Near-Schrödinger dynamics at large charge

Orlando, Domenico; Pellizzani, Vito; Reffert, Susanne (2021). Near-Schrödinger dynamics at large charge. Physical review. D - particles, fields, gravitation, and cosmology, 103(10) American Physical Society 10.1103/PhysRevD.103.105018

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In this paper we discuss a nonrelativistic system at large charge in a regime where Schrödinger symmetry is slightly broken by an explicit mass term for the dilaton field which nonlinearly realizes nonrelativistic scale invariance. To get there, we first develop the large-charge formalism from the linear sigma model perspective, including the harmonic trapping potential necessary for the nonrelativistic state-operator correspondence. As a signature of the explicit breaking, we identify a √QlogQ term, which depending on the space dimension is either of the same order as the effects coming from the breakdown of the EFT at the edge of the particle cloud, or can be distinguished from these effects over a large range of orders of magnitude.

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; Pellizzani, Vito and Reffert, Susanne

Subjects:

500 Science > 530 Physics

ISSN:

1550-7998

Publisher:

American Physical Society

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

22 Jul 2021 08:56

Last Modified:

22 Jul 2021 08:56

Publisher DOI:

10.1103/PhysRevD.103.105018

ArXiv ID:

2010.07942

BORIS DOI:

10.48350/157678

URI:

https://boris.unibe.ch/id/eprint/157678

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