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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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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 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.
Keywords: Chern-Simons Theories, Spontaneous Symmetry Breaking, Duality in Gauge Field Theories
Issue: 12

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