# Analytic eigenenergies of the Dirac equation with finite degrees of freedom under a confining linear potential using basis functions localized in spacetime

@article{Fukushima2015AnalyticEO, title={Analytic eigenenergies of the Dirac equation with finite degrees of freedom under a confining linear potential using basis functions localized in spacetime}, author={Kimichika Fukushima and Hikaru Sato}, journal={arXiv: High Energy Physics - Theory}, year={2015}, pages={030-044} }

Considering the propagation of fields in the spacetime continuum and the well-defined features of fields with finite degrees of freedom, the wave function is expanded in terms of a finite set of basis functions localized in spacetime. This paper presents the analytic eigenenergies derived for a confined fundamental fermion-antifermion pair under a linear potential obtained from the Wilson loop for the non-Abelian Yang-Mills field. The Hamiltonian matrix of the Dirac equation is analytically…

## One Citation

### Toward construction of a consistent field theory with Poincaré covariance in terms of step-function-type basis functions for gauge fields

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- 2017

This paper is a review by the authors concerning the construction of a Poincare covariant (owing to space–time continuum) field-theoretic formalism in terms of step-function-type basis functions…

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