Journal of High Energy Physics

, 2018:116 | Cite as

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

  • S. Prem KumarEmail author
  • Dibakar Roychowdhury
  • Stanislav Stratiev
Open Access
Regular Article - Theoretical Physics


We consider SU(N) Chern-Simons theory coupled to a scalar field in the fundamental 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 accompanied 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.


Chern-Simons Theories Spontaneous Symmetry Breaking Duality in Gauge Field Theories 


Open Access

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  • S. Prem Kumar
    • 1
    Email author
  • Dibakar Roychowdhury
    • 1
  • Stanislav Stratiev
    • 1
  1. 1.Department of PhysicsSwansea UniversitySwanseaU.K.

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