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Relativistically Invariant Lattice Theories

  • Kenneth G. Wilson
Part of the Studies in the Natural Sciences book series (SNS, volume 11)

Abstract

It is shown that quantum field theories on a Euclidean space time lattice can be derived which have the same S matrix (after analytic continuation to the Lorentz metric) as a relativistic continuum theory. The lattice spacing of the lattice theory is fixed; no limit of zero lattice spacing is required. It is proposed that (as already discussed by Migdal) a lattice theory be derived as an intermediate step in solving the asymptotically free color gauge theory.

Keywords

Gauge Theory Lattice Spacing Vacuum Expectation Lattice Theory External Line 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    K. Wilson, Erice Lecture notes (1975), CLNS-321, to be published. See also A. Carroll, J. Kogut, D. K. Sinclair, and L. Susskind, Cornell preprint CLNS-325, to be published.Google Scholar
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    For a review, see K. Wilson, Rev. Mod. Phys. 47, 773 (1975), or Th. Niemeyer and J. M. M. Leeuwen, in C. Domb and M. Green, Eds. Phase Transitions and Critical Phenomena, Vol. VI (Academic, to be published).Google Scholar
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    T. L. Bell and K. G. Wilson, Phys, Rev. B11, 3431 (1975).Google Scholar
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    A. A. Migdal, Zh. E.T.F. 69, 810 (see also 1+57) (1975).Google Scholar
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    L. Kadanoff (private communication).Google Scholar

Copyright information

© Plenum Press, New York 1976

Authors and Affiliations

  • Kenneth G. Wilson
    • 1
  1. 1.Laboratory of Nuclear StudiesCornell UniversityIthacaUSA

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