TY - JOUR
T1 - Systematic errors of the MCRG method
AU - Catterall, Simon
AU - Debbio, Luigi Del
AU - Giedt, Joel
AU - Keegan, Liam
N1 - Publisher Copyright:
© Copyright owned by the author(s).
PY - 2011
Y1 - 2011
N2 - We present a Monte Carlo Renormalisation Group (MCRG) study of the SU(2) gauge theory with two Dirac fermions in the adjoint representation. Using the two–lattice matching technique we measure the running of the coupling and the anomalous mass dimension. We find slow running of the coupling, compatible with an infrared fixed point. Assuming this running is negligible we find a vanishing anomalous dimension, γ = −0.03(13), however without this assumption our uncertainty in the running of the coupling leads to a much larger range of allowed values, −0.6 . γ . 0.6. We discuss the systematic errors affecting the current analysis and possible improvements.
AB - We present a Monte Carlo Renormalisation Group (MCRG) study of the SU(2) gauge theory with two Dirac fermions in the adjoint representation. Using the two–lattice matching technique we measure the running of the coupling and the anomalous mass dimension. We find slow running of the coupling, compatible with an infrared fixed point. Assuming this running is negligible we find a vanishing anomalous dimension, γ = −0.03(13), however without this assumption our uncertainty in the running of the coupling leads to a much larger range of allowed values, −0.6 . γ . 0.6. We discuss the systematic errors affecting the current analysis and possible improvements.
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M3 - Conference article
AN - SCOPUS:85030084196
VL - 139
JO - Proceedings of Science
JF - Proceedings of Science
SN - 1824-8039
T2 - 29th International Symposium on Lattice Field Theory, Lattice 2011
Y2 - 10 July 2011 through 16 July 2011
ER -