Quantum Fields at Finite Temperature "from tera to nano Kelvin"

TL;DR

This paper introduces techniques for analyzing quantum fields at high temperatures, covering applications from quark-gluon plasma at tera Kelvin to Bose-Einstein condensates at nano Kelvin, highlighting universal collective phenomena.

Contribution

It presents a unified approach to studying quantum fields at vastly different temperature scales, emphasizing common collective behaviors across systems.

Findings

Similar collective phenomena in quark-gluon plasma and Bose-Einstein condensates

Techniques applicable across a wide temperature range

Insights into long wavelength behaviors in different systems

Abstract

These lectures introduce techniques that are used in the description of systems of particles and fields at high temperature (or density). These methods have a broad range of physical applications. We shall discuss two specific applications: one related to hot and dense matter composed of quarks and gluons, with temperatures in the tera Kelvin range, the other related to Bose-Einstein condensation in ultra-cold gases, with temperatures in the nano Kelvin range. As we shall see, in both systems, long wavelength collective phenomena lead to similar features, in spite of the huge difference in orders of magnitude of the respective energy scales.