A safe CFT at large charge

Domenico Orlando, Susanne Reffert*, Francesco Sannino

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Resumé

We apply the large-charge limit to the first known example of a four-dimensional gauge-Yukawa theory featuring an ultraviolet interacting fixed point in all couplings. We determine the energy of the ground state in presence of large fixed global charges and deduce the global symmetry breaking pattern. We show that the fermions decouple at low energy leaving behind a confining Yang-Mills theory and a characteristic spectrum of type I (relativistic) and type II (non-relativistic) Goldstone bosons. Armed with the knowledge acquired above we finally arrive at establishing the conformal dimensions of the theory as a triple expansion in the large-charge, the number of flavors and the controllably small inverse gauge coupling constant at the UV fixed point. Our results unveil a number of noteworthy properties of the low-energy spectrum, vacuum energy and conformal properties of the theory. They also allow us to derive a new consistency condition for the relative sizes of the couplings at the fixed point.

OriginalsprogEngelsk
Artikelnummer164
TidsskriftJournal of High Energy Physics
Vol/bind2019
Udgave nummer8
Antal sider20
ISSN1126-6708
DOI
StatusUdgivet - 1. aug. 2019

Fingeraftryk

Yang-Mills theory
confining
energy
broken symmetry
energy spectra
bosons
fermions
vacuum
expansion
ground state

Citer dette

Orlando, Domenico ; Reffert, Susanne ; Sannino, Francesco. / A safe CFT at large charge. I: Journal of High Energy Physics. 2019 ; Bind 2019, Nr. 8.
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A safe CFT at large charge. / Orlando, Domenico; Reffert, Susanne; Sannino, Francesco.

I: Journal of High Energy Physics, Bind 2019, Nr. 8, 164, 01.08.2019.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - A safe CFT at large charge

AU - Orlando, Domenico

AU - Reffert, Susanne

AU - Sannino, Francesco

PY - 2019/8/1

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N2 - We apply the large-charge limit to the first known example of a four-dimensional gauge-Yukawa theory featuring an ultraviolet interacting fixed point in all couplings. We determine the energy of the ground state in presence of large fixed global charges and deduce the global symmetry breaking pattern. We show that the fermions decouple at low energy leaving behind a confining Yang-Mills theory and a characteristic spectrum of type I (relativistic) and type II (non-relativistic) Goldstone bosons. Armed with the knowledge acquired above we finally arrive at establishing the conformal dimensions of the theory as a triple expansion in the large-charge, the number of flavors and the controllably small inverse gauge coupling constant at the UV fixed point. Our results unveil a number of noteworthy properties of the low-energy spectrum, vacuum energy and conformal properties of the theory. They also allow us to derive a new consistency condition for the relative sizes of the couplings at the fixed point.

AB - We apply the large-charge limit to the first known example of a four-dimensional gauge-Yukawa theory featuring an ultraviolet interacting fixed point in all couplings. We determine the energy of the ground state in presence of large fixed global charges and deduce the global symmetry breaking pattern. We show that the fermions decouple at low energy leaving behind a confining Yang-Mills theory and a characteristic spectrum of type I (relativistic) and type II (non-relativistic) Goldstone bosons. Armed with the knowledge acquired above we finally arrive at establishing the conformal dimensions of the theory as a triple expansion in the large-charge, the number of flavors and the controllably small inverse gauge coupling constant at the UV fixed point. Our results unveil a number of noteworthy properties of the low-energy spectrum, vacuum energy and conformal properties of the theory. They also allow us to derive a new consistency condition for the relative sizes of the couplings at the fixed point.

KW - Conformal Field Theory

KW - Effective Field Theories

KW - Global Symmetries

KW - Spontaneous Symmetry Breaking

U2 - 10.1007/JHEP08(2019)164

DO - 10.1007/JHEP08(2019)164

M3 - Journal article

VL - 2019

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

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M1 - 164

ER -