Progress with large N_f beta-functions

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).

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

Cited by in corpus (10)

• Minimally subtracted six loop renormalization of $O(n)$-symmetric ${\varphi }^4$ theory and critical exponents
• The critical O(N) CFT: Methods and conformal data
• The simple scheme for the calculation of the anomalous dimensions of composite operators in the 1/N expansion
• Critical exponents from five-loop scalar theory renormalization near six-dimensions
• On the stability problem in the O(N) nonlinear sigma model
• A critical look at $\beta$-function singularities at large $N$
• A multiloop improvement of non-singlet QCD evolution equations
• Study of the Question of an Ultraviolet Zero in the Six-Loop Beta Function of the O($N$) $\lambda |\vec{\varphi }{|}^4$ Theory
• Non-zeta knots in the renormalization of the Wess-Zumino model?
• The beta-function of the Wess-Zumino model at O(1/N^2)