Non-commutative dynamics and roton-like spectra in bosonic and fermionic condensates

Abstract

The relation between symmetry breaking in non-commutative cut-off field theories and transitions to inhomogeneous phases in condensed matter is discussed. The non-commutative dynamics can be regarded as an effective description of the mechanisms which lead to inhomogeneous phase transitions and their relation to the roton-like excitation spectrum. The typical infrared-ultraviolet mixing in non-commutative theories contains the peculiar ingredients to describe the interplay between short and long distance particle interactions which is responsible for the non-uniform background and the roton spectrum both in bosonic and fermionic condensates.

4 Pages, no figures

References in corpus (7)

• Inhomogeneous Superconductivity in Condensed Matter and QCD
• Spin Polarization and Color Superconductivity in Quark Matter
• Nonuniform symmetry breaking in noncommutative $\lambda {\Phi }^4$ theory
• Spontaneous rotational symmetry breaking and roton like excitations in gauged sigma-model at finite density
• Inhomogeneous chiral symmetry breaking in noncommutative four fermion interactions
• The Roton in a Bose-Einstein Condensate
• Possibility of color magnetic superconductivity

Cited by in corpus (3)

• On the Vacuum Cherenkov Radiation in Noncommutative Electrodynamics and the Elusive Effects of Lorentz Violation
• Roton-phonon excitations in Chern-Simons matter theory at finite density
• Inhomogeneous phase of a Gluon Plasma at finite temperature and density