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

Abstract

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.

15 pages, 13 figures; v3 The discussion of the method has been extended, with an appendix and 2 new figures. Final version

References in corpus (13)

• Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions
• Zero of the discrete beta function in SU(3) lattice gauge theory with color sextet fermions
• The physics of eight flavours
• Phase structure of SU(3) gauge theory with two flavors of symmetric-representation fermions
• Infrared fixed point in SU(2) gauge theory with adjoint fermions
• Finite size phase transitions in QCD with adjoint fermions
• Mass anomalous dimension in SU(2) with six fundamental fermions
• Running coupling constant of ten-flavor QCD with the Schrödinger functional method
• The bulk transition of QCD with twelve flavors and the role of improvement
• Improvement via hypercubic smearing in triplet and sextet QCD
• Lattice Monte-Carlo study of pre-conformal dynamics in strongly flavoured QCD in the light of the chiral phase transition at finite temperature
• Monopole condensation in two-flavour Adjoint QCD
• Lattice study on two-color QCD with six flavors of dynamical quarks

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