This article is cited in 2 papers

Principle of stationary action in the theory of superfluid systems with spontaneously broken translational symmetry

A. S. Peletminskii, S. V. Peletminskii

Akhiezer Institute for Theoretical Physics, National Science Center "Kharkov Institute of Physics and Technology", Kharkiv, Ukraine

Abstract: We construct a Lagrangian describing the low-frequency dynamics of a system with spontaneously broken phase and translational symmetry (a supersolid). Using the principle of stationary action, we obtain the hydrodynamic equations for the considered system. We give a relativistic generalization of the obtained equations of motion in terms of the Gibbs thermodynamic potential density.

Keywords: Lagrangian, hydrodynamic equation, superfluidity, lattice, equation of motion, relativistic invariance.

Received: 29.12.2008

DOI: 10.4213/tmf6402

 English version: Theoretical and Mathematical Physics, 2009, 160:2, 1146–1160

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