Lattice study of conformal behavior in SU(3) Yang-Mills theories

By T. Appelquist, G. Fleming, E. Neil. 2009

165 citations recorded by the source corpus.

Using lattice simulations, we study the extent of the conformal window for an SU(3) gauge theory with N{sub 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{sub f}=12, governed by an infrared fixed point, whereas the N{sub f}=8 theory exhibits confinement and chiral symmetry breaking. We therefore conclude that the low end of the conformal window N{sub f}{sup c} lies in the range 8{<=}N{sub f}{sup c}{<=}12. We discuss open questions and the potential relevance of the present work to physics beyond the standard model.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/66bfd3ddfe62261dd2878211ce2af9168783e34e

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In Nuclear and High Energy Physics

Citations in the corpus

Hyperscaling relations in mass-deformed conformal gauge theories (2010, background): “This opens the possibility to obtain first principles results for technicolor, and several preliminary investigations have appeared [27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 13, 41, 42, 43, 44, 45].”
Fundamental composite dynamics: A review (2020, background): “The n f = 12 case has been studied extensively by several groups by a variety of different methods [327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 326].”
Minimal conformal technicolor and precision electroweak tests (2010, background): “There is a growing body of lattice evidence for the existence of such a fixed point in SU(3) gauge theory near 12 flavors, although important disagreements between different groups remain [24–31].”