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Bi-Local Higgs-Like Fields Based on Non-Commutative Geometry

Shigefumi Naka·Shinji Abe·Eizou Umezawa·Tetsu Matsufuji
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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.

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Shigefumi Naka, Shinji Abe, Eizou Umezawa, Tetsu Matsufuji. 2000-02-10. Bi-Local Higgs-Like Fields Based on Non-Commutative Geometry. https://doi.org/10.1143/ptp.103.411

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