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Numerical Field Theory on the Continuum

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Physics of Mass

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Abstract

An approach to calculating approximate solutions to the continuum Schwinger-Dyson equations is outlined, with examples for φ4 in D=1. This approach is based on the source Galerkin methods developed by Garcia, Guralnik and Lawson. Numerical issues and opportunities for future calculations are also discussed briefly.

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References

  1. S. García. A new numerical method for quantum field theory. PhD thesis, Brown University, 1993.

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  2. S. García, G. S. Guralnik, and J. W. Lawson. A new approach to numerical quantum field theory. Physics Letters, B333:119, 1994.

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  3. S. García, Z. Guralnik, and G. S. Guralnik. Theta vacua and boundary conditions of the Schwinger-Dyson equations. hep-th/9612079, 1996.

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  4. S. C. Hahn. Functional methods of weighted residuals and quantum field theory. PhD thesis, Brown University, 1998.

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  5. J. W. Lawson. Numerical method for quantum field theory. PhD thesis, Brown University, 1994.

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  6. J. W. Lawson and G. S. Guralnik. New numerical method for fermion field theory. Nuclear Physics, B459:612, 1996. hep-th/9507131.

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  7. J. W. Lawson and G. S. Guralnik. Source Galerkin calculations in scalar field theory. Nuclear Physics, B459:589, 1996. hep-th/9507130.

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  8. F. Stenger. Numerical Methods Based on Sinc and Analytic Functions. Springer Series in Computational Mathematics. Springer-Verlag, 1993.

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Author information

Authors and Affiliations

  1. Department of Physics, Brown University, Providence, RI, 02912-1843

    Stephen Hahn & G. S. Guralnik

Authors
  1. Stephen Hahn
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  2. G. S. Guralnik
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Editor information

Editors and Affiliations

  1. Global Foundation, Inc., Coral Gables, Florida

    Behram N. Kursunoglu

  2. Florida International University, Miami, Florida

    Stephan L. Mintz

  3. University of Miami, Coral Gables, Florida

    Arnold Perlmutter

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© 2002 Kluwer Academic Publishers

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Hahn, S., Guralnik, G.S. (2002). Numerical Field Theory on the Continuum. In: Kursunoglu, B.N., Mintz, S.L., Perlmutter, A. (eds) Physics of Mass. Springer, Boston, MA. https://doi.org/10.1007/0-306-47085-3_8

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  • DOI: https://doi.org/10.1007/0-306-47085-3_8

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-306-46029-6

  • Online ISBN: 978-0-306-47085-1

  • eBook Packages: Springer Book Archive

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