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

Bergner, Georg and Giudice, Pietro and Muenster, Gernot and Scior, Philipp and Montvay, Istvan and Piemonte, Stefano (2018) Low energy properties of SU (2) gauge theory with N-f=3/2 flavours of adjoint fermions. JOURNAL OF HIGH ENERGY PHYSICS (1): 119. ISSN 1029-8479,

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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* 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* approximate to 0.38(2).

Item Type: Article
Uncontrolled Keywords: ; Lattice Quantum Field Theory; Renormalization Group
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Gunnar Bali
Depositing User: Dr. Gernot Deinzer
Date Deposited: 24 Mar 2020 08:14
Last Modified: 24 Mar 2020 08:14
URI: https://pred.uni-regensburg.de/id/eprint/15181

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