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Constructive Physics Results in Field Theory, Statistical Mechanics and Condensed Matter Physics pp 37–49Cite as

Weak perturbations of the massless Gaussian measure

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Part of the book series: Lecture Notes in Physics ((LNP,volume 446))

Abstract

This is a summary of some ideas and estimates that simplify the analysis of scaling limits of infinite volume limits of measures of the form

$$\frac{1}{Z}d\mu (\phi )e^{\int {dxf(\phi ,\partial \phi ,\partial \partial \phi ,...)} } ,$$

, where dμ(φ) is a Gaussian measure with long range correlations.

Research supported by NSF Grant DMS 9401028.

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Authors and Affiliations

  1. Department. of Mathematics, University of Virginia, 22903, Charlottesville, VA

    David Brydges

Authors
  1. David Brydges
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Editor information

Vincent Rivasseau

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© 1995 Springer-Verlag

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Brydges, D. (1995). Weak perturbations of the massless Gaussian measure. In: Rivasseau, V. (eds) Constructive Physics Results in Field Theory, Statistical Mechanics and Condensed Matter Physics. Lecture Notes in Physics, vol 446. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59190-7_21

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  • DOI: https://doi.org/10.1007/3-540-59190-7_21

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-59190-0

  • Online ISBN: 978-3-540-49222-1

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