Lifshitz-type Quantum Field Theories in Particle Physics

TL;DR

This paper reviews Lifshitz-type quantum field theories in particle physics, highlighting their advantages like improved convergence and new interactions, while discussing challenges in Lorentz symmetry emergence at low energies.

Contribution

It provides a comprehensive overview of Lifshitz-type models, emphasizing their novel features and the issues related to Lorentz symmetry restoration in the infrared regime.

Findings

Enhanced convergence of Feynman graphs

Introduction of new renormalizable interactions

Challenges in Lorentz symmetry emergence

Abstract

This introduction to Lifshitz-type field theories reviews some of its aspects in Particle Physics. Attractive features of these models are described with different examples, as the improvement of graphs convergence, the introduction of new renormalizable interactions, dynamical mass generation, asymptotic freedom, and other features related to more specific models. On the other hand, problems with the expected emergence of Lorentz symmetry in the IR are discussed, related to the different effective light cones seen by different particles when they interact.