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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2022, Volume 115, Issue 6, Pages 339–345
DOI: https://doi.org/10.31857/S1234567822060015
(Mi jetpl6627)
 

This article is cited in 5 scientific papers (total in 5 papers)

FIELDS, PARTICLES, AND NUCLEI

Light quark masses in the theory with the dynamical breaking of chiral symmetry

A. A. Osipov

Joint Institute for Nuclear Research, Dubna, Moscow region, 141980 Russia
References:
Abstract: Mass formulas and decay constants of pseudoscalar $\pi$ and $K$ mesons have been obtained in the theory with four-quark interactions. To calculate the quark determinant, a Volterra series, which makes it possible to take into account the inequality of the constituent quark masses $M_u\neq M_d\neq M_s$ in the expansion of the effective action in the powers of $1/M^2$, has been used for the first time. It is additionally assumed that the masses of light quarks are $m_i\sim\mathcal O(1/N_c)$. It has been shown that the theory not only reproduces known inequalities for ratios of the masses of light quarks but also allows one to calculate some parameters characterizing the degree of breaking of chiral symmetry.
Received: 31.01.2022
Revised: 15.02.2022
Accepted: 26.02.2022
English version:
Journal of Experimental and Theoretical Physics Letters, 2022, Volume 115, Issue 6, Pages 305–311
DOI: https://doi.org/10.1134/S0021364022100253
Document Type: Article
Language: Russian
Citation: A. A. Osipov, “Light quark masses in the theory with the dynamical breaking of chiral symmetry”, Pis'ma v Zh. Èksper. Teoret. Fiz., 115:6 (2022), 339–345; JETP Letters, 115:6 (2022), 305–311
Citation in format AMSBIB
\Bibitem{Osi22}
\by A.~A.~Osipov
\paper Light quark masses in the theory with the dynamical breaking of chiral symmetry
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2022
\vol 115
\issue 6
\pages 339--345
\mathnet{http://mi.mathnet.ru/jetpl6627}
\crossref{https://doi.org/10.31857/S1234567822060015}
\transl
\jour JETP Letters
\yr 2022
\vol 115
\issue 6
\pages 305--311
\crossref{https://doi.org/10.1134/S0021364022100253}
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  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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    References:29
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