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
TL;DR
This study investigates the scale-dependent behavior of the coupling and quark mass in an SU(2) gauge theory with two adjoint fermions, providing evidence for an infrared fixed point and estimating the mass anomalous dimension.
Contribution
It presents the first nonperturbative calculation of the running coupling and quark mass in SU(2) with two adjoint fermions, indicating the presence of an IR fixed point.
Findings
The running coupling is consistent with an IR fixed point.
The mass anomalous dimension gamma ranges from 0.07 to 0.56.
Results support conformal behavior in this gauge theory.
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.
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