Analytic and Semi-Analytic Results for Color Glass Condensate in the Weak-Field Limit

28.03.2023, 18:15
2h 15m
Stadthalle (Aschaffenburg)

Stadthalle

Aschaffenburg

Schloßpl. 1 63739 Aschaffenburg
Gremium: ET-5
Poster Early time dynamics and nuclear PDFs Poster Session

Sprecher

Herr Stephen Robicheaux (Texas A&M University)

Beschreibung

The classical field approximation to Color Glass Condensate for two colliding nuclei has been solved in the literature using numerical methods and recursive analytic solution. In the weak field limit, analytic solutions in transverse momentum space have also been known for some time. Based on the latter, we derive expressions for the space-time dependence of classical gluon 2-point functions $\langle F^{\mu\nu}(x^\alpha)F^{\kappa\lambda}(y^\beta)\rangle $ in the weak-field limit. For the McLerran-Venugopalan (MV) model, in many cases these expressions are shown to lead to solutions in closed analytic forms valid at all times. We also propose an alternative model which maintains UV-regularity by accounting for local correlations between color charges in the transverse plane. The new model allows for a straight forward calculation of the time dependence of the gluon energy momentum tensor and angular momentum density in early nuclear collisions in the weak field limit. We also discuss the initial motion of the nuclei after the collision.

Affiliation

Texas A&M University

Experiment/Theory Theory/Phenomenology

Hauptautoren

Herr Stephen Robicheaux (Texas A&M University) Rainer Fries (Texas A&M University)

Präsentationsmaterialien