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Fixed point merger in the SU(N) gauge beta functions

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arxiv 1104.3606 v1 pith:FSUCS4VS submitted 2011-04-19 hep-ph

Yuki Kusafuka , Haruhiko Terao This is my paper · ORCID
classification hep-ph
keywords betafixedgaugefunctionsconformalgroupobtainedpoint
verification ladder T0 review T1 audit T2 compute T3 formal
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We discuss qualitative behavior of the SU(N) gauge beta functions in QCD with many massless flavors. Non-perturbative beta functions can be obtained by extracting the renormalized trajectories in the exact renormalization group framework. We examine the renormalization group equations for the general four-fermi couplings as well as the gauge coupling obtained in a simple approximation scheme. It is shown that the gauge beta function possesses not only an IR but also a UV fixed point in the conformal window. These fixed points merge with each other and disappear at the edge of the conformal window. The scaling dimensions of the quark mass operator at the fixed points are also shown.

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  1. Gauge-Fermion Cartography: from confinement and chiral symmetry breaking to conformality

    hep-th 2024-12 conditional novelty 7.0 of 10

    A non-perturbative fRG calculation charts confinement and chiral symmetry breaking across flavour number and predicts the conformal window boundary at Nf = 9.60 for Nc = 3.

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