Non-perturbative Aspects of Quantum Field Theories from Holography

TL;DR

This thesis explores various non-perturbative features of quantum field theories using holographic duality, analyzing gauge theories, conformal models, and dense QCD to understand confinement, spectra, entanglement, and phase transitions.

Contribution

It provides detailed holographic analyses of a family of 3D gauge theories and employs bottom-up models to study complex conformal and dense QCD phenomena.

Findings

Characterized confinement and spectrum of 3D gauge theories

Analyzed entanglement and thermal phase transitions

Studied transport properties of dense QCD

Abstract

In this thesis we investigate some aspects of quantum field theories from a holographic perspective. In the first chapters we examine in detail a one-paremeter family of three-dimensional gauge theories by means of their type IIA gravity duals. We analyse features such as their confinement nature, spectrum, entanglement properties or thermal phase transitions. This family interpolates between quasi-conformal and quasi-confining physics. In the last two chapters, we use bottom-up models to study complex conformal field theories and transport properties of dense QCD respectively.