2D CFTs: Large charge is not enough to control the dynamics

Araujo, Thiago; Celikbas, Omar; Orlando, Domenico; Reffert, Susanne (2022). 2D CFTs: Large charge is not enough to control the dynamics. Physical review. D - particles, fields, gravitation, and cosmology, 105(8) American Physical Society 10.1103/PhysRevD.105.086029

[img]
Preview
Text
PhysRevD.105.086029.pdf - Published Version
Available under License Creative Commons: Attribution (CC-BY).

Download (241kB) | Preview

In this note we study two-dimensional conformal field theories at large global charge. Since the large-charge sector decouples from the dynamics, it does not control the dynamics and an effective field theory construction that works in higher-dimensional theories fails. It is however possible to use large charge in a double-scaling limit when another controlling parameter is present. We find some general features of the spectrum of models that admit a nonlinear sigma model description in a Wentzel-Kramers-Brillouin approximation and use the large-charge sector of the solvable S U ( 2 ) k Wess-Zumino-Witten model to argue the regimes of applicability of both the large-Q expansion and the double-scaling limit.

Item Type:

Journal Article (Original Article)

Division/Institute:

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

UniBE Contributor:

Rocha Araujo, Thiago, Orlando, Domenico, Reffert, Susanne

Subjects:

500 Science > 530 Physics

ISSN:

1550-7998

Publisher:

American Physical Society

Language:

English

Submitter:

Binia Marti

Date Deposited:

17 Mar 2023 10:26

Last Modified:

17 Mar 2023 23:27

Publisher DOI:

10.1103/PhysRevD.105.086029

BORIS DOI:

10.48350/180233

URI:

https://boris.unibe.ch/id/eprint/180233

Actions (login required)

Edit item Edit item
Provide Feedback