Bi-local Higgs-like fields based on non-commutative geometry

Citation
S. Naka et al., Bi-local Higgs-like fields based on non-commutative geometry, PROG T PHYS, 103(2), 2000, pp. 411-423
Citations number
28
Categorie Soggetti
Physics
Journal title
PROGRESS OF THEORETICAL PHYSICS
ISSN journal
0033068X → ACNP
Volume
103
Issue
2
Year of publication
2000
Pages
411 - 423
Database
ISI
SICI code
0033-068X(200002)103:2<411:BHFBON>2.0.ZU;2-1
Abstract
The bi-local model of hadrons is studied from the viewpoint;of non-commutat ive geometry formulated so that Higgs-like scalar fields play the role of a bridge, the bi-local fields, connecting different spacetime points. We sho w that the resultant action for Higgs-like scalar fields has a structure si milar to that of the linear sigma model. According to this formalism, we ca n deduce the dual nature of meson fields as the Nambu-Goldstone bosons asso ciated with chiral symmetry breaking and bound states of quarks.