Scale-dependent mass anomalous dimension from Dirac eigenmodes

Cheng, A, Hasenfratz, A, Petropoulos, G and Schaich, D ORCID: 0000-0002-9826-2951 (2013) Scale-dependent mass anomalous dimension from Dirac eigenmodes Journal of High Energy Physics, 2013 (7). 061-. ISSN 1126-6708, 1029-8479

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Abstract

We investigate the eigenmodes of the massless Dirac operator to extract the scale-dependent fermion mass anomalous dimension γ <inf>m</inf> (μ). By combining simulations on multiple lattice volumes, and when possible several gauge couplings, we are able to measure the anomalous dimension across a wide range of energy scales. The method that we present is universal and can be applied to any lattice model of interest, including both conformal or chirally broken systems. We consider SU(3) lattice gauge theories with N <inf>f</inf> = 4, 8 and 12 light or massless fermions. The 4-flavor model behaves as expected for a QCD-like system and demonstrates that systematic effects are manageable in practical lattice calculations. Our 12-flavor results are consistent with the existence of an infrared fixed point, at which we predict the scheme-independent mass anomalous dimension γ<inf>m</inf>^*=0.32(3). For the 8-flavor model we observe a large anomalous dimension across a wide range of energy scales. Further investigation is required to determine whether N <inf>f</inf> = 8 is chirally broken and walking, or if it possesses a strongly-coupled conformal fixed point. © 2013 SISSA, Trieste, Italy.

Item Type:	Article
Additional Information:	Version to be published in JHEP
Uncontrolled Keywords:	Lattice Gauge Field Theories, Nonperturbative Effects, Technicolor and Composite Models
Depositing User:	Symplectic Admin
Date Deposited:	13 Mar 2020 14:32
Last Modified:	21 Apr 2026 20:43
DOI:	10.1007/JHEP07(2013)061
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3078903
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