Lattice Study of Conformal Behavior in SU(3) Yang-Mills Theories

Abstract

Using lattice simulations, we study the extent of the conformal window for an SU(3) gauge theory with N_f Dirac fermions in the fundamental representation. We extend our recently reported work, describing the general framework and the lattice simulations in more detail. We find that the theory is conformal in the infrared for N_f = 12, governed by an infrared fixed point, whereas the N_f = 8 theory exhibits confinement and chiral symmetry breaking. We therefore conclude that the low end of the conformal window N_f^c lies in the range 8 <= N_f^c <= 12. We discuss open questions and the potential relevance of the present work to physics beyond the standard model.

37 pages, 7 figures. v2: assorted minor updates and corrections

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• Unparticle Physics
• Lattice Study of the Conformal Window in QCD-like Theories
• Minimal Walking on the Lattice
• Zero of the discrete beta function in SU(3) lattice gauge theory with color sextet fermions
• Phase diagram of SU(2) with 2 flavors of dynamical adjoint quarks
• The physics of eight flavours
• 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

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