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The SU(N) running coupling in the twisted gradient flow scheme and\n volume independence

2021/11/25 by Jorge Luis Dasilva Golán, Golan, Jorge Luis Dasilva, Margarita Garcı́a Pérez +3
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2111.13092

openalex publication_date 2021/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We report on an ongoing study of the running coupling of SU(N) pure\nYang-Mills theory in the twisted gradient flow scheme (TGF). The study exploits\nthe idea that twisted boundary conditions reduce finite volume effects, leading\nto an effective size in the twisted plane that combines the number of colours\nand the torus period. We test this hypothesis by computing the TGF running\ncoupling and the SU(N) \Λ- parameter on asymmetric lattices of size\n(NL)2L2 for various gauge groups. Finite volume effects are monitored by\nanalyzing the coupling in different planes and by comparing results at\ndifferent number of colours.\n

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