Systematic errors of the MCRG method

Simon Catterall; Luigi Del Debbio; Joel Giedt; Liam Keegan

Systematic errors of the MCRG method

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

Department of Physics

Research output: Contribution to journal › Conference article › peer-review

3 Scopus citations

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 language	English (US)
Journal	Proceedings of Science
Volume	139
State	Published - Jan 1 2011
Event	29th International Symposium on Lattice Field Theory, Lattice 2011 - Squaw Valley, Lake Tahoe, United States Duration: Jul 10 2011 → Jul 16 2011

ASJC Scopus subject areas

General

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title = "Systematic errors of the MCRG method",

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.",

author = "Simon Catterall and Debbio, {Luigi Del} and Joel Giedt and Liam Keegan",

year = "2011",

month = jan,

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language = "English (US)",

volume = "139",

journal = "Proceedings of Science",

issn = "1824-8039",

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note = "29th International Symposium on Lattice Field Theory, Lattice 2011 ; Conference date: 10-07-2011 Through 16-07-2011",

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TY - JOUR

T1 - Systematic errors of the MCRG method

AU - Catterall, Simon

AU - Debbio, Luigi Del

AU - Giedt, Joel

AU - Keegan, Liam

PY - 2011/1/1

Y1 - 2011/1/1

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 -