Title

Systematic Errors of the MCRG Method

Author(s)/Creator(s)

Simon Catterall, Syracuse UniversityFollow
Luigi Del Debbio, Edinburgh University
Joel Giedt, Rensselaer Polytechnic Institute
Liam Keegan, Edinburgh University

Document Type

Article

Date

10-7-2011

Language

English

Disciplines

Physics

Description/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, gamma=-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 < gamma < 0.6. We discuss the systematic errors affecting the current analysis and possible improvements.

Additional Information

7 pages, 3 figures, presented at XXIX International Symposium on Lattice Field Theory, July 10-16, 2011, Squaw Valley, California, USA More information at http://arxiv.org/abs/1110.1660

Recommended Citation

Catterall, Simon; Debbio, Luigi Del; Giedt, Joel; and Keegan, Liam, "Systematic Errors of the MCRG Method" (2011). Physics - All Scholarship. 423.
https://surface.syr.edu/phy/423

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.