Nearly conformal gauge theories in finite volume

Abstract

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.

9 pages and 7 figures

References in corpus (10)

• Unparticle Physics
• Zero of the discrete beta function in SU(3) lattice gauge theory with color sextet fermions
• The physics of eight flavours
• Conformal Windows of SU(N) Gauge Theories, Higher Dimensional Representations and The Size of The Unparticle World
• Phase structure of SU(3) gauge theory with two flavors of symmetric-representation fermions
• Comments on lattice gauge theories with infrared-attractive fixed points
• Higher representations on the lattice: perturbative studies
• Study of the Change from Walking to Non-Walking Behavior in a Vectorial Gauge Theory as a Function of Nf
• Topology and higher dimensional representations
• Volume scaling of Dirac eigenvalues in SU(3) lattice gauge theory with color sextet fermions