Thermodynamics of asymptotically safe theories

TL;DR

This paper explores the thermodynamic behavior of a new class of gauge-Yukawa theories that are asymptotically safe, with fixed points allowing for perturbative calculations of thermodynamic quantities.

Contribution

It provides the first detailed computation of thermodynamic properties for asymptotically safe gauge-Yukawa theories at NNLO, demonstrating their calculability.

Findings

Thermodynamic quantities are calculable at NNLO in these theories.

Coupling constants can be made arbitrarily small, justifying perturbative methods.

Theories exhibit fixed points that determine their high-energy behavior.

Abstract

We investigate the thermodynamic properties of a novel class of gauge-Yukawa theories that have recently been shown to be completely asymptotically safe, because their short-distance behaviour is determined by the presence of an interacting fixed point. Not only do all the coupling constants freeze at a constant and calculable value in the ultraviolet, their values can even be made arbitrarily small for an appropriate choice of the ratio $N_c/N_f$ of fermion colours and flavours in the Veneziano limit. Thus, a perturbative treatment can be justified. We compute the pressure, entropy density, and thermal degrees of freedom of these theories to next-to-next-to-leading order in the coupling constants.