Finite size scaling of conformal theories in the presence of a near-marginal operator

Cheng, Anqi, Hasenfratz, Anna, Liu, Yuzhi, Petropoulos, Gregory and Schaich, David ORCID: 0000-0002-9826-2951 (2014) Finite size scaling of conformal theories in the presence of a near-marginal operator. PHYSICAL REVIEW D, 90 (1). 014509-.

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Official URL: http://dx.doi.org/10.1103/PhysRevD.90.014509

Abstract

The slowly evolving gauge coupling of gauge-fermion systems near the conformal window makes numerical investigations of these models challenging. We consider finite size scaling and show that this often used technique leads to inconsistent results if the leading order scaling corrections are neglected. When the corrections are included the results become consistent not only between different operators but even when data obtained at different gauge couplings or with different lattice actions are combined. Our results indicate that the SU(3) 12-fermion system is conformal with mass anomalous dimension $\gamma_m=0.235(15)$.

Item Type:	Article
Additional Information:	keywords: printed, read, SU3 fund Nf12, finite size scaling
Uncontrolled Keywords:	hep-lat, hep-lat
Depositing User:	Symplectic Admin
Date Deposited:	09 Mar 2020 09:00
Last Modified:	18 Jan 2023 23:58
DOI:	10.1103/PhysRevD.90.014509
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3078197