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Title: Mass splittings in a linear sigma model for multiflavor gauge theories

Journal Article · · Physical Review D
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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.

Research Organization:
Univ. of Iowa, Iowa City, IA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0010113
OSTI ID:
1482762
Alternate ID(s):
OSTI ID: 1611359
Journal Information:
Physical Review D, Journal Name: Physical Review D Vol. 98 Journal Issue: 9; ISSN 2470-0010
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

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Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Astronomy & Astrophysics
Physics
Color confinement
Dynamical symmetry breaking models
Extensions of Higgs sector
Lattice field theory
Spontaneous symmetry breaking