Running coupling in SU(2) with two adjoint fermions

Preprint number: CP3-Origins-2015-40 DNRF90 and DIAS-2015-40
Authors: Jarno Rantaharju (CP3-Origins & DIAS & Wako, RIKEN), Teemu Rantalaiho (Department of Physics University of Helsinki & Helsinki Institute of Physics), Kari Rummukainen (Department of Physics University of Helsinki & Helsinki Institute of Physics), and Kimmo Tuominen (Department of Physics University of Helsinki & Helsinki Institute of Physics)
External link: arXiv.org

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We study SU(2) gauge theory with two Dirac fermions in the adjoint representation of the gauge group on the lattice. Using clover improved Wilson fermion action with hypercubic truncated stout smearing we perform simulations at larger coupling than earlier. We measure the evolution of the coupling constant using the Schrödinger functional method. Extrapolating our lattice results to the continuum, we confirm the existence of a fixed point in the interval 2.2 <∼ g∗2 <∼ 3. We also measure the anomalous dimension and find its value at the fixed point is 0.18 <∼ γ∗ <∼ 0.23.