The large-charge expansion for Schrödinger systems

Favrod, Samuel Clément; Orlando, Domenico; Reffert, Susanne (2018). The large-charge expansion for Schrödinger systems. Journal of High Energy Physics, 2018(12), p. 52. Springer 10.1007/JHEP12(2018)052

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In this note, we perform the large-charge expansion for non-relativistic systems with a global U(1) symmetry in 3 + 1 and 2 + 1 space-time dimensions, motivated by applications to the unitary Fermi gas and anyons. These systems do not have full conformal invariance, but are invariant under the Schrödinger group. Also here, the low-energy physics is encoded by a Goldstone boson which is due to the breaking of the global symmetry when fixing the charge. We find that in 2 + 1 dimensions and higher, there is a large-charge expansion in which quantum corrections are suppressed with respect to the next-to-leading order terms in the Lagrangian. We give the next-to-leading-order expressions for the ground state energy and the speed of sound.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Favrod, Samuel Clément; Orlando, Domenico and Reffert, Susanne

Subjects:

500 Science > 530 Physics

ISSN:

1029-8479

Publisher:

Springer

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

25 Feb 2019 12:05

Last Modified:

01 Nov 2019 06:31

Publisher DOI:

10.1007/JHEP12(2018)052

ArXiv ID:

1809.06371

BORIS DOI:

10.7892/boris.123750

URI:

https://boris.unibe.ch/id/eprint/123750

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