Conformal window and Landau singularities

Details Conformal window and Landau singularities Conformal window and Landau singularities

2001-04-10

arxiv.org/abs/hep-ph/0104098v2

JHEP 0108 (2001) 019

Physics

High Energy Physics

High Energy Physics - Phenomenology

35 pages, 1 figure, JHEP style. A new section added to point out the results give some justification to the infrared finite co

Scientific paper

10.1088/1126-6708/2001/08/019

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 below N_f^* is suggested. Assuming an infrared fixed point is present in the perturbative part of the QCD coupling even in some range below N_f^* leads to the condition gamma(N_f^*)=1, where gamma is the critical exponent. This result is incompatible with the existence of an analogue of Seiberg free dual magnetic phase in QCD. Using the Banks-Zaks expansion, one gets 4

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