Selected topics in the large quantum number expansion

Alvarez-Gaume, Luis; Orlando, Domenico; Reffert, Susanne (2021). Selected topics in the large quantum number expansion. Physics reports, 933, pp. 1-66. Elsevier 10.1016/j.physrep.2021.08.001

[img]
Preview
Text
1-s2.0-S0370157321003239-main.pdf - Published Version
Available under License Creative Commons: Attribution-Noncommercial-No Derivative Works (CC-BY-NC-ND).

Download (1MB) | Preview

In this review we study quantum field theories and conformal field theories with global symmetries in the limit of large charge for some of the generators of the symmetry group. At low energy the sectors of the theory with large charge are described by a hybrid form of Goldstone’s theorem, involving its relativistic and non-relativistic forms. The associated effective field theory in the infrared allows the computation of anomalous dimensions, and operator product expansion coefficients in a well defined expansion in inverse powers of the global charge. This applies even when the initial theory does not have a reliable semiclassical approximation. The large quantum number expansion complements, and may provide an alternative approach to the bootstrap and numerical treatments. We will present some general features of the symmetry breaking patterns and the low-energy effective actions, and a fairly large number of examples exhibiting the salient features of this method.

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:

Orlando, Domenico and Reffert, Susanne

Subjects:

500 Science > 530 Physics

ISSN:

0370-1573

Publisher:

Elsevier

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

29 Dec 2021 14:12

Last Modified:

29 Dec 2021 14:12

Publisher DOI:

10.1016/j.physrep.2021.08.001

ArXiv ID:

2008.03308

BORIS DOI:

10.48350/161987

URI:

https://boris.unibe.ch/id/eprint/161987

Actions (login required)

Edit item Edit item
Provide Feedback