Scherk-Schwarz reduction of a neutral viscous conformal fluid yields a dissipative colored fluid in lower dimensions with explicit maps for equation of state, sound speed, color currents, entropy current, and first-order transport coefficients including η, τ, and κ.
Non-Abelian Fluid Dynamics in Lagrangian Formulation
4 Pith papers cite this work, alongside 59 external citations. Polarity classification is still indexing.
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abstract
Non-Abelian extensions of fluid dynamics, which can have applications to the quark-gluon plasma, are given. These theories are presented in a symplectic/Lagrangian formulation and involve a fluid generalization of the Kirillov-Kostant form well known in Lie group theory. In our simplest model the fluid flows with velocity v and in presence of non-Abelian chromoelectric/magnetic E^a / B^a fields, the fluid feels a Lorentz force of the form Q_a E^a + (v / c) \times Q_a B^a, where Q_a is a space-time local non-Abelian charge satisfying a fluid Wong equation [ (D_t + v \cdot D) Q ]_a = 0 with gauge covariant derivatives.
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hep-th 4representative citing papers
Develops a local open EFT for non-Abelian gauge theories using dynamical color-frame variables and color-current sectors in Schwinger-Keldysh formalism, yielding nonlocal dissipative kernels and naturally incorporating hard thermal loop responses after integration.
Fluid dynamics is formulated as an intersection problem on a symplectic manifold associated with spacetime, yielding a geometric derivation of covariant hydrodynamics and extensions to multicomponent and anomalous fluids.
Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.
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Dissipative non-Abelian fluids from Scherk-Schwarz dimensional reduction
Scherk-Schwarz reduction of a neutral viscous conformal fluid yields a dissipative colored fluid in lower dimensions with explicit maps for equation of state, sound speed, color currents, entropy current, and first-order transport coefficients including η, τ, and κ.
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Bottom-up open EFT for non-Abelian gauge theory with dynamical color environment
Develops a local open EFT for non-Abelian gauge theories using dynamical color-frame variables and color-current sectors in Schwinger-Keldysh formalism, yielding nonlocal dissipative kernels and naturally incorporating hard thermal loop responses after integration.
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Fluid dynamics as intersection problem
Fluid dynamics is formulated as an intersection problem on a symplectic manifold associated with spacetime, yielding a geometric derivation of covariant hydrodynamics and extensions to multicomponent and anomalous fluids.
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Effective Field Theories for Material Media
Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.