Progress with large N_f beta-functions
High Energy Physics - Phenomenology
2009-08-25 v1
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).
Keywords
Cite
@article{arxiv.hep-ph/9609409,
title = {Progress with large N_f beta-functions},
author = {J. A. Gracey},
journal= {arXiv preprint arXiv:hep-ph/9609409},
year = {2009}
}
Comments
Talk presented at AIHENP96, Lausanne, Switzerland, 7 latex pages, uses sprocl.sty