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Elimination of color in 1+1-dimensional QCD

  • Hadron Physics
  • Published:
Zeitschrift für Physik A Hadrons and Nuclei

Abstract

We discuss QCD in one space and one time dimension on a finite circle. Boundary conditions force the retention of quantum mechanical (zero-mode) gauge degrees of freedom in a Hamiltonian formulation. We explicitely consider systems of static quarks and find that the dynamics of the zero modes lead to an elimination of fermionic non-singlet states from the spectrum in the continuum limit. Thus a mechanism is exhibited which justifies the quark model prescription of coupling the fermionic constituents alone already to a color singlet. As a further consequence, the effective interaction in larger clusters of quarks has a many-body structure of the flipflop type.

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Author notes

  1. Michael Engelhardt

    Present address: Department of Condensed Matter Physics, Weizmann Institute of Science, 76100, Rehovot, Israel

  2. Bernd Schreiber

    Present address: Center for Theoretical Physics, Massachusetts Institute of Technology, 02139, Cambridge, MA, USA

Authors and Affiliations

  1. Institut für Theoretische Physik III, Universität Erlangen-Nürnberg, Staudtstrasse 7, D-91058, Erlangen, Germany

    Michael Engelhardt & Bernd Schreiber

Authors
  1. Michael Engelhardt
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  2. Bernd Schreiber
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Additional information

Work supported by the Bundesministerium für Forschung und Technologie

We would like to acknowledge fruitful discussions with M. Burkardt, F. Lenz, S. Levit, R. Naus, D. Stoll, and M. Thies.

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Engelhardt, M., Schreiber, B. Elimination of color in 1+1-dimensional QCD. Z. Physik A - Hadrons and Nuclei 351, 71–76 (1995). https://doi.org/10.1007/BF01292787

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  • DOI: https://doi.org/10.1007/BF01292787

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