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arxiv: 0910.4535 · v2 · submitted 2009-10-23 · ✦ hep-ph · hep-lat

Mass anomalous dimension in SU(2) with two adjoint fermions

Francis Bursa , Luigi Del Debbio , Liam Keegan , Claudio Pica , Thomas Pickup This is my paper
classification ✦ hep-ph hep-lat
keywords irfpmassrunningadjointanomalousdimensionfermionsscheme
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We study SU(2) lattice gauge theory with two flavours of Dirac fermions in the adjoint representation. We measure the running of the coupling in the Schroedinger Functional (SF) scheme and find it is consistent with existing results. We discuss how systematic errors affect the evidence for an infrared fixed point (IRFP). We present the first measurement of the running of the mass in the SF scheme. The anomalous dimension of the chiral condensate, which is relevant for phenomenological applications, can be easily extracted from the running of the mass, under the assumption that the theory has an IRFP. At the current level of accuracy, we can estimate 0.05 < gamma < 0.56 at the IRFP.

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  1. 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.