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Nearly conformal gauge theories in finite volume

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arxiv 0907.4562 v1 pith:YVYJZLHA submitted 2009-07-27 hep-lat hep-ph

Nearly conformal gauge theories in finite volume

classification hep-lat hep-ph
keywords conformalgaugefinitewindowdynamicsfermionfermionsgroup
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We report new results on nearly conformal gauge theories with fermions in the fundamental representation of the SU(3) color gauge group as the number of fermion flavors is varied in the Nf = 4-16 range. To unambiguously identify the chirally broken phase below the conformal window we apply a comprehensive lattice tool set in finite volumes which includes the test of Goldstone pion dynamics, the spectrum of the fermion Dirac operator, and eigenvalue distributions of random matrix theory. We also discuss the theory inside the conformal window and present our first results on the running of the renormalized gauge coupling and the renormalization group beta function. The importance of understanding finite volume zero momentum gauge field dynamics inside the conformal window is illustrated. Staggered lattice fermions are used throughout the calculations.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The Roberge-Weiss transition as a probe for conformality in many-flavor QCD

    hep-lat 2026-04 unverdicted novelty 7.0

    For eight-flavor QCD the Roberge-Weiss transition temperature vanishes in the chiral limit, placing the theory inside the conformal window.

  2. SU(2) gauge theory with one and two adjoint fermions towards the continuum limit

    hep-lat 2024-07 unverdicted novelty 5.0

    Extended lattice simulations yield continuum-limit anomalous dimensions γ* = 0.170(6) for Nf=1 and γ* = 0.291(9) for Nf=2 adjoint SU(2), with chiral perturbation theory ruling out spontaneous chiral symmetry breaking.