A safe CFT at large charge

Orlando, Domenico; Reffert, Susanne; Sannino, Francesco (2019). A safe CFT at large charge. Journal of High Energy Physics, 2019(8) Springer 10.1007/JHEP08(2019)164

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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 proper- ties of the theory. They also allow us to derive a new consistency condition for the relative sizes of the couplings at the fixed point.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Orlando, Domenico and Reffert, Susanne

Subjects:

500 Science > 530 Physics

ISSN:

1029-8479

Publisher:

Springer

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

05 Nov 2019 10:15

Last Modified:

05 Nov 2019 10:15

Publisher DOI:

10.1007/JHEP08(2019)164

ArXiv ID:

1905.00026

BORIS DOI:

10.7892/boris.134346

URI:

https://boris.unibe.ch/id/eprint/134346

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