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

Shigefumi Naka; Shinji Abe; Eizou Umezawa; Tetsu Matsufuji

doi:10.1143/PTP.103.411

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

Shigefumi Naka, Shinji Abe, Eizou Umezawa, Tetsu Matsufuji

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	411-423
Number of pages	13
Journal	Progress of Theoretical Physics
Volume	103
Issue number	2
DOIs	https://doi.org/10.1143/PTP.103.411
Publication status	Published - 02-2000
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

Access to Document

10.1143/PTP.103.411

Cite this

@article{4c36ea9c2b0d45a298b8434bae4da406,

title = "Bi-local Higgs-like fields based on non-commutative geometry",

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.",

author = "Shigefumi Naka and Shinji Abe and Eizou Umezawa and Tetsu Matsufuji",

year = "2000",

month = feb,

doi = "10.1143/PTP.103.411",

language = "English",

volume = "103",

pages = "411--423",

journal = "Progress of Theoretical Physics",

issn = "0033-068X",

publisher = "Yukawa Institute for Theoretical Physics",

number = "2",

}

TY - JOUR

T1 - Bi-local Higgs-like fields based on non-commutative geometry

AU - Naka, Shigefumi

AU - Abe, Shinji

AU - Umezawa, Eizou

AU - Matsufuji, Tetsu

PY - 2000/2

Y1 - 2000/2

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0034134556

UR - https://www.scopus.com/inward/citedby.url?scp=0034134556&partnerID=8YFLogxK

U2 - 10.1143/PTP.103.411

DO - 10.1143/PTP.103.411

M3 - Article

AN - SCOPUS:0034134556

SN - 0033-068X

VL - 103

SP - 411

EP - 423

JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

IS - 2

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this