Understanding finite-volume effects in deformed CFTs on the lattice

Preprint number: CP3-Origins-2013-10 DNRF90 and DIAS-2013-10
Authors: Luigi Del Debbio (The University of Edinburgh), Biagio Lucini (Swansea university), Agostino Patella (University of Plymouth & CERN), Claudio Pica (CP3-Origins & DIAS), and Antonio Rago (University of Plymouth)
External link: www.worldscientific.com

Four-dimensional gauge theories with sufficiently many fermion flavors can provide explicit examples of theories with an infra-red fixed point (IRFP). In recent years the existence of IRFPs has been the subject of intense scrutiny using numerical simulations of gauge theories defined on a lattice. Being able to disentangle the signatures of the fixed point from lattice artefacts is the main challenge in order to reach robust conclusions. In this work, we discuss preliminary results on the finite volume effects for the SU(2) gauge theories with two fermions in the adjoint representation.