Low energy properties of SU(2) gauge theory with Nf = 3/2 flavours of adjoint fermions

• Published in: The journal of high energy physics Vol. 2018; no. 1; pp. 1 - 15
• Main Authors: Bergner, Georg, Giudice, Pietro, Münster, Gernot, Scior, Philipp, Montvay, Istvan, Piemonte, Stefano
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2018; Springer Nature B.V; SpringerOpen
• Subjects: Classical and Quantum Gravitation; Couplings; Elementary Particles; Fermions; Flavor (particle physics); Gauge theory; High energy physics; Lattice Quantum Field Theory; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Renormalization Group; Scaling; String Theory; Lattice Quantum Field Theory; Renormalization Group
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP01(2018)119

A bstract In this work we present the results of a numerical investigation of SU(2) gauge theory with N f = 3 / 2 flavours of fermions, corresponding to 3 Majorana fermions, which transform in the adjoint representation of the gauge group. At two values of the gauge coupling, the masses of bound states are considered as a function of the fundamental fermion mass, represented by the PCAC quark mass. The scaling of bound states masses indicates an infrared conformal behaviour of the theory. We obtain estimates for the fixed-point value of the mass anomalous dimension γ ∗ from the scaling of masses and from the scaling of the mode number of the Wilson-Dirac operator. The difference of the estimates at the two gauge couplings should be due to scaling violations and lattice spacing effects. The more reliable estimate at the smaller gauge coupling is γ ∗ ≈ 0 . 38(2).