Towards thermalization in heavy-ion collisions: CGC meets the 2PI formalism

TL;DR

This paper explores applying the 2PI formalism to study thermalization in heavy-ion collisions within the CGC framework, deriving coupled equations for classical and quantum fields to advance understanding of early collision dynamics.

Contribution

It introduces a novel application of the 2PI effective action at three loops to the CGC model, linking quantum fluctuations with classical fields in heavy-ion collisions.

Findings

Derived coupled equations for Yang-Mills fields and quantum fluctuations.

Established initial conditions and connections to prior models.

Proposed a new approach to study thermalization processes.

Abstract

We propose to apply the two-particle irreducible (2PI) formalism to the problem of thermalization in heavy-ion collisions in the Color Glass Condensate (CGC) picture. We consider the 2PI effective action to three loops and derive a set of coupled equations for the classical Yang-Mills field and the quantum fluctuations in the boost invariant coordinate system. The initial condition and the relation to previous works are also discussed.