Charging the conformal window

Domenico Orlando, Susanne Reffert, Francesco Sannino

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Abstract

We investigate the properties of near-conformal dynamics in a sector of large charge when approaching the lower boundary of the conformal window from the chirally broken phase. To elucidate our approach we use the time-honored example of the phenomenologically relevant SU(2) color theory featuring Nf Dirac fermions transforming in the fundamental representation of the gauge group. In the chirally broken phase we employ the effective pion Lagrangian featuring also a pseudodilaton to capture a possible smooth conformal-to-nonconformal phase transition. We charge the baryon symmetry of the Lagrangian and study its impact on the ground state and spectrum of the theory as well as the would-be conformal dimensions of the lowest large-charge operator. We moreover study the effects of and dependence on the fermion mass term.

OriginalsprogEngelsk
Artikelnummer105026
TidsskriftPhysical Review D
Vol/bind103
Udgave nummer10
Antal sider11
ISSN2470-0010
DOI
StatusUdgivet - maj 2021

Bibliografisk note

Funding Information:
D. O. acknowledges partial support by the NCCR 51nf40–141869 “The Mathematics of Physics” (SwissMAP). The work of S. R. is supported by the Swiss National Science Foundation under Grant No. PP00P2_183718/1. The work of F. S. is partially supported by the Danish National Research Foundation under Grant No. DNRF:90.

Publisher Copyright:
© 2021 authors.

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