Restoring rotational invariance for lattice QCD propagators

Journal of High Energy Physics

Regular Article - Theoretical Physics

F. de Soto¹ 

[1] Departamento de Sistemas Físicos, Químicos y Naturales, Universidad Pablo de Olavide, Ctra. Utrera km 1, 41013, Sevilla, Spain;

关键词: Algorithms and Theoretical Developments;    Correlation Functions;    Lattice QCD;    Lattice Quantum Field Theory;   

DOI  :  10.1007/JHEP10(2022)069

 received in 2022-04-28, accepted in 2022-09-26,  发布年份 2022

来源: Springer

【 摘 要 】

This note presents a method to reduce the discretization errors appearing when solving a Quantum Field Theory in a hypercubic lattice in both position and momentum-space. The method exploits the artifacts that break rotational symmetry to recover rotationally invariant results for two-point Green functions. We show that a combination of the results obtained in position and momentum space can be useful to signal the presence of rotationally invariant artifacts making use of their approximate Fourier transforms in the continuum. The method will be introduced using a Klein-Gordon propagator, and a direct application to gluon propagator in quenched lattice QCD will be given.

【 授权许可】

Unknown   
© The Author(s) 2022