Surprises with Nonrelativistic Naturalness

TL;DR

This paper investigates the concept of naturalness in nonrelativistic systems, revealing unexpected results that challenge relativistic assumptions and potentially impact fundamental physics puzzles like the cosmological constant and Higgs hierarchy problems.

Contribution

It introduces a detailed analysis of nonrelativistic naturalness, uncovering surprising phenomena that extend and challenge existing relativistic frameworks.

Findings

Discovered unexpected naturalness behaviors in nonrelativistic scalar fields

Challenged relativistic intuition with new nonrelativistic phenomena

Potential implications for cosmology and fundamental physics puzzles

Abstract

We explore the landscape of technical naturalness for nonrelativistic systems, finding surprises which challenge and enrich our relativistic intuition already in the simplest case of a single scalar field. While the immediate applications are expected in condensed matter and perhaps in cosmology, the study is motivated by the leading puzzles of fundamental physics involving gravity: The cosmological constant problem and the Higgs mass hierarchy problem.