Mass splittings in a linear sigma model for multiflavor gauge theories
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.
- Authors:
- Publication Date:
- Research Org.:
- Univ. of Iowa, Iowa City, IA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1482762
- Alternate Identifier(s):
- OSTI ID: 1611359
- Grant/Contract Number:
- SC0010113
- Resource Type:
- Journal Article: Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 9; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 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
Citation Formats
Floor, D., Gustafson, E., and Meurice, Y. Mass splittings in a linear sigma model for multiflavor gauge theories. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.98.094509.
Floor, D., Gustafson, E., & Meurice, Y. Mass splittings in a linear sigma model for multiflavor gauge theories. United States. https://doi.org/10.1103/PhysRevD.98.094509
Floor, D., Gustafson, E., and Meurice, Y. 2018.
"Mass splittings in a linear sigma model for multiflavor gauge theories". United States. https://doi.org/10.1103/PhysRevD.98.094509.
@article{osti_1482762,
title = {Mass splittings in a linear sigma model for multiflavor gauge theories},
author = {Floor, D. and Gustafson, E. and Meurice, Y.},
abstractNote = {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.},
doi = {10.1103/PhysRevD.98.094509},
url = {https://www.osti.gov/biblio/1482762},
journal = {Physical Review D},
issn = {2470-0010},
number = 9,
volume = 98,
place = {United States},
year = {Mon Nov 19 00:00:00 EST 2018},
month = {Mon Nov 19 00:00:00 EST 2018}
}
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