Chiral phase structure of QCD with many flavors

Details Chiral phase structure of QCD with many flavors Chiral phase structure of QCD with many flavors

2005-07-14

arxiv.org/abs/hep-ph/0507171v2

Eur.Phys.J.C46:433-438,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 3 figures, updated discussion of the uncertainties in the gauge sector

Scientific paper

10.1140/epjc/s2006-02475-0

We investigate QCD with a large number of massless flavors with the aid of renormalization group flow equations. We determine the critical number of flavors separating the phases with and without chiral symmetry breaking in SU(Nc) gauge theory with many fermion flavors. Our analysis includes all possible fermionic interaction channels in the pointlike four-fermion limit. Constraints from gauge invariance are resolved explicitly and regulator-scheme dependencies are studied. Our findings confirm the existence of an Nf window where the system is asymptotically free in the ultraviolet, but remains massless and chirally invariant on all scales, approaching a conformal fixed point in the infrared. Our prediction for the critical number of flavors of the zero-temperature chiral phase transition in SU(3) is Nf^{cr}=10.0\pm 0.29(fermion)[+1.55;-0.63](gluon), with the errors arising from approximations in the fermionic and gluonic sectors, respectively.

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