Systematic errors of the MCRG method

Simon M Catterall, Luigi Del Debbio, Joel Giedt, Liam Keegan

Research output: Contribution to journalConference article

3 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
JournalProceedings of Science
Volume139
StatePublished - Jan 1 2011
Event29th International Symposium on Lattice Field Theory, Lattice 2011 - Squaw Valley, Lake Tahoe, United States
Duration: Jul 10 2011Jul 16 2011

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renormalization group methods
systematic errors
gauge theory
fermions

ASJC Scopus subject areas

  • General

Cite this

Catterall, S. M., Debbio, L. D., Giedt, J., & Keegan, L. (2011). Systematic errors of the MCRG method. Proceedings of Science, 139.

Systematic errors of the MCRG method. / Catterall, Simon M; Debbio, Luigi Del; Giedt, Joel; Keegan, Liam.

In: Proceedings of Science, Vol. 139, 01.01.2011.

Research output: Contribution to journalConference article

Catterall, SM, Debbio, LD, Giedt, J & Keegan, L 2011, 'Systematic errors of the MCRG method', Proceedings of Science, vol. 139.
Catterall SM, Debbio LD, Giedt J, Keegan L. Systematic errors of the MCRG method. Proceedings of Science. 2011 Jan 1;139.
Catterall, Simon M ; Debbio, Luigi Del ; Giedt, Joel ; Keegan, Liam. / Systematic errors of the MCRG method. In: Proceedings of Science. 2011 ; Vol. 139.
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