Conjecture on the infrared structure of the vacuum Schrödinger wave functional of QCD

  title={Conjecture on the infrared structure of the vacuum Schr{\"o}dinger wave functional of QCD},
  author={John M. Cornwall},
  journal={Physical Review D},
  • J. Cornwall
  • Published 7 February 2007
  • Physics
  • Physical Review D
The Schrodinger wave functional ψ = exp(-S(Aai)(x)}) for the d = 3 + 1 QCD vacuum is a partition function constructed in d = 4; the exponent 2S [in |ψ| 2 = exp(-2S)] plays the role of a d = 3 Euclidean action. We start from a simple conjecture for S based on dynamical generation of a gluon mass M in d = 4, then use earlier techniques of the author to extend (in principle) the conjectured form to full non-Abelian gauge invariance. We argue that the exact leading term, of 0(M), in an expansion of… 

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