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Many Body Methods Applied to Scattering of Composite Particles in a Gauge Theory with Confinement

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Recent Progress in Many-Body Theories

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Abstract

We present numerical results of a lattice calculation on scattering of two composite particles in QED 1+1 which confines single fermions. The composite particles are taken as neutral, fermionantifermion, lowest mass eigen states of the Hamiltonian. We use the light-cone momentum representation on a lattice and compute the time evolution and S-matrix by diagonalizing the lattice Hamiltonian. Moreover, we discuss a new method based on the Hamiltonian formulation and on the Monte Carlo projector technique in order to compute the Minkowski time evolution and S-matrix. We present results for NN scattering in a non-relativistic potential model.

Talk presented by H. Kroger at VI. International conference on recent progress in many-body theories, Arad, Israel 1989. Université Laval preprint LAVAL-PHY-5/89 December 1989

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Authors and Affiliations

  1. Département de Physique, Université Laval, Québec, Prov. Qué, G1K 7P4, Canada

    D. Bérubé, J. F. Brière & H. Kröger

  2. Institute for Advanced Study, Princeton, NJ, 08540, USA

    K. J. M. Moriarty

  3. John von Neumann National Super Computer Center, Princeton, NJ, 08540, USA

    K. J. M. Moriarty

  4. Department of Mathematics, Statistics and Computer Science, Dalhousie University, Halifax Nova Scotia, Canada

    K. J. M. Moriarty & J. Potvin

  5. Department of Physics, Boston University, Boston, MA, 02215, USA

    J. Potvin

Authors
  1. D. Bérubé
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  2. J. F. Brière
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  3. H. Kröger
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  4. K. J. M. Moriarty
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  5. J. Potvin
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Editor information

Editors and Affiliations

  1. Ben Gurion University, Beer Sheva, Israel

    Y. Avishai

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© 1990 Springer Science+Business Media New York

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Bérubé, D., Brière, J.F., Kröger, H., Moriarty, K.J.M., Potvin, J. (1990). Many Body Methods Applied to Scattering of Composite Particles in a Gauge Theory with Confinement. In: Avishai, Y. (eds) Recent Progress in Many-Body Theories. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3798-4_26

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  • DOI: https://doi.org/10.1007/978-1-4615-3798-4_26

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6693-5

  • Online ISBN: 978-1-4615-3798-4

  • eBook Packages: Springer Book Archive

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