Abstract

We perform an analytic calculation of the color fields in heavy-ion collisions by considering the collision of longitudinally extended nuclei in the dilute limit of the Color Glass Condensate effective field theory of high-energy QCD. Based on general analytic expressions for the color fields in the future light cone, we evaluate the rapidity profile of the transverse pressure within a simple specific model of the nuclear collision geometry and compare our results to 3+1D classical Yang-Mills simulations.

Highlights

  • The space-time evolution of the quark gluon plasma (QGP), produced in high-energy heavy-ion collisions (HIC) at the Large Hadron Collider (LHC) and Relativistic Heavy Ion Collider (RHIC), can be accurately described by relativistic viscous hydrodynamics [1,2]

  • We present the first analytical calculation of the initial energy deposition in heavy-ion collisions by solving the ð3 þ 1ÞD classical Yang-Mills equations within the dilute limit of the color glass condensate effective field theory of high-energy QCD

  • Basic features of the reaction dynamics for ð3 þ 1ÞD collisions have already been examined in detail using real time lattice simulations [53,55]

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Summary

INTRODUCTION

The space-time evolution of the quark gluon plasma (QGP), produced in high-energy heavy-ion collisions (HIC) at the Large Hadron Collider (LHC) and Relativistic Heavy Ion Collider (RHIC), can be accurately described by relativistic viscous hydrodynamics [1,2]. A plethora of (semi)analytic calculations have been carried out within the CGC framework using expansions in color source densities [21–24] or near-field expansions [25–29] in the boost-invariant limit, which have been further exploited to study the correlation function of the initial energy-momentum tensor [23,27,30–33] and jet momentum broadening in the early stages [34,35] Such numerical and (semi) analytical results have been important to guide the development of simple parametric initial state models such as IP-jazma [36] or TrENTo [11,37], and to the development of a comprehensive understanding of the transverse dynamics of the fireball near midrapidity.

GENERAL FORMALISM
Gauge field solutions in the future light cone
NUCLEAR MODEL AND TRANSVERSE PRESSURE
Background
Longitudinal magnetic field
Longitudinal electric field
NUMERICAL RESULTS AND COMPARISONS TO ð3 + 1ÞD SIMULATIONS
CONCLUSIONS AND OUTLOOK

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