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Communications in Mathematical Physics

, Volume 198, Issue 1, pp 111–156 | Cite as

A Non-Gaussian Fixed Point for φ4 in 4−ε Dimensions

  • D. Brydges
  • J. Dimock
  • T. R. Hurd

Abstract:

We consider the φ4 quantum field theory in four dimensions. The Gaussian part of the measure is modified to simulate 4−ε dimensions where ε is small and positive. We give a renormalization group analysis for the infrared behavior of the resulting model. We find that the Gaussian fixed point is unstable but that there is a hyperbolic non-Gaussian fixed point a distance ?(ε) away. In a neighborhood of this fixed point we construct the stable manifold.

Keywords

Manifold Field Theory Renormalization Group Group Analysis Stable Manifold 
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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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • D. Brydges
    • 1
  • J. Dimock
    • 2
  • T. R. Hurd
    • 3
  1. 1.Dept. of Mathematics, University of Virginia, Charlottesville, VA 22903, USA.¶E-mail: db5d@faraday.clas.virginia.eduUS
  2. 2.Dept. of Mathematics, SUNY at Buffalo, Buffalo, NY 14214, USA.¶E-mail: dimock@ubunix.acsu.buffalo.eduUS
  3. 3.Dept. of Mathematics and Statistics, McMaster University, Hamilton, Ontario, L8S 4K1, Canada.¶E-mail: hurdt@mcmail.cis.mcmaster.caCA

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