An integrodifferential Dirac equation with quantized charge in one space dimension
type: Item
instance of: scholarly article
title: An integrodifferential Dirac equation with quantized charge in one space dimension
zbMATH Open document ID: 0584.45008
DOI: 10.1007/BF00420572
author: Antonio F. Rañada
published in: Letters in Mathematical Physics
publication date: 1985-01-01T00:00:00Z
review text: The author proposes a one-dimensional integrodifferential Dirac equation: \[ i\gamma^{\mu} \partial_{\mu} \psi -(m^ 2/\lambda)\sin \{4\lambda \int^{P}_{Q}{\bar \psi} i \gamma_{\mu} \gamma^ 5 \psi dx^{\mu}\}B\psi =0, \] which has solitonic solutions, quantized charge and positive definite energy density. This is claimed as a spinorial version of the sine-Gordon equation and hence termed as sine-Dirac equation. With mass m/\(\lambda\), charge \(\pi\) /2\(\lambda\), which are the same as those of the Thirring soliton with \(\delta =\pi /2\), the study of the model leads to quite interesting results on the direct coupling of an extended particle essentially consisting of confined constituents.
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 81Q05
zbMATH DE Number: 3935712
zbMATH Keywords: integrodifferential Dirac equation
zbMATH Keywords: sine-Gordon equation
zbMATH Keywords: solitonic solutions
zbMATH Keywords: quantized charge
zbMATH Keywords: positive definite energy density
zbMATH Keywords: sine-Dirac equation
zbMATH Keywords: massive Thirring equations
zbMATH Keywords: inverse spectral method
MaRDI profile type: Publication
cites work: A model unified field equation
cites work: Nonlinear-evolution equations of physical significance
cites work: A soluble relativistic field theory
cites work: Inverse scattering method for the two-dimensional massive Thirring model
cites work: Quadratic bundle and nonlinear equations
cites work: Multi-soliton solutions to the Thirring model through the reduction method
cites work: A non-linear field theory
full work available at URL: https://doi.org/10.1007/bf00420572
OpenAlex ID: W1494429754
description: scientific article; zbMATH DE number 3935712