Colliding poles with colliding nuclei

TL;DR

This paper explores how pole collisions in the complex plane can signal phase transitions in theories related to the quark-gluon plasma, using a hybrid model to describe energy transfer and quasi-hydrodynamic phenomena.

Contribution

It introduces a hybrid model combining weak and strong coupling sectors with a unified dispersion relation, revealing new insights into phase transition signatures and energy dynamics.

Findings

Pole collisions characterize phase transitions like the chiral transition.

Energy transfer dynamics between soft and hard sectors are modeled.

The model reproduces features such as the k-gap in dissipative systems.

Abstract

In these proceedings, I will discuss collisions of poles in the complex plane as a signature of phase transitions for theories relevant to the quark gluon plasma. I will begin with an illustrative example, namely the chiral phase transition, which can be characterized by colliding poles as a function of temperature. Then, recognizing the interplay between weak and strong coupling sectors in a typical collision, I will introduce a hybrid model with a weakly broken symmetry, which has a rich quasi-hydrodynamic phenomenological description where hydrodynamic and non-hydrodynamic poles are unified by a common dispersion relation. I will show that energy is transferred initially from the soft to the hard sector before irreversibly transferring back to the soft sector at late times, and that the model reproduces many features common to dissipative systems with a weakly broken symmetry including the k-gap.