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arXiv:0910.2562·v1·High Energy Physics — Phenomenology

Running of the coupling and quark mass in SU(2) with two adjoint fermions

Francis Bursa🇬🇧 · Luigi Del Debbio🇬🇧 · Liam Keegan🇬🇧 · Claudio Pica🇬🇧 · Thomas Pickup🇬🇧

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Abstract

We simulate SU(2) gauge theory with two massless Dirac fermions in the adjoint representation. We calculate the running of the Schroedinger Functional coupling and the renormalised quark mass over a wide range of length scales. The running of the coupling is consistent with the existence of an infrared fixed point (IRFP), and we find 0.07 < gamma < 0.56 at the IRFP, depending on the value of the critical coupling.

Comments: Talk presented at the XXVII International Symposium on Lattice Field Theory, July 26-31, 2009, Peking University, Beijing, China; 7 pages, 4 figures

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