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On Lattice Gauge Theory with Matter

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Quarks, Leptons, and Beyond

Part of the book series: NATO ASI Series ((NSSB,volume 122))

Abstract

This lecture discusses some problems connected with the introduction of matter fields in lattice gauge theories. A review is not intended, rather we shall pick up and discuss a number of aspects, both of the theoretical and of the numerical approach, trying to gain a consistent, if very incomplete picture. The choice is to a large extent subjective, i. e. difficult to justify. The accent is on the lattice fermions, while the Higgs models and their properties are merely mentioned. We restrict ourselves to the euclidean Lagrangian formulation. All approximative calculations with fermions (strong coupling, mean field, “quenched” Monte Carlo, etc.) are left out. At a more special level, we shall stick to the Wilson fermions and shall not analyse other actions (Susskind, geometric, SLAC fermions, etc.), we shall illustrate the diffusion equation algorithms in their Random Walk representation (rather than the Langevin equation), etc. The author apologizes for an incomplete bibliography, which fails to do justice to all the work in this field. For monographs and reviews see Ref. [1, 2].

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Author information

Authors and Affiliations

  1. Max-Planck-Institut für Physik und Astrophysik, Werner Heisenberg Institut für Physik, Munich, Fed. Rep. Germany

    Ion Olimpiu Stamatescu

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  1. Ion Olimpiu Stamatescu
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Editors and Affiliations

  1. University of Munich, Munich, Federal Republic of Germany

    H. Fritzsch

  2. Max Planck Institute for Physics and Astrophysics, Munich, Federal Republic of Germany

    R. D. Peccei , H. Saller  & F. Wagner ,  & 

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Stamatescu, I.O. (1985). On Lattice Gauge Theory with Matter. In: Fritzsch, H., Peccei, R.D., Saller, H., Wagner, F. (eds) Quarks, Leptons, and Beyond. NATO ASI Series, vol 122. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2254-0_4

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  • DOI: https://doi.org/10.1007/978-1-4899-2254-0_4

  • Publisher Name: Springer, Boston, MA

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  • Online ISBN: 978-1-4899-2254-0

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