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

Abstract

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 ${\gamma }^{\ast }$ 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 ${\gamma }^{\ast }\approx 0.38(2)$.

arXiv comment15 pages, 9 figures

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• Bose-Fermi cancellations without supersymmetry
• Lattice simulations of a gauge theory with mixed adjoint-fundamental matter
• Chiral symmetry breaking and confinement: separating the scales
• Investigating the conformal behaviour of SU(2) with one adjoint Dirac flavor
• Exploring gauge theories with adjoint matter on the lattice
• Lattice simulations of adjoint QCD with one Dirac overlap fermion
• SU(2) gauge theory with one and two adjoint fermions towards the continuum limit
• Soft pion scattering in infrared-conformal gauge-fermion theories