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Mass splittings in a linear sigma model for multiflavor gauge theories
Journal article   Open access   Peer reviewed

Mass splittings in a linear sigma model for multiflavor gauge theories

Diego De Floor, Erik Gustafson and Yannick Meurice
Physical review. D. Particles and fields, Vol.98(9), 094509
11/01/2018
DOI: 10.1103/PhysRevD.98.094509
url
https://doi.org/10.1103/PhysRevD.98.094509View
Published (Version of record) Open Access

Abstract

We calculate the tree-level mass spectrum for a linear sigma model describing the scalar and pseudoscalar mesons of a SU(3) local gauge theory with Dirac fermions in the fundamental representation. N1 fermions have a mass m1 and N2 a mass m2. Using recent lattice data with m1=m2 and N1+N2=8 or 12, we predict the mass splittings for m2=m1+δm. At first order in δm, an interesting inverted pattern appears in the 0++ sector, where mesons with lighter fermions are heavier. This feature could be tested in ongoing calculations provided that m1 and δm are sufficiently small. We discuss possible improvements of the approach.
Mathematical Models Fermions Gauge theory Mesons

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