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Roton-phonon excitations in Chern-Simons matter theory at finite density

Prem Kumar Orcid Logo, Dibakar Roy Chowdhury, Stanislav Stratiev

Journal of High Energy Physics, Volume: 2018, Issue: 12

Swansea University Authors: Prem Kumar Orcid Logo, Dibakar Roy Chowdhury, Stanislav Stratiev

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DOI (Published version): 10.1007/jhep12(2018)116

Abstract

We consider SU(N) Chern-Simons theory coupled to a scalar field in the fun- damental representation at strictly zero temperature and finite chemical potential for the global U(1)B particle number or flavour symmetry. In the semiclassical regime we identify a Bose condensed ground state with a vacuum...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Science and Business Media LLC 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa48002
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first_indexed 2018-12-20T14:01:37Z
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spelling 2020-07-25T12:32:24.4053012 v2 48002 2018-12-20 Roton-phonon excitations in Chern-Simons matter theory at finite density 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 5eccb39e8c69de7d1822a983a4feb88f Dibakar Roy Chowdhury Dibakar Roy Chowdhury true false a385ac9bd50882859141d2311922e162 Stanislav Stratiev Stanislav Stratiev true false 2018-12-20 SPH We consider SU(N) Chern-Simons theory coupled to a scalar field in the fun- damental representation at strictly zero temperature and finite chemical potential for the global U(1)B particle number or flavour symmetry. In the semiclassical regime we identify a Bose condensed ground state with a vacuum expectation value (VEV) for the scalar accom- panied by noncommuting background gauge field matrix VEVs. These matrices coincide with the droplet ground state of the Abelian quantum Hall matrix model. The ground state spontaneously breaks U(1)B and Higgses the gauge group whilst preserving spatial rotations and a colour-flavour locked global U(1) symmetry. We compute the perturbative spectrum of semiclassical fluctuations for the SU(2) theory and show the existence of a single massless state with a linear phonon dispersion relation and a roton minimum (and maximum) determining the Landau critical superfluid velocity. For the massless scalar theory with vanishing self interactions, the semiclassical dispersion relations and location of roton extrema take on universal forms. Journal Article Journal of High Energy Physics 2018 12 Springer Science and Business Media LLC 1029-8479 Chern-Simons Theories, Spontaneous Symmetry Breaking, Duality in Gauge Field Theories 19 12 2018 2018-12-19 10.1007/jhep12(2018)116 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-25T12:32:24.4053012 2018-12-20T12:04:38.2921078 Prem Kumar 0000-0003-0867-4213 1 Dibakar Roy Chowdhury 2 Stanislav Stratiev 3 0048002-20122018120521.pdf JHEP12(2018)116.pdf 2018-12-20T12:05:21.8730000 Output 615991 application/pdf Version of Record true Released under the terms of a Creative Commons Attribution License (CC-BY). true eng https://creativecommons.org/licenses/by/4.0/
title Roton-phonon excitations in Chern-Simons matter theory at finite density
spellingShingle Roton-phonon excitations in Chern-Simons matter theory at finite density
Prem Kumar
Dibakar Roy Chowdhury
Stanislav Stratiev
title_short Roton-phonon excitations in Chern-Simons matter theory at finite density
title_full Roton-phonon excitations in Chern-Simons matter theory at finite density
title_fullStr Roton-phonon excitations in Chern-Simons matter theory at finite density
title_full_unstemmed Roton-phonon excitations in Chern-Simons matter theory at finite density
title_sort Roton-phonon excitations in Chern-Simons matter theory at finite density
author_id_str_mv 087fd097167d724ce1b13cb285741ef5
5eccb39e8c69de7d1822a983a4feb88f
a385ac9bd50882859141d2311922e162
author_id_fullname_str_mv 087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
5eccb39e8c69de7d1822a983a4feb88f_***_Dibakar Roy Chowdhury
a385ac9bd50882859141d2311922e162_***_Stanislav Stratiev
author Prem Kumar
Dibakar Roy Chowdhury
Stanislav Stratiev
author2 Prem Kumar
Dibakar Roy Chowdhury
Stanislav Stratiev
format Journal article
container_title Journal of High Energy Physics
container_volume 2018
container_issue 12
publishDate 2018
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/jhep12(2018)116
publisher Springer Science and Business Media LLC
document_store_str 1
active_str 0
description We consider SU(N) Chern-Simons theory coupled to a scalar field in the fun- damental representation at strictly zero temperature and finite chemical potential for the global U(1)B particle number or flavour symmetry. In the semiclassical regime we identify a Bose condensed ground state with a vacuum expectation value (VEV) for the scalar accom- panied by noncommuting background gauge field matrix VEVs. These matrices coincide with the droplet ground state of the Abelian quantum Hall matrix model. The ground state spontaneously breaks U(1)B and Higgses the gauge group whilst preserving spatial rotations and a colour-flavour locked global U(1) symmetry. We compute the perturbative spectrum of semiclassical fluctuations for the SU(2) theory and show the existence of a single massless state with a linear phonon dispersion relation and a roton minimum (and maximum) determining the Landau critical superfluid velocity. For the massless scalar theory with vanishing self interactions, the semiclassical dispersion relations and location of roton extrema take on universal forms.
published_date 2018-12-19T03:58:16Z
_version_ 1763752957777543168
score 11.013148

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