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arXiv · hep-ph/9609409

Progress with large N_f beta-functions

J. A. Gracey
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Abstract

We report on the progress in the computation of the beta-functions of phi^4 theory and QCD in the large N expansion. For the former we give an analytic formula for the critical exponent which encodes higher order coefficients in the series beyond those currently known in the MSbar scheme at O(1/N^2) in a large N expansion. This allows us to deduce new coefficients in the field anomalous dimension which relate to Kreimer's knot theory of the divergences of a quantum field theory. A similar exponent is computed for the beta-function of QCD at O(1/N_f).

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J. A. Gracey. 1996-09-19. Progress with large N_f beta-functions. https://doi.org/10.1016/s0168-9002(97)00130-7

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