Related papers: Pseudo-Hermitian Dirac operator on the torus for massless fermions under the action of external fields

Pseudo-Hermitian Dirac operator on the torus for massless fermions under the action of external fields

URL: http://arxiv.org/abs/2109.11110v2
Date: Sat, 2 Apr 2022 17:05:14 GMT
Title: Pseudo-Hermitian Dirac operator on the torus for massless fermions under the action of external fields
Authors: \"O. Ye\c{s}ilta\c{s} and J. Furtado
Abstract summary: The Dirac equation in $(2+1)$ dimensions on the toroidal surface is studied for a massless fermion particle under the action of external fields. The Dirac operator stemming from a metric related to the strain tensor is discussed within the Pseudo-Hermitian operator theory.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: The Dirac equation in $(2+1)$ dimensions on the toroidal surface is studied for a massless fermion particle under the action of external fields. Using the covariant approach based on general relativity, the Dirac operator stemming from a metric related to the strain tensor is discussed within the Pseudo-Hermitian operator theory. Furthermore, analytical solutions are obtained for two cases, namely, constant and position-dependent Fermi velocity.

Related papers

Twisting factors and fixed-time models in quantum field theory [0.0]
We construct a class of fixed-time models in which the commutations relations of a Dirac field with a bosonic field are non-trivial. When the twisting factor is the Coulomb potential, the bosonic field contributes to the divergence of an electric field and its Laplacian generates local gauge transformations of the Dirac field.
arXiv Detail & Related papers (2024-05-09T07:52:30Z)
Casimir Energy in (2 + 1)-Dimensional Field Theories [44.99833362998488]
Two types of boundary conditions give rise to two different exponential decay regimes of the Casimir energy at large distances. Non-perturbative numerical simulations and analytical arguments show such an exponential decay for Dirichlet boundary conditions of SU(2) gauge theories.
arXiv Detail & Related papers (2024-05-06T18:08:31Z)
The Fermionic Entanglement Entropy and Area Law for the Relativistic Dirac Vacuum State [44.99833362998488]
We consider the fermionic entanglement entropy for the free Dirac field in a bounded spatial region of Minkowski spacetime. An area law is proven in the limiting cases where the volume tends to infinity and/or the regularization length tends to zero.
arXiv Detail & Related papers (2023-10-05T12:08:03Z)
Ehrenfest's Theorem for the Dirac Equation in Noncommutative Phase-Space [0.0]
We investigate Ehrenfest's theorem from the Dirac equation in a noncommutative phase-space. Knowing that with both the linear Bopp-Shift and Moyal-Weyl product, the noncommutativity is inserted.
arXiv Detail & Related papers (2023-09-28T11:50:43Z)
Matter relative to quantum hypersurfaces [44.99833362998488]
We extend the Page-Wootters formalism to quantum field theory. By treating hypersurfaces as quantum reference frames, we extend quantum frame transformations to changes between classical and nonclassical hypersurfaces.
arXiv Detail & Related papers (2023-08-24T16:39:00Z)
Twisted quantum walks, generalised Dirac equation and Fermion doubling [0.0]
We introduce a new family of quantum walks, said twisted, which admits as continuous limit, a generalized Dirac operator equipped with a dispersion term. This quadratic term in the energy spectrum acts as an effective mass, leading to a regularization of the well known Fermion doubling problem.
arXiv Detail & Related papers (2022-12-28T15:22:16Z)
The role of Pryce's spin and coordinate operators in the theory of massive Dirac fermions [0.0]
It is shown that the components of Pryce's spin operator of Dirac's theory are $SU(2)$ generators of a representation carried by the space of Pauli's spinors. The corresponding one-particle operators of quantum theory are derived showing how these are related to the isometry generators of the massive Dirac fermions of any polarization.
arXiv Detail & Related papers (2022-06-22T12:21:14Z)
So (2, 1) algebra, local Fermi velocity, and position-dependent mass Dirac equation [0.3437656066916039]
We investigate the (1+1)-dimensional position-dependent mass Dirac equation within the confines of so(2,1) potential algebra. We examine the combined effects of the two when the Dirac equation is equipped with an external pseuodoscalar potential.
arXiv Detail & Related papers (2022-05-04T11:56:33Z)
Manipulating Generalized Dirac Cones In Quantum Metasurfaces [68.8204255655161]
We consider a collection of single quantum emitters arranged in a honeycomb lattice with subwavelength periodicity. We show that introducing uniaxial anisotropy in the lattice results in modified dispersion relations.
arXiv Detail & Related papers (2022-03-21T17:59:58Z)
Spin-1/2 particles under the influence of a uniform magnetic field in the interior Schwarzschild solution [62.997667081978825]
relativistic wave equation for spin-1/2 particles in the interior Schwarzschild solution in the presence of a uniform magnetic field is obtained. Results are relevant to the physics of the interior of neutron stars, where both the gravitational and the magnetic fields are very intense.
arXiv Detail & Related papers (2021-11-30T14:46:00Z)
Conformal field theory from lattice fermions [77.34726150561087]
We provide a rigorous lattice approximation of conformal field theories given in terms of lattice fermions in 1+1-dimensions. We show how these results lead to explicit error estimates pertaining to the quantum simulation of conformal field theories.
arXiv Detail & Related papers (2021-07-29T08:54:07Z)

This list is automatically generated from the titles and abstracts of the papers in this site.