic theory incorporating collisions, revealing a new particle number current linked to angular momentum conservation. This theory yields a conserved stress-energy tensor and supports Boltzmann
Area of Science:
- Theoretical physics
- High-energy physics
- Quantum field theory
Background:
- Chiral kinetic theory describes the behavior of chiral particles in relativistic systems.
- Understanding particle dynamics and transport phenomena in extreme conditions is crucial.
Purpose of the Study:
- To construct a Lorentz-invariant chiral kinetic theory that includes collisional effects.
- To investigate new contributions to particle currents and conserved quantities.
Main Methods:
- Development of a covariant formalism for chiral kinetic theory.
- Inclusion of collisions and angular momentum conservation principles.
- Derivation of the stress-energy tensor and H function.
Main Results:
- A new contribution to the particle number current arising from side jumps during collisions.
- Identification of a conserved symmetric stress-energy tensor.
- Verification of the H function obeying Boltzmann's H theorem.
Conclusions:
- The developed theory provides a consistent framework for studying chiral matter with collisions.
- The findings enable the calculation of equilibrium solutions and anomalous transport coefficients.
- The research advances the understanding of the chiral vortical effect.
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