Evolution of the coupling constant in SU(2) lattice gauge theory with two adjoint fermions

(2) University of Helsinki; (3) University of Jyvaskyla); Ari J. Hietanen (1); Kari Rummukainen (2); Kimmo Tuominen (3) ((1) Florida International University; University of Oulu

Evolution of the coupling constant in SU(2) lattice gauge theory with two adjoint fermions

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arxiv 0904.0864 v2 pith:A6GVKFP7 submitted 2009-04-06 hep-lat

Evolution of the coupling constant in SU(2) lattice gauge theory with two adjoint fermions

Ari J. Hietanen (1) , Kari Rummukainen (2) , Kimmo Tuominen (3) ((1) Florida International University , (2) University of Helsinki , University of Oulu , (3) University of Jyvaskyla) This is my paper

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We measure the evolution of the coupling constant using the Schroedinger functional method in the lattice formulation of SU(2) gauge theory with two massless Dirac fermions in the adjoint representation. We observe strong evidence for an infrared fixed point, where the theory becomes conformal. We measure the continuum beta-function and the coupling constant as a function of the energy scale.

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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.