• Corpus ID: 118661434

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… 
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References

SHOWING 1-10 OF 12 REFERENCES

FIELD THEORY. A MODERN PRIMER

This chapter discusses the Feynman Path Integral in Field Theory and path Integral Formulation of Guage Theories, as well as investigating the role of Yang-Mills and Gravity in the construction of the FPR.

The Principles of Quantum Mechanics

IT is now twenty years since the theory of quantum mechanics was founded, and not much less since the first edition of Dirac's book was published. Ever since, it has been a classic of scientific

Quantum mechanics

Quantum Mechanics for Organic Chemists.By Howard E. Zimmerman. Pp. x + 215. (Academic: New York and London, May 1975.) $16.50; £7.90.

Regge poles in particle physics

Soryushi Butsurigaku (Elementary Particle Physics) (in Japanese)

  • 1995

Quark confinement (in Japanese)

  • Buturigaku Saizensen (Physics Frontier), Vol. 1, ed. Y. Ohtsuki,
  • 1982

Lattice gauge theories: an introduction

SP Physics 45

  • 1
  • 1968

Soryusi Hyojun Riron to Jikken - teki Kiso ( Standard Theory of Elementary Particles and Experimental Basis ) ( in Japanese ) , ( Asakura Publishing , Tokyo , 1999 ) . [ 29 ] S . Okubo

  • Quantum Mechanics The Principles of Quantum Mechanics
  • 1958