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# 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.
Document type :
Journal articles
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https://hal-cea.archives-ouvertes.fr/cea-01280250
Contributor : Emmanuelle De Laborderie Connect in order to contact the contributor
Submitted on : Monday, February 29, 2016 - 11:18:03 AM
Last modification on : Monday, December 13, 2021 - 9:16:04 AM

### Identifiers

• HAL Id : cea-01280250, version 1
• ARXIV : 1506.03327

### Citation

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

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