Common and not so common high-energy theory methods for condensed matter physics

TL;DR

This paper reviews high-energy physics methods that are applicable to condensed matter physics, focusing on theories with undetermined radiative corrections and their relevance to topological semi-metallic phases.

Contribution

It introduces high-energy physics techniques to condensed matter, highlighting their importance in understanding topological phases and response properties.

Findings

Identification of theories with finite but undetermined radiative corrections

Application of high-energy methods to topological semi-metallic phases

Insights into external field responses in condensed matter systems

Abstract

This chapter is a collection of techniques, warnings, facts and ideas that are sometimes regarded as theoretical curiosities in high-energy physics but have important consequences in condensed matter physics. In particular, we describe theories that have the property of having finite but undetermined radiative corrections that also happen to describe topological semi-metallic phases in condensed matter. In the process, we describe typical methods in high-energy physics that illustrate the working principles to describe a given phase of matter and its response to external fields.