2012/04/30 by Agostino Patella · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Dimension (graph theory) #Dirac operator #Geometry #Mathematical analysis #Mathematics #Observable #Operator (biology) #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scaling #hep-lat
paper · pdf · doi:10.1103/physrevd.86.025006
published as PhysRevD.86:025006,2012 · LaTeX, 16 pages, 3 PDF figures, [v3] minor cosmetic changes
openalex publication_date 2012/07/03 · arxiv created 2012/08/17 · arxiv updated 2012/08/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A strategy for computing the \ensuremathψ\ensuremathψ anomalous dimension 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 \ensuremathψ\ensuremathψ anomalous dimension 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 \ensuremathψ\ensuremathψ anomalous dimension has been computed in the SU(2) theory with 2 Dirac fermions in the adjoint representation of the gauge group and has been found to be \ensuremathγ*=0.371(20). In this particular case, the proposed strategy has proved to be very robust and effective.