Home >

news Help

Publication Information


Title
Japanese:The role of the UA(1) breaking term in dynamical chiral symmetry breaking of chiral effective theories 
English:The role of the UA(1) breaking term in dynamical chiral symmetry breaking of chiral effective theories 
Author
Japanese: 慈道大介.  
English: Daisuke Jido.  
Language English 
Journal/Book name
Japanese:Progress of Theoretical and Experimental Physics 
English:Progress of Theoretical and Experimental Physics 
Volume, Number, Page Vol. 2021    No. 9   
Published date Sept. 7, 2021 
Publisher
Japanese: 
English: 
Conference name
Japanese: 
English: 
Conference site
Japanese: 
English: 
Official URL http://dx.doi.org/10.1093/ptep/ptab084
 
DOI https://doi.org/10.1093/ptep/ptab084
Abstract <jats:title>Abstract</jats:title> <jats:p>The spontaneous breaking of chiral symmetry is examined by chiral effective theories, such as the linear $\sigma$ model and the Nambu–Jona-Lasinio (NJL) model. We discuss the properties of the sigma meson regarded as the quantum fluctuation of the chiral condensate when the chiral symmetry is spontaneously broken, mainly by the U$_{A}$(1) anomaly. We derive a mass relation among the SU(3) flavor singlet mesons, $\eta_{0}$ and $\sigma_{0}$, in the linear $\sigma$ model to be satisfied for the anomaly-driven symmetry breaking in the chiral limit, and find that it is also supported in the NJL model. With the explicit breaking of chiral symmetry, we show that both of the chiral effective models reproducing the observed physical quantities suggest that the $\sigma_{0}$ meson should have a mass smaller than $\sim$800 MeV when anomaly-driven symmetry breaking takes place.</jats:p>

©2007 Tokyo Institute of Technology All rights reserved.