The Universal renormalization factors Z(1) / Z(3) and color confinement condition in nonAbelian gauge theory

Jul, 1995

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1996200320102017202405101520
Abstract:
The ratio Z_1/Z_3 of vertex and wave-function renormalization factors, which is universal (i.e., matter-independent), is shown to equal 1+u which gives the residue of the scalar pole pμpν/p 2\propto p_\mu p_\nu /p~2 of 2-point function < D_\mu c D_\nu \bar c >. This relation is interesting since 1+u=0 has been known to give a sufficient condition for color confinement. We also give an argument that, when 1+u=0 holds, it will be realized by the disappearance of the massless gauge boson pole and is related with the restoration of a certain ``local gauge symmetry" as was discussed by Hata. (Talk given at International Symposium on BRS Symmetry, Sept.18 -- 22, 1995, Kyoto.)
  • talk: Kyoto 1995/09/18
  • gauge field theory: Yang-Mills
  • renormalization
  • vertex function
  • color: confinement
  • universality