Nearly conformal gauge theories in finite volume

Details Nearly conformal gauge theories in finite volume Nearly conformal gauge theories in finite volume

2009-07-27

arxiv.org/abs/0907.4562v1

Phys.Lett.B681:353-361,2009

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages and 7 figures

Scientific paper

10.1016/j.physletb.2009.10.040

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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