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# Quark production in heavy ion collisions. 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
Domain :

https://hal-cea.archives-ouvertes.fr/cea-01280250
Contributor : Emmanuelle De Laborderie Connect in order to contact the contributor
Submitted on : Wednesday, October 19, 2022 - 3:03:40 PM
Last modification on : Saturday, October 22, 2022 - 4:43:08 AM

### File

GeTan1.pdf
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### Citation

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⟩

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