Classical Gauge Theories and Their Quantum Role

  • Arthur Jaffe
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 59)


The classical Euclidean variational equations (δA= 0, where A is the action functional, play two important roles. First, in dimension d ≤ 3 they provide time independent solutions to classical four-dimensional physics. In that way, for example, the Ginzburg-Landau model has proved important in the theory of superconductivity. The second role of Euclidean stationary points of the action is to provide a starting point for classical approximations to quantum fields. We make some remarks on these two topics; for classical gauge theories we restrict attention to the Higgs model.


Classical Solution Flux Tube Vortex Solution Vortex Configuration Finite Action 
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Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • Arthur Jaffe
    • 1
  1. 1.Harvard UniversityCambridgeUSA

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