TY - JOUR

T1 - Nearly conformal gauge theories in finite volume

AU - Fodor, Zoltan

AU - Holland, Kieran

AU - Kuti, Julius

AU - Nógrádi, Dániel

AU - Schroeder, Chris

N1 - Funding Information:
We are thankful to Claude Bernard and Steve Sharpe for help with staggered perturbation theory and to Ferenc Niedermayer for discussions on rotator dynamics. We also wish to thank Urs Heller for the use of his code to calculate Wilson loops in lattice perturbation theory, and Paul Mackenzie for related discussions. We are grateful to Sandor Katz and Kalman Szabo for helping us in using the Wuppertal RHMC code. In some calculations we use the publicly available MILC code, and the simulations were performed on computing clusters at Fermilab, under the auspices of USQCD and SciDAC, on the Ranger cluster of the Teragrid organization, and on the Wuppertal GPU cluster. This work is supported by the NSF under grant 0704171 , by the DOE under grants DOE-FG03-97ER40546 , DOE-FG-02-97ER25308 , by the DFG under grant FO 502/1 and by SFB-TR/55.

PY - 2009/11/9

Y1 - 2009/11/9

N2 - 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.

AB - 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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U2 - 10.1016/j.physletb.2009.10.040

DO - 10.1016/j.physletb.2009.10.040

M3 - Article

AN - SCOPUS:73349107370

SN - 0370-2693

VL - 681

SP - 353

EP - 361

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 4

ER -