Central functions and their physical implications

Details Central functions and their physical implications Central functions and their physical implications

1997-02-06

arxiv.org/abs/hep-th/9702056v2

JHEP 9805:005,1998

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX. Some points stressed. Three references added

Scientific paper

10.1088/1126-6708/1998/05/005

I define central functions c(g) and c'(g) in quantum field theory, useful to study the flow of the numbers of vector, spinor and scalar degrees of freedom from the UV limit to the IR limit and basic ingredients for a description of quantum field theory as an interpolating theory between pairs of 4D conformal field theories. The key importance of the correlator of four stress-energy tensors is outlined in this respect. Then I focus the analysis on the behaviours of the central functions in QCD, computing their slopes in the UV critical point. To two-loops, c(g) and c'(g) point towards the expected IR directions. As a possible physical application, I argue that a closer study of the central functions might allow us to lower the upper bound on the number of generations to the observed value. Candidate all-order expressions for the central functions are compared with the predictions of electric-magnetic duality.

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