Finite size scaling and the effect of the gauge coupling in 12 flavor systems



Hasenfratz, Anna, Cheng, Anqi, Petropoulos, Gregory and Schaich, David
(2013) Finite size scaling and the effect of the gauge coupling in 12 flavor systems. In: 31st International Symposium on Lattice Field Theory LATTICE 2013, 2013-7-29 - ?.

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Abstract

Finite size scaling is a powerful tool to study the critical properties of systems governed by one relevant operator, assuming all irrelevant operators have scaling dimensions much smaller then zero. This condition is likely not satisfied in many-fermion conformal systems where perturbation theory predicts a nearly-marginal irrelevant gauge coupling. In this work we carry out a new investigation of SU(3) lattice gauge theory with 12 fundamental flavors. Analyzing data at many different gauge couplings, our preliminary results indicate that a finite size scaling analysis that takes into account the effect of a nearly-marginal gauge coupling can resolve many of the inconsistencies observed previously in this system, leading to results consistent with conformal infrared dynamics and predicting a mass scaling anomalous around $\gamma_m=0.25$.

Item Type: Conference or Workshop Item (Unspecified)
Additional Information: Contribution to 31st International Symposium on Lattice Field Theory - LATTICE 2013
Uncontrolled Keywords: hep-lat, hep-lat, hep-ph
Depositing User: Symplectic Admin
Date Deposited: 13 Mar 2020 14:33
Last Modified: 18 Jan 2023 23:57
DOI: 10.22323/1.187.0075
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3078900