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arXiv · 2311.00468

Alternative Frenkel liquid Lagrangian

F. A. P. Alves-Júnior·A. S. Ribeiro·G. B. Souza·José A. Helayël-Neto
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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 $\omega^\mu$ 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.

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F. A. P. Alves-Júnior, A. S. Ribeiro, G. B. Souza, José A. Helayël-Neto. 2023-11-01. Alternative Frenkel liquid Lagrangian. https://arxiv.org/abs/2311.00468

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