Unusual photon isospin mixing and instantaneous Coulomb effects on the thermodynamics of compact matter

Abstract

A hidden local symmetry formalism with a two-photon counterterm approach is performed based on the relativistic continuum quantum many-body theory. The underlying electromagnetic under-screening as well as screening effects between the electric charged point-like electrons and composite protons are discussed by analyzing the in-medium isospin mixing of Lorentz vector with scalar due to electromagnetic photon. Besides the usual screening results, the main conclusion is that an effective oscillatory instantaneous Coulomb potential between the like-charged collective electrons contributes a very large negative term to the equation of state. This counterintuitive like-charged attraction results from the modulation factor of the opposite charged baryon superfluid background. The anomalous long distance quantum dragging effects between the collective electrons can be induced in a compact Coulomb confinement environment. The physics is of the strongly coupling characteristic in a specific dilute regime.