The ideal hydrodynamic limit and non-Abelian gauge symmetries

Author(s)

Torrieri, Giorgio

• Document type: Journal article
• Source: EUROPEAN PHYSICAL JOURNAL A; v. 56, n. 4 APR 24 2020.
• Web of Science Citations: 0

Abstract

We show that the ideal fluid local equilibrium limit, defined as the existence of a flow frame u mu which characterises the direction of both a conserved entropy current and conserved charge currents is incompatible with non-Abelian gauge theory if local color charge density is non-zero. 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 local equilibrium is not a ``force{''} but instead represents the polarization tensor of the gluons. We show that because of this coupling vorticity also acquires swirling non-hydrodynamic modes. We then argue that these swirling and swimming non-hydrodynamic modes are the manifestation of gauge redundancy within local equilibrium, and speculate on their role in quark-gluon plasma thermalization. (AU)

• FAPESP's process: 17/05685-2 - Hadronic physics in high energy nuclear collisions
• Grantee: Jun Takahashi
• Support type: Research Projects - Thematic Grants
• FAPESP's process: 17/06508-7 - Development of hydrodynamics as a field theory
• Grantee: Donato Giorgio Torrieri
• Support type: Regular Research Grants