Gluon Quasi Particles and the CGC Density Matrix

Abstract

We revisit and extend the calculation of the density matrix and entanglement entropy of a Color Glass Condensate by including the leading saturation corrections in the calculation. We show that the density matrix is diagonal in the quasi particle basis, where it has the Boltzmann form. The quasi particles in a wide interval of momenta behave as massless two-dimensional bosons with the temperature proportional to the typical semi-hard scale $T=Q_s/\sqrt{{\alpha }_s{N}_c}$. Thus the semi-hard momentum region $Q_s<k<Q_s/\sqrt{{\alpha }_s{N}_c}$ arises as a well-defined intermediate regime between the perturbatively hard momenta and the nonperturbative soft momenta $k<Q_s$ in the CGC description of a hadronic wave function.

21 pages

References in corpus (4)

• Entanglement Rearrangement in Self-Consistent Nuclear Structure Calculations
• The Color Glass Condensate density matrix: Lindblad evolution, entanglement entropy and Wigner functional
• Entanglement, partial set of measurements, and diagonality of the density matrix in the parton model
• High energy QCD: multiplicity distribution and entanglement entropy

Cited by in corpus (1)

• Maximally entangled proton and charged hadron multiplicity in Deep Inelastic Scattering