More on the flavor dependence of $m_{\varrho }/f_{\pi }$

Abstract

In previous work, arXiv:1905.01909, we have calculated the $m_{\varrho }/f_{\pi }$ ratio in the chiral and continuum limit for $SU(3)$ gauge theory coupled to $N_f=2,3,4,5,6$ fermions in the fundamental representation. The main result was that this ratio displays no statistically significant $N_f$-dependence. In the present work we continue the study of the $N_f$-dependence by extending the simulations to $N_f=7,8,9,10$. Along the way we also study in detail the $N_f$-dependence of finite volume effects on low energy observables and a particular translational symmetry breaking unphysical, lattice artefact phase specific to staggered fermions.

Comments: 14 pages, 16 figures