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

F. Gelis (1) , N. Tanji (2)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681
2 Universität Heidelberg [Heidelberg] = Heidelberg University

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.

Domaines: Physique des Hautes Energies - Phénoménologie [hep-ph]; Physique Nucléaire Théorique [nucl-th]

F. Gelis, N. Tanji. Quark production in heavy ion collisions. Formalism and boost invariant fermionic light-cone mode functions. Journal of High Energy Physics, 2016, 2016 (126), pp.126. ⟨10.1007/JHEP02(2016)126⟩. ⟨cea-01280250⟩