Conformal window and Landau singularities | Zendy

G. Grunberg | Zendy

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Conformal window and Landau singularities

Author(s) -

G. Grunberg

Publication year - 2001

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2001/08/019

Subject(s) - physics , quantum chromodynamics , infrared fixed point , renormalon , gravitational singularity , mathematical physics , supersymmetry , conformal map , fixed point , operator product expansion , quantum electrodynamics , renormalization group , particle physics , quantum mechanics , mathematical analysis , mathematics

A physical characterization of Landau singularities is emphasized, whichshould trace the lower boundary N_f^* of the conformal window in QCD andsupersymmetric QCD. A natural way to disentangle ``perturbative'' from ``non-perturbative'' contributions below N_f^* is suggested. Assuming aninfrared fixed point is present in the perturbative part of the QCD couplingeven in some range below N_f^* leads to the condition gamma(N_f^*)=1, wheregamma is the critical exponent. This result is incompatible with the existenceof an analogue of Seiberg free dual magnetic phase in QCD. Using the Banks-Zaksexpansion, one gets 4

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