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Title: 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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at https://doi.org/10.1103/PhysRevD.98.094509

Citation Metrics:
Cited by: 2 works
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