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Low energy properties of SU(2) gauge theory with $\mathrm{N_{f}}$ = 3/2 flavours of adjoint fermions

Authors :
Bergner, Georg
Giudice, Pietro
Münster, Gernot
Scior, Philipp
Montvay, Istvan
Piemonte, Stefano
Publication Year :
2018
Publisher :
Deutsches Elektronen-Synchrotron, DESY, Hamburg, 2018.

Abstract

Journal of high energy physics 1801(91), 119 (2018). doi:10.1007/JHEP01(2018)119<br />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 $\gamma^{\ast} \approx 0.38(2)$.<br />Published by Springer, Berlin

Details

Language :
English
Database :
OpenAIRE
Accession number :
edsair.doi...........c6edf41721b98db7814b596d3102ad05
Full Text :
https://doi.org/10.3204/pubdb-2018-01678