Spectral function sum rule for gauge fields

@article{Nishijima1996SpectralFS,
  title={Spectral function sum rule for gauge fields},
  author={Kazuhiko Nishijima and Noboru Takase},
  journal={International Journal of Modern Physics A},
  year={1996},
  volume={11},
  pages={2281-2292}
}
An exact evaluation of the wave function renormalization constant for the color gauge field is carried out because of the close relationship that it bears to color confinement. Since this constant can be expressed as an integral of the absorptive part or the spectral function of the gauge field propagator, the result takes the form of a sum rule for the spectral function. It should be emphasized that asymptotic freedom plays an essential role in its derivation. 

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