The Nakano-Nishijima-Gell-Mann Formula from Discrete Galois Fields

Nakatsugawa, Keiji; Ohaga, Motoo; Fujii, Toshiyuki et al.

Symmetry, 2020, 12(10), 1603

Permalink : https://hdl.handle.net/2115/79986

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論文情報

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アクセス権
open access
URI
https://hdl.handle.net/2115/79986
タイトル
The Nakano-Nishijima-Gell-Mann Formula from Discrete Galois Fields
著者
Nakatsugawa, Keiji ; Ohaga, Motoo ; Fujii, Toshiyuki ; Matsuyama, Toyoki ; Tanda, Satoshi
著者名
Nakatsugawa, Keiji
著者名
Ohaga, Motoo
著者名
Fujii, Toshiyuki
著者名
Matsuyama, Toyoki
e-Rad_Researcher
80217215
著者名
Tanda, Satoshi
言語
英語
キーワード
quantum theory
finite mathematics
Nakano-Nishijima-Gell-Mann formula
fractional quantum number
quark confinement
発行日
2020-10
出版者
MDPI
収録物名
Symmetry
巻(号)
12(10)
ページ
1603
抄録
The well known Nakano-Nishijima-Gell-Mann (NNG) formula relates certain quantum numbers of elementary particles to their charge number. This equation, which phenomenologically introduces the quantum numbers Iz (isospin), S (strangeness), etc., is constructed using group theory with real numbers R. But, using a discrete Galois field Fp instead of R and assuring the fundamental invariance laws such as unitarity, Lorentz invariance, and gauge invariance, we derive the NNG formula deductively from Meson (two quarks) and Baryon (three quarks) representations in a unified way. Moreover, we show that quark confinement ascribes to the inevitable fractionality caused by coprimeness between half-integer (1/2) of isospin and number of composite particles (e.g., three).
資源タイプ
学術雑誌論文
出版タイプ
Version of Record
権利情報
Creative Commons Attribution 4.0 International
関連情報 (isIdenticalTo)
出版社版DOI
https://doi.org/10.3390/sym12101603