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Swimming and swirling colorful ghosts

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arxiv 1810.12468 v2 pith:BDQHZXLB submitted 2018-10-30 hep-th hep-phnucl-thphysics.flu-dyn

classification hep-thhep-phnucl-thphysics.flu-dyn
keywords modesgaugelimitswirlingequationfieldfluidinstead
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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

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Gaussian generally covariant hydrodynamics

    hep-th 2025-04 conditional novelty 6.0 of 10

    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.

  2. Causality of polarizeable dissipative fluids from Lagrangian hydrodynamics

    nucl-th 2025-06 conditional novelty 5.0 of 10

    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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