Fixing the conformal window in QCD

Details Fixing the conformal window in QCD Fixing the conformal window in QCD

2000-09-22

arxiv.org/abs/hep-ph/0009272v2

Phys.Rev. D65 (2002) 021701

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 1 figure, extended version of a talk given at the QCDNET2000 meeting, Paris, September 11-14 2000; main new material

Scientific paper

10.1103/PhysRevD.65.021701

A physical characterization of Landau singularities is emphasized, which should trace the lower boundary N_f^* of the conformal window in QCD and supersymmetric QCD. A natural way to disentangle ``perturbative'' from ``non-perturbative'' contributions to amplitudes below N_f^* is suggested. Assuming an infrared fixed point persists in the perturbative part of the QCD coupling even below N_f^* leads to the condition \gamma(N_f^*)=1, where \gamma is the critical exponent. Using the Banks-Zaks expansion, one gets 4

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