Quark production in heavy ion collisions I. Formalism and boost invariant fermionic light-cone mode functions

Abstract

We revisit the problem of quark production in high energy heavy ion collisions, at leading order in ${\alpha }_s$ in the color glass condensate framework. In this first paper, we setup the formalism and express the quark spectrum in terms of a set of mode functions of the Dirac equation. We determine analytically their initial value in the Fock-Schwinger gauge on a proper time surface $Q_s{\tau }_0\ll 1$, in a basis which makes manifest the boost invariance properties of this problem. We also describe a statistical algorithm to perform the sampling of the mode functions.

40 pages, 3 figures, alternate derivation in the new appendix B

References in corpus (4)

• The Color Glass Condensate
• Chemical thermalization in relativistic heavy ion collisions
• Small x physics and RHIC data
• Structure of longitudinal chromomagnetic fields in high energy collisions

Cited by in corpus (13)

• Advances in QED with intense background fields
• The First fm/c of Heavy-Ion Collisions
• Parametric estimate of the relative photon yields from the Glasma and the Quark-Gluon Plasma in heavy-ion collisions
• Linearly polarized gluons and axial charge fluctuations in the Glasma
• Equilibration of the Quark-Gluon Plasma at finite net-baryon density in QCD kinetic theory
• Boost invariant formulation of the chiral kinetic theory
• Some Aspects of the Theory of Heavy Ion Collisions
• Nonequilibrium quark production in the expanding QCD plasma
• Non-Abelian chiral instabilities at high temperature on the lattice
• Heavy flavor angular correlations as a direct probe of the glasma
• Multiparticle Production at Mid-Rapidity in the Color-Glass Condensate
• The impact of glasma on heavy flavor azimuthal correlations and spectra
• Nonequilibrium axial charge production in expanding glasma flux tubes