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Solution of the Lattice ϕ4 Theory in 4 Dimensions

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Nonperturbative Quantum Field Theory

Part of the book series: Nato Science Series B: ((NSSB,volume 185))

Abstract

Some recent analytical and numerical studies of the one component ϕ4 theory on a 4-dimensional hypercubic lattice are reviewed. Taken together, the results obtained provide a complete solution of the model in the sense that most low energy amplitudes can be calculated with reasonable accuracy in those parts of the phase diagram, where the ultra-violet cutoff ∧ satisfies ∧≥2m (∧ = 1/a, a: lattice spacing, m: physical particle mass). Further topics discussed include the issue of “triviality” and a possible upper bound on the Higgs meson mass.

Lectures given at the Nato Advanced Study Institute on “Non-Perturbative Quantum Field Theory”, Cargese (1987)

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Author information

Authors and Affiliations

  1. DESY, Hamburg, Federal Republic of Germany

    M. Lüscher

Authors
  1. M. Lüscher
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Editor information

Editors and Affiliations

  1. University of Utrecht, Utrecht, The Netherlands

    G. ’t Hooft

  2. Harvard University, Cambridge, Massachusetts, USA

    A. Jaffe

  3. University of Hamburg, Hamburg, Federal Republic of Germany

    G. Mack

  4. University of Paris VI, Paris, France

    P. K. Mitter

  5. LAPP, Annecy-le-Vieux, France

    R. Stora

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© 1988 Plenum Press, New York

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Lüscher, M. (1988). Solution of the Lattice ϕ4 Theory in 4 Dimensions. In: ’t Hooft, G., Jaffe, A., Mack, G., Mitter, P.K., Stora, R. (eds) Nonperturbative Quantum Field Theory. Nato Science Series B:, vol 185. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0729-7_10

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  • DOI: https://doi.org/10.1007/978-1-4613-0729-7_10

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  • Online ISBN: 978-1-4613-0729-7

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