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)
TL;DR
This study investigates the running of the coupling constant in SU(2) lattice gauge theory with two adjoint fermions, providing evidence for an infrared fixed point and conformal behavior using the Schroedinger functional method.
Contribution
It presents the first lattice measurement of the continuum beta-function for SU(2) with two adjoint fermions, revealing an infrared fixed point and conformality.
Findings
Evidence for an infrared fixed point in the coupling constant.
The continuum beta-function indicates conformal behavior.
The coupling constant's evolution matches theoretical predictions.
Abstract
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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