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On confinement of fermions in strongly coupled lattice gauge theory

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Abstract

A lattice theory of Fermi fields of massm coupled to gauge fields in the region wherem and the gauge field coupling constantg are large is studied. It is shown that the energy of some states composed of a fermion and a distant antifermion with a string in between grows at least linearly with the distance if 1<g 6<m<g εlogg.

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References

  1. Balian, R., Drouffe, J.M., Itzykson, C.: Gauge fields on a lattice. I–III. Phys. Rev. D10, 3376–3395 (1974), 2098–2103, and 2104–2119 (1975)

    Google Scholar 

  2. Callan, C.G., Dashen, R.F., Gross, D.J.: The structure of the gauge theory vacuum. Phys. Lett.63B, 334–340 (1976)

    Google Scholar 

  3. Callan, C.G., Dashen, R.F., Gross, D.J.: A mechanism for quark confinement. Phys. Lett.66B, 375–381 (1977)

    Google Scholar 

  4. Cooper, A., Rosen, L.: The weakly coupled Yukawa2 field theory: cluster expansion and Wightman axioms. Preprint (1976)

  5. Glimm, J., Jaffe, A.: Instantons in aU(1) lattice gauge theory: a Coulomb dipole gas. Preprint (1977)

  6. Glimm, J., Jaffe, A., Spencer, T.: The particle structure of the weakly coupledP(ϕ)2 model and other applications of high temperature expansions. I, II. In: Constructive quantum field theory. Lecture notes in physics, Vol. 25, pp. 132–198 and 199–242. Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

  7. Kogut, J., Susskind, L.: Hamiltonian formulation of Wilson's lattice gauge theories. Phys. Rev. D11, 395–408 (1975)

    Google Scholar 

  8. Magnen, J., Sénéor, R.: The Wightman axioms for the weakly coupled Yukawa model in two dimensions. Commun. math. Phys.51, 297–313 (1976)

    Article  Google Scholar 

  9. Osterwalder, K.: Yang-Mills fields on the lattice. Preprint (1976)

  10. Osterwalder, K., Seiler, E.: Gauge field theories on the lattice. Preprint (1977)

  11. Osterwalder, K., Schrader, R.: Axioms for Euclidean Green's functions. Commun. math. Phys.31, 83–112 (1973)

    Article  Google Scholar 

  12. Polyakov, A.M.: Compact gauge fields and the infrared catastrophe. Phys. Lett.59B, 82–87 (1975)

    Google Scholar 

  13. Polyakov, A.M.: Quark confinement and topology of gauge theories. Nucl. Phys. B120, 429–458 (1977)

    Article  Google Scholar 

  14. Simon, B.: TheP(ϕ)2 Euclidean (quantum) field theory. Princeton New Jersey: Princeton University Press 1974

    Google Scholar 

  15. Wilson, K.G.: Confinement of quarks. Phys. Rev. D10, 2445–2459 (1974)

    Google Scholar 

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Authors and Affiliations

  1. Max-Planck-Institut für Physik und Astrophysik, D-8000, München 40, Federal Republic of Germany

    K. Gawędzki

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  1. K. Gawędzki
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Communicated by A. Jaffe

On leave from Department of Mathematical Methods of Physcis, Warsaw University, Hoża 74, PL 00-682 Warsaw, Poland

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Gawędzki, K. On confinement of fermions in strongly coupled lattice gauge theory. Commun.Math. Phys. 63, 31–47 (1978). https://doi.org/10.1007/BF02156128

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  • DOI: https://doi.org/10.1007/BF02156128

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