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Using the second law of local thermodynamics and the first-order Palatini formalism, we formulate relativistic spin hydrodynamics for quantum field theories with Dirac fermions, such as QED and QCD, in a torsionful curved background.
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G. Policastro, D. T. Son, and A. O. Starinets, “The Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma,” Phys. Rev. Lett
2001
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2012
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S.-i. Sasa, “Derivation of hydrodynamics from the hamiltonian description of particle systems,” Phys. Rev. Lett
2014
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K. Jensen, R. Loganayagam, and A. Yarom, “Anomaly inflow and thermal equilibrium,” JHEP
2014
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K. Hashimoto, N. Iizuka, and T. Kimura, “Towards Holographic Spintronics,” Phys. Rev. D
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2016
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S. D. Chowdhury and J. R. David, “Global gravitational anomalies and transport,” JHEP
2016
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S. Maekawa, S. O. Valenzuela, T. Kimura, and E. Saitoh, Spin current · 2017
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M. Hongo, “Path-integral formula for local thermal equilibrium,” Annals Phys
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A. D. Gallegos, U. Gürsoy, and A. Yarom, “Hydrodynamics of spin currents,” SciPost Phys
2021
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J. Hu, “Kubo formulae for first-order spin hydrodynamics,” Phys. Rev. D
2021
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2021
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K. Kawasaki and J. D. Gunton, “Theory of nonlinear transport processes: Nonlinear shear viscosity and normal stress effects,” Phys. Rev. A
2064
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