Conformal Structure of the Heavy Particle EFT Operator Basis

TL;DR

This paper develops a systematic way to construct operator bases in heavy particle effective field theories using nonrelativistic conformal symmetry, accounting for redundancies.

Contribution

It introduces a character-based method to generate operators in nonrelativistic EFTs, considering equations of motion and integration by parts redundancies.

Findings

Derived characters for operator generation

Provided a framework for operator basis construction

Addressed redundancies in nonrelativistic EFTs

Abstract

An operator basis of an effective theory with a heavy particle, subject to external gauge fields, is spanned by a particular kind of neutral scalar primary of the nonrelativistic conformal group. We calculate the characters that can be used for generating the operators in a non-relativistic effective field theory, which accounts for redundancies from the equations of motion and integration by parts.