Near-Conformal Dynamics at Large Charge

TL;DR

This paper explores near-conformal dynamics in four-dimensional theories using a large-charge limit, introducing a dilaton to preserve near-conformal invariance and analyzing its effects on the spectrum and correlators.

Contribution

It develops a formalism incorporating a dilaton for near-conformal invariance and computes the large-charge spectrum and two-point functions, revealing a novel logarithmic term related to the dilaton mass.

Findings

The dilaton mass induces a logarithmic term in the large-charge expansion.

The formalism successfully describes near-conformal behavior at large charge.

Two-point functions of charged operators are explicitly calculated.

Abstract

We investigate four-dimensional near-conformal dynamics by means of the large-charge limit. We first introduce and justify the formalism in which near-conformal invariance is insured by adding a dilaton and then determine the large-charge spectrum of the theory. The dilaton can also be viewed as the radial mode of the EFT. We calculate the two-point functions of charged operators. We discover that the mass of the dilaton, parametrising the near-breaking of conformal invariance, induces a novel term that is logarithmic in the charge. One can therefore employ the large-charge limit to explore near-conformal dynamics and determine dilaton-related properties.