Variational methods in the master field formulation for QCD3+1

  • Masa-aki Sato
Gauge Theories I
Part of the Lecture Notes in Physics book series (LNP, volume 176)


Master fields are formulated for finite N-QCD3+1. They satisfy classical Yang-Mills equations with an infinite number of internal indices and an infinite number of constraints. Master fields and constraints on them in the large N limit are derived from the finite N master fields and constraints using vacuum dominance among color singlet states. The large N constraints can be explicitly solved and the solutions involve arbitrary functions which are used as trial functions in variational calculations.


Arbitrary Function Wilson Loop Infinite Number Variational Calculation Trial Function 
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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Masa-aki Sato
    • 1
  1. 1.Department of PhysicsNew York UniversityNew YorkU. S. A.

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