Nonminimal gradient flows in QCD-like theories

Journal of High Energy Physics

Marco Boers¹ 

[1] Van Swinderen Institute for Particle Physics and Gravity, University of Groningen;

关键词: Lattice QCD;    Perturbative QCD;    Renormalization Group;   

DOI  :  10.1007/JHEP01(2021)204

来源: DOAJ

【 摘 要 】

Abstract The Yang-Mills gradient flow for QCD-like theories is generalized by including a fermionic matter term in the gauge field flow equation. We combine this with two different flow equations for the fermionic degrees of freedom. The solutions for the different gradient flow setups are used in the perturbative computations of the vacuum expectation value of the Yang-Mills Lagrangian density and the field renormalization factor of the evolved fermions up to next-to-leading order in the coupling. We find a one-parameter family of flow systems for which there exists a renormalization scheme in which the evolved fermion anomalous dimension vanishes to all orders in perturbation theory. The fermion number dependence of different flows is studied and applications to lattice studies are anticipated.

【 授权许可】

Unknown