Mass Splitting in a Linear Sigma Model

Diego de Floor; Erik Gustafson; Yannick Meurice

Mass Splitting in a Linear Sigma Model

High Energy Physics - Lattice 2018-11-01 v1 High Energy Physics - Phenomenology High Energy Physics - Theory

Authors: Diego de Floor , Erik Gustafson , Yannick Meurice

Abstract

We derived the tree level spectrum to an extension to the linear sigma model describing an EFT for an $SU(3)_c$ gauge theory with $N_f$ flavors of fermions and $N_1$ fermions have a mass $m_l$ and $N_2$ fermions have a mass $m_h$ . We examined the effects of a small mass splitting on single mass data for 8 and 12 flavors of fermions corresponding to the unperturbed case. Our intention is to encourage more simulations of split mass theories with 8, 10 and 12 flavors of fermions.

Keywords

gauge theories and chiral symmetry flavor symmetry fermion field theory and gross-neveu model

Cite

@article{arxiv.1810.13413,
  title  = {Mass Splitting in a Linear Sigma Model},
  author = {Diego de Floor and Erik Gustafson and Yannick Meurice},
  journal= {arXiv preprint arXiv:1810.13413},
  year   = {2018}
}

Comments

5 pages, 3 figures, Proceedings of The 36th Annual International Symposium on Lattice Field Theory - LATTICE2018 22-28 July, 2018

Mass Splitting in a Linear Sigma Model

Abstract

Keywords

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