Self-consistent hyperfluid

Abstract

Hyperfluid model is reconstructed on the basis of its action free from any external constraints, regarding the hyperfluid as a self-consistent classical field. Intrinsic hypermomentum is no more a given variable, but arises purely from the diffeomorphism covariance of the dynamical field, which allows the hypermomentum to be exchanged via fundamental interactions of various classes; fluid-fluid interactions, SU(n)-gauge coupling with non-minimal interaction, and coupling with the metric-affine gravity are all successfully formulated in the classical regime.