English

Alternative Frenkel liquid Lagrangian

High Energy Physics - Theory 2023-11-22 v2

Abstract

Based on the Caldirola-Canai approach, we endeavor to propose a dissipative scalar field theory in Minkowski space-time. We present its free particle solutions for complex ωμ\omega^\mu components, and we find three profiles of dispersion relations, two of them support gapped momentum states. We also present an alternative view of this model, where dissipation acts as a geometric effect, and an effective negative scalar curvature space-time emerges. Finally, we illustrate how the present model could be adapted to describe shear waves in Frenkel liquids.

Keywords

Cite

@article{arxiv.2311.00468,
  title  = {Alternative Frenkel liquid Lagrangian},
  author = {F. A. P. Alves-Júnior and A. S. Ribeiro and G. B. Souza and José A. Helayël-Neto},
  journal= {arXiv preprint arXiv:2311.00468},
  year   = {2023}
}
R2 v1 2026-06-28T13:08:29.399Z