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

Shigefumi Naka, Shinji Abe, Eizou Umezawa, Tetsu Matsufuji

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)411-423
Number of pages13
JournalProgress of Theoretical Physics
Issue number2
Publication statusPublished - 02-2000
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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