Progress with large N_f beta-functions

Details Progress with large N_f beta-functions Progress with large N_f beta-functions

1996-09-19

arxiv.org/abs/hep-ph/9609409v1

Nucl.Instrum.Meth.A389:361-364,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

Talk presented at AIHENP96, Lausanne, Switzerland, 7 latex pages, uses sprocl.sty

Scientific paper

10.1016/S0168-9002(97)00130-7

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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