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Swimming and swirling colorful ghosts
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abstract
We show that the ideal fluid limit, defined as the existance of a flow frame $u_\mu$ with respect to which the fluid is homogeneus and isotropic, and the consequent independence of the equation of state on $u_\mu$, is incompatible with non-Abelian gauge theory. Instead, the equation of state becomes dependent on $u_\mu$ via modes which are roughly equivalent to ghost modes in the hydrodynamic limit. These modes can be physically imagined as a field of 'purcell swimmers' whose 'arms and legs' are outstretched in Gauge space. Also, vorticity should couple to the Wilson loop via the chromo-electro-magnetic field tensor, which in this limit is not a 'force' but instead represents the polarization tensor of the gluons. We show that because of this coupling vorticity also aquires swirling non-hydrodynamic modes. We then argue that these swirling and swimming non-hydodynamic modes are the manifestation of gauge redunancy within local equilibrium, and speculate on their role in quark-gluon plasma thermalization
Forward citations
Cited by 2 Pith papers
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Gaussian generally covariant hydrodynamics
A Gaussian stochastic partition function constrained by gravitational Ward identities yields a proposed generally covariant fluctuating hydrodynamics in which flow is an approximate Killing vector.
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Causality of polarizeable dissipative fluids from Lagrangian hydrodynamics
In a Lagrangian model of polarized dissipative fluids, causality couples the spin, shear, and bulk relaxation times through inequalities that can make polarization mask viscosity.
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