Near the sill of the conformal window: gauge theories with fermions in two-index representations

Benjamin Svetitsky (Tel Aviv University); Thomas DeGrand (University of Colorado); Yigal Shamir

arxiv: 1307.2425 · v3 · pith:IDPXA32Mnew · submitted 2013-07-09 · ✦ hep-lat

Near the sill of the conformal window: gauge theories with fermions in two-index representations

Thomas DeGrand (University of Colorado) , Yigal Shamir , Benjamin Svetitsky (Tel Aviv University) This is my paper

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keywords fermionstheorytheoriestwo-indexrepresentationbetaconformalfind

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We apply Schroedinger functional methods to two gauge theories with fermions in two-index representations: the SU(3) theory with Nf=2 adjoint fermions, and the SU(4) theory with Nf=6 fermions in the two-index antisymmetric representation. Each theory is believed to lie near the bottom of the conformal window for its respective representation. In the SU(3) theory we find a small beta function in strong coupling but we cannot confirm or rule out an infrared fixed point. In the SU(4) theory we find a hint of walking - a beta function that approaches the axis and then turns away from it. In both theories the mass anomalous dimension remains small even at the strongest couplings, much like the theories with fermions in the two-index symmetric representation investigated earlier.

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SU(2) gauge theory with one and two adjoint fermions towards the continuum limit
hep-lat 2024-07 unverdicted novelty 5.0

Extended lattice simulations yield continuum-limit anomalous dimensions γ* = 0.170(6) for Nf=1 and γ* = 0.291(9) for Nf=2 adjoint SU(2), with chiral perturbation theory ruling out spontaneous chiral symmetry breaking.