Topological invariants for Standard Model: from semi-metal to topological insulator

TL;DR

This paper explores topological invariants that characterize the quantum vacuum of the Standard Model, analyzing transitions between semimetallic and insulating states and their implications for topological phases.

Contribution

It introduces a framework for describing topological invariants in the Standard Model's quantum vacuum, bridging gapless and gapped states.

Findings

Identification of topological invariants for Standard Model states

Analysis of quantum phase transitions between semimetal and insulator

Potential implications for topological phases in fundamental physics

Abstract

We consider topological invariants describing semimetal (gapless) and insulating (gapped) states of the quantum vacuum of Standard Model and possible quantum phase transitions between these states.