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Effective Hamiltonains and degenerate perturbation theory calculations of the mass spectrum in lattice QCD

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Zeitschrift für Physik C Particles and Fields

Abstract

Hamiltonian quantum chromodynamics has been formulated on a discrete lattice, in an attempt to calculate the hadronspectrum using strong coupling expansions. Previous attempts have involved including an irrelevant four-fermion interaction term in the Hamiltonian. As well as making the quark content of the zeroth order states the same as that of the simple additive quark model, this term splits the infinite zeroth order degeneracies of the original Hamiltonian. In this paper we calculate the masses of low lying states in the absence of such a term, using an effective Hamiltonian method to solve the degeneracy problem. We discuss the problems of continuing our series to the continuum limit in the presence of level repulsion.

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Reference

  1. Wilson, K.G.: Phys. Rev.D10, 2445 (1974)

    Google Scholar 

  2. Polyakov, A.M. (unpublished); Phys. Lett.59B (1975)

  3. Kogut, J.B., Susskind, L.: Phys. Rev.D11, 395 (1975); Kogut, J.B., Sincliar, D.K., Susskind, L.: Nucl. Phys.B114, 199 (1976)

    Google Scholar 

  4. Banks, T., Raby, S., Susskind, L., Kogut, J.B., Jones, D.R.T., Scharbach, P.N., Sinclair, D.K.: Phys. Rev.D15, 1111 (1977)

    Google Scholar 

  5. Susskind, L.: Phys. Rev.D16, 3031 (1977)

    Google Scholar 

  6. Susskind, L.: In: Weak and electromagnetic interactions at high energy, Les Houches Summer School, 1976, Amsterdam: North Holland 1977

    Google Scholar 

  7. Weinberg, S.: The problem of mass. Talk presented in honour of Rabi, I.I., Harvard University preprint HUTP-77/A057 1977)

  8. Coleman, S.: Ann. Phys.101, 239 (1976)

    Google Scholar 

  9. Kenway, R.D., Hamer, C.J.: Nucl. Phys.B139, 85 (1978)

    Google Scholar 

  10. Kenway, R.D., et al.: (in preparation)

  11. Baker, G.A.: Essentials of Padé approximants. London: Academic Press 1975

    Google Scholar 

  12. Wilson, K.G.: Cargése Summer Institute (1973) and Wilson, K.G.: Phys. Rev.140, B445 (1965); ibidD2, 1438 (1970)

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Author notes

  1. J. B. Kogut

    Present address: Department of Physics, University of Illinois, 61801, Urbana, IL, USA

Authors and Affiliations

  1. Theory Division, CERN, CH-1211, Geneva 23, Switzerland

    D. R. T. Jones

  2. School of Natural Sciences, Institute for Advanced Study, 08540, Princeton, NJ, USA

    J. B. Kogut

  3. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, CB3 9EW, Cambridge

    D. K. Sinclair

Authors
  1. D. R. T. Jones
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  2. J. B. Kogut
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  3. D. K. Sinclair
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Additional information

Supported in part by the National Science Foundation, grant no. NSF 77-25279

Supported by the U.K. Science Research Council

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Jones, D.R.T., Kogut, J.B. & Sinclair, D.K. Effective Hamiltonains and degenerate perturbation theory calculations of the mass spectrum in lattice QCD. Z. Phys. C - Particles and Fields 3, 29–36 (1979). https://doi.org/10.1007/BF01577395

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  • DOI: https://doi.org/10.1007/BF01577395

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