@article{d889ad47a690440f95af89db23815406,
title = "New approach to the Dirac spectral density in lattice gauge theory applications",
abstract = "We report tests and results from a new approach to the spectral density and the mode number distribution of the Dirac operator in lattice gauge theories. The algorithm generates the spectral density of the lattice Dirac operator as a continuous function over all scales of the complete eigenvalue spectrum. This is distinct from an earlier method where the integrated spectral density (mode number) was calculated efficiently for some preselected fixed range of the integration. The new algorithm allows global studies like the chiral condensate from the Dirac spectrum at any scale including the cutoff-dependent IR and UV range of the spectrum. Physics applications include the scale-dependent mass anomalous dimension, spectral representation of composite fermion operators, and the crossover transition from the e-regime of Random Matrix Theory to the p-regime in chiral perturbation theory. We present thorough tests of the algorithm in the 2-flavor sextet SU(3) gauge theory that we continue to pursue for its potential as a minimal realization of the composite Higgs scenario.",
author = "Zoltan Fodor and Kieran Holland and Julius Kuti and Santanu Mondal and Daniel Nogradi and Wong, {Chik Him}",
note = "Funding Information: We acknowledge support by the DOE under grant DE-SC0009919, by the NSF under grants 0970137 and 1318220, by the DOE ALCC award for the BG/Q Mira platform of Argonne National Laboratory, by OTKA under the grant OTKA-NF-104034, and by the Deutsche Forschungsgemeinschaft grant SFB-TR 55. Funding Information: We acknowledge support by the DOE under grant DE-SC0009919, by the NSF under grants 0970137 and 1318220, by the DOE ALCC award for the BG/Q Mira platform of Argonne National Laboratory, by OTKA under the grant OTKA-NF-104034, and by the Deutsche Forschungsge-meinschaft grant SFB-TR 55. Computational resources were provided by the Argonne Leadership Computing Facility under an ALCC award, by USQCD at Fermilab, by the University of Wupper-tal, by The Juelich Supercomputing Center on Juqueen and by the Institute for Theoretical Physics, Eotvos University. We are grateful to Szabolcs Borsanyi for his code development for the BG/Q platform. We are also grateful to Sandor Katz and Kalman Szabo for their code development for the CUDA platform [13]. KH wishes to thank the Institute for Theoretical Physics and the Albert Einstein Center for Fundamental Physics at the University of Bern for their support.; 33rd International Symposium on Lattice Field Theory, LATTICE 2015 ; Conference date: 14-07-2015 Through 18-07-2015",
year = "2015",
language = "English (US)",
volume = "14-18-July-2015",
journal = "Proceedings of Science",
issn = "1824-8039",
publisher = "Sissa Medialab Srl",
}