Mass anomalous dimension and running of the coupling in SU(2) with six fundamental fermions

Preprint number: CP3-Origins-2010-43
Authors: Francis Bursa (Jesus College, Cambridge), Luigi Del Debbio (University of Edinburgh), Liam Keegan (University of Edinburgh), Claudio Pica (CP3-Origins), and Thomas Pickup (University of Oxford)
External link: arXiv.org

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We simulate SU(2) gauge theory with six massless fundamental Dirac fermions. By using the Schrödinger Functional method we measure the running of the coupling and the fermion mass over a wide range of length scales. We observe very slow running of the coupling and construct an estimator for the fermion mass anomalous dimension giving 0.135 < γ < 1.03 in the region compatible with an IR fixed point.