Journal Article2025Cited by 1

Hydrostatic equilibrium in multi-Weyl semimetals

Jewel Kumar Ghosh, Francisco Peña-Benítez, Patricio Salgado-Rebolledo

Journal of High Energy Physics

Springer Science and Business Media LLC, Vol. 2025, Issue 10, ISBN: 1029-8479

DOI: 10.1007/jhep10(2025)055URL

Abstract

A bstract We study the hydrostatic equilibrium of multi-Weyl semimetals, a class of systems with Weyl-like quasi-particles but anisotropic dispersion relation ω 2 ∼ $$ {k}_{\parallel}^2 $$ k ∥ 2 + $$ {k}_{\perp}^{2n} $$ k ⊥ 2 n , with n a possitive integer. A characteristic feature of multi-Weyl systems is the lack of Lorentz invariance, instead, they possess the reduced spacetime symmetry (SO(1, 1) × SO(2)) ⋉ ℝ 4 . In this work we propose a covariant formulation for the low energy theory, allowing for a minimal coupling of the fermion field to external geometric background and U(1) gauge field. The non-Lorentzian structure of the field theory demands introducing an Aristotelian spacetime analogous to the so-called stringy Newton-Cartan geometry [Andringa et al. (2012) arXiv:1206.5176]. Our proposal allows for a systematic study of the hydrostatic properties via the derivation of the partition function of the system. In addition to multi-Weyl models, our formulation can be applied to systems with similar spacetime symmetry groups, such as Bjorken flow.

CCDS Authors

Jewel Kumar Ghosh, PhD
Jewel Kumar Ghosh, PhD

Jewel Kumar Ghosh, PhD

  • Director, ComPAs Wing

  • Assistant Professor

    Department of Physical Sciences

    Independent University, Bangladesh (IUB)

Published at

JHEP, SciPost Physics

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Cited By

  1. 1.E. A. Bergshoeff, G. Giorgi, J. Rosseel, P. Salgado-Rebolledo. (2025). A conformal approach to matter coupled Aristotelian gravity. Journal of High Energy Physics, 2025(12)[10.1007/jhep12(2025)101]
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