Spontaneous Generation of Pseudoscalar Mass in the U(3)xU(3) Linear Sigma Model
High Energy Physics - Phenomenology
2009-10-30 v2
Abstract
A novel, nonperturbative, way to generate chiral symmetry breaking within the linear sigma model for 3 flavours is discussed. After spontaneous chiral symmetry breaking in the vacuum at the tree level the scalar nonet obtains mass, while the pseudoscalars are massless. Then, including quantum loops in a nonperturbative, self-consistent way chiral symmetry is broken by nonplanar graphs in a second step, and also the pseudoscalars become massive. By interpreting the basic symmetry to be a discrete permutation symmetry, in accord with superselection rules, no additional Goldstone bosons are expected.
Keywords
Cite
@article{arxiv.hep-ph/9712479,
title = {Spontaneous Generation of Pseudoscalar Mass in the U(3)xU(3) Linear Sigma Model},
author = {Nils A. Tornqvist},
journal= {arXiv preprint arXiv:hep-ph/9712479},
year = {2009}
}
Comments
8 pages revtex, 6 figures. Revritten paper to appear in Phys.Lett.B