English

Trace anomaly and dynamical quark mass

High Energy Physics - Lattice 2020-03-31 v1 High Energy Physics - Phenomenology

Abstract

We investigated the origin of the RI'/MOM quark mass under the Landau gauge at the non-perturbative scale, using the chiral fermion with different quark masses and lattice spacings. Our result confirms that such a mass is non-vanishing based on the linear extrapolation to the chiral and continuum limit, and shows that such a mass comes from the spontaneous chiral symmetry breaking induced by the near zero modes with the eigenvalue λ<O(5mq)\lambda<{\cal O}(5m_q), and is proportional to the quark matrix element of the trace anomaly at least down to \sim 1.3 GeV.

Keywords

Cite

@article{arxiv.2003.12914,
  title  = {Trace anomaly and dynamical quark mass},
  author = {Yi-Bo Yang and Jian Liang and Zhaofeng Liu and Peng Sun},
  journal= {arXiv preprint arXiv:2003.12914},
  year   = {2020}
}

Comments

7 pages, 5 figures; for the 37th International Symposium on Lattice Field Theory (Lattice2019), 16-22 June 2019, Wuhan, China

R2 v1 2026-06-23T14:30:33.987Z