Constructive Gauge Theory and Phase Cell Localization

  • James Glimm
  • Arthur Jaffe


The methods described in this book also apply to gauge theories: both electromagnetism and Yang-Mills theories. The approach based on phase cell localization can be used to study both ultraviolet properties and infra-red properties of gauge models. The existence question is more complicated for these models, and the stability bounds are subtler to establish. Gauge theories are central to particle physics, where they provide the theoretical framework for the unification of weak, electromagnetic, and possibly also strong forces.1


Gauge Theory Gauge Transformation Gauge Field Lattice Gauge Theory Unit Lattice 
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Copyright information

© Springer-Verlag New York Inc. 1987

Authors and Affiliations

  • James Glimm
    • 1
  • Arthur Jaffe
    • 2
  1. 1.Courant Institute for Mathematical SciencesNew York UniversityNew YorkUSA
  2. 2.Harvard UniversityCambridgeUSA

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