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Some frontiers in constructive quantum field theory and equilibrium statistical mechanics

  • Jürg Fröhlich
Main Lectures
Part of the Lecture Notes in Physics book series (LNP, volume 80)

Abstract

We present and discuss a list of important, mostly open problems in constructive quantum field theory and equilibrium statistical mechanics the solution of which requires (in rare cases : required) new ideas going beyond high - and low - temperature expansions guided by standard (super-renormalizable and infrared finite) perturbation theory about the critical points of some action or Hamilton function, beyond Peierls-type arguments and their variants and beyond spin wave theory and its rigorous counterparts. This list of problems includes higher order phase transitions, critical phenomena, long range forces, gauge theories, quantum solitons, etc.

Keywords

Gauge Theory Lattice Gauge Theory Positive Type Superselection Sector Abelian Higgs Model 
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 1978

Authors and Affiliations

  • Jürg Fröhlich
    • 1
  1. 1.Department of MathematicsPrinceton UniversityPrinceton

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