English

SU(2) gauge theory with $N_f=24$ quarks at non-zero mass

High Energy Physics - Lattice 2022-09-02 v1

Abstract

We study SU(2) gauge field theory with Nf=24N_f=24 quarks. The theory is asymptotically non-free and, at vanishing quark mass, governed by a Gaussian fixed point at long distances. On the other hand, at non-zero quark mass the quarks are expected to decouple at long distances and the system behaves like confining pure gauge SU(2) theory. We study the mass spectrum of the theory as the quark mass is varied and obtain scaling laws for meson masses and string tension. We also measure the evolution of the coupling constant at non-zero quark mass with gradient flow method. We observe unambiguously the decoupling of the quarks with the associated change of evolution of the coupling constant.

Keywords

Cite

@article{arxiv.2111.01618,
  title  = {SU(2) gauge theory with $N_f=24$ quarks at non-zero mass},
  author = {Jarno Rantaharju and Tobias Rindlisbacher and Kari Rummukainen and Ahmed Salami and Kimmo Tuominen},
  journal= {arXiv preprint arXiv:2111.01618},
  year   = {2022}
}

Comments

9 pages, 4 figures, contribution to the 38th International Symposium on Lattice Field Theory, LATTICE2021 26th-30th July, 2021, Zoom/Gather@Massachusetts Institute of Technology