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 |
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ASJC Scopus subject areas
- General
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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 journal › Conference article
}
TY - JOUR
T1 - Systematic errors of the MCRG method
AU - Catterall, Simon M
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.
UR - http://www.scopus.com/inward/record.url?scp=85030084196&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85030084196&partnerID=8YFLogxK
M3 - Conference article
AN - SCOPUS:85030084196
VL - 139
JO - Proceedings of Science
JF - Proceedings of Science
SN - 1824-8039
ER -