Skip to main content
Log in

Can quarks always be confined by a linear potential?

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

It is demonstrated on the basis of the Dirac equation that quarks cannot be confined by a vector gluon potential of the form(r/r 0)a or[ln(r/r 0]a, a>0, if the quark-gluon interaction conserves parity. In order to confine quarks with the parity-conserving interaction, the effective gluon potential must be a pseudovector or a scalar. These are shown in a simple Yang-Mills field with theSU(2) group.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. R. P. Feynman,Nucl. Phys. B 188, 479 (1981).

    Google Scholar 

  2. J. P. Hsu,Phys. Rev. D 24, 802 (1981).

    Google Scholar 

  3. P. A. M. Dirac, inThe Physicist's Conception of Nature, J. Mehra ed. (Reidel, Dordrecht, 1973), pp. 12–14.

    Google Scholar 

  4. G. S. LaRue, J. D. Phillips, and W. M. Fairbank,Phys. Rev. Lett. 46, 967 (1981), and references therein.

    Google Scholar 

  5. P. A. M. Dirac,The Principle of Quantum Mechanics (Oxford Univ. Press, London, 1958), 4th edn., p. 265.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ai, H.B., Hsu, J.P. Can quarks always be confined by a linear potential?. Found Phys 15, 155–159 (1985). https://doi.org/10.1007/BF00735286

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00735286

Keywords

Navigation