# Initial Stages 2021

Jan 10 – 15, 2021
Weizmann Institute of Science
Asia/Jerusalem timezone
See you at IS2023 in Copenhagen in June 2023

## Non-perturbative renormalization of the average color charge and multi-point correlators of color charge from a non-Gaussian small-x action

Jan 11, 2021, 7:40 PM
1h 30m
Patio (vDLCC)

### Patio

#### vDLCC

bullet talk (poster) Physics at low-x and gluon saturation

André Giannini

### Description

The McLerran-Venugopalan (MV) model is a Gaussian effective theory
of color charge fluctuations at small-$x$ in the limit of large valence
charge density, i.e. a large nucleus made of uncorrelated
color charges. In this work, we explore the effects of the first non-trivial
(even C-parity) non-Gaussian correction on the color charge density to
the MV model in SU(2) and SU(3) color groups in the non-perturbative regime.
We also compare our results to existing perturbative ones on
a lattice setup, where multi-point correlators of color charges can be
computed for fixed configurations. We investigate three different
choices for the renormalization of the couplings figuring in the
non-Gaussian small-$x$ action and find that one of them allows to
control the deviations from the MV model as one approaches the
continuum while the other two lead to a scenario where the small-$x$
action evolves towards a critical theory dominated by strong
non-Gaussian fluctuations regardless of the system size.

### Co-author

Yasushi Nara (Akita International University)

### Presentation materials

 AVGiannini_BulletTalk_IS2021.mp4 AVGiannini_BulletTalk_IS2021_slides.pdf