24–26 Apr 2013
Higgs Centre for Theoretical Physics
Europe/London timezone

Anomalous dimension of the chiral condensate from the Dirac-operator spectrum

24 Apr 2013, 14:00
30m
Higgs Centre for Theoretical Physics

Higgs Centre for Theoretical Physics

School of Physics and Astronomy University of Edinburgh Edinburgh EH9 3JZ United Kingdom

Speaker

A Patella

Description

A strategy for computing the anomalous dimension of the chiral condensate at the fixed point in infrared-conformal gauge theories from lattice simulations is discussed. The method is based on the scaling of the spectral density of the Dirac operator or rather its integral, the mode number. It is relatively cheap, mainly for two reasons: (a) the mode number can be determined with quite high accuracy, and (b) the anomalous dimension of the chiral condensate is extracted from a fit of several observables on the same set of configurations (no scaling in the Lagrangian parameters is needed). As an example the anomalous dimension of the chiral condensate has been computed in the SU(2) theory with 2 Dirac fermions in the adjoint representation of the gauge group. In this particular case, the proposed strategy has proved to be very robust and effective. Old and new preliminary results will be presented.

Presentation materials