The spinful large charge sector of non-relativistic CFTs: from phonons to vortex crystals

Kravec, S. M.; Pal, Sridip

doi:10.1007/jhep05(2019)194

The spinful large charge sector of non-relativistic CFTs: from phonons to vortex crystals

Journal Article · Wed May 29 00:00:00 EDT 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep05(2019)194· OSTI ID:1611232

Kravec, S. M. ^[1]; ^[2]

Univ. of California, San Diego, CA (United States); DOE/OSTI
Univ. of California, San Diego, CA (United States)

We study operators in Schrödinger invariant field theories (non-relativistic conformal field theories or NRCFTs) with large charge (particle number) and spin. Via the state-operator correspondence for NRCFTs, such operators correspond to states of a superfluid in a harmonic trap with phonons or vortices. Using the effective field theory of the Goldstone mode, we compute the dimensions of operators to leading order in the angular momentum L and charge Q. We find a diverse set of scaling behaviors for NRCFTs in both d = 2 and d = 3 spatial dimensions. These results apply to theories with a superfluid phase, such as unitary fermions or critical anyon systems.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of California, San Diego, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0009919

OSTI ID:: 1611232

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 5 Vol. 2019; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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