English

Infrared Behavior of Interacting Bosons at Zero Temperature

Condensed Matter 2009-10-28 v2

Abstract

We exploit the symmetries associated with the stability of the superfluid phase to solve the long-standing problem of interacting bosons in the presence of a condensate at zero temperature. Implementation of these symmetries poses strong conditions on the renormalizations that heal the singularities of perturbation theory. The renormalized theory gives: For d>3 the Bogoliubov quasiparticles as an exact result; for 1<d<=3 a nontrivial solution with the exact exponent for the singular longitudinal correlation function, with phonons again as low-lying excitations.

Keywords

Cite

@article{arxiv.cond-mat/9604076,
  title  = {Infrared Behavior of Interacting Bosons at Zero Temperature},
  author = {C. Castellani and C. Di Castro and F. Pistolesi and G. C. Strinati},
  journal= {arXiv preprint arXiv:cond-mat/9604076},
  year   = {2009}
}

Comments

Minor Changes. 4 pages, RevTeX, no figures, uses multicol.sty e-mail: pistoles@ill.fr

R2 v1 2026-07-22T11:52:51.017Z