Bi-Local Higgs-Like Fields Based on Non-Commutative Geometry
High Energy Physics - Theory
2009-10-31 v3
Abstract
The bi-local model of hadrons is studied from the viewpoint of non-commutative geometry formulated so that Higgs-like scalar fields play the role of a bridge, the bi-local fields, connecting different spacetime points. We show that the resultant action for Higgs-like scalar fields has a structure similar to that of the linear sigma model. According to this formalism, we can deduce the dual nature of meson fields as the Nambu-Goldstone bosons associated with chiral symmetry breaking and bound states of quarks.
Keywords
Cite
@article{arxiv.hep-th/9910005,
title = {Bi-Local Higgs-Like Fields Based on Non-Commutative Geometry},
author = {Shigefumi Naka and Shinji Abe and Eizou Umezawa and Tetsu Matsufuji},
journal= {arXiv preprint arXiv:hep-th/9910005},
year = {2009}
}
Comments
15 pages, Latex file,4 eps figures, minor changes