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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao https://doi.org/10.1...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
https://doi.org/10.1103/physre...
Article . 1989 . Peer-reviewed
License: APS Licenses for Journal Article Re-use
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Instantons and chiral Lagrangian

Authors: , Choi; , Kim;

Instantons and chiral Lagrangian

Abstract

We derive the chiral Lagrangian including instanton corrections in a consistent way. $\mathrm{CP}$ violation associated with the $\ensuremath{\theta}$ term in QCD is discussed in terms of this chiral Lagrangian. A particular emphasis is given to a phenomenological determination of ${m}_{u}$ and $\ensuremath{\theta}$. It is shown that, contrary to the previous conclusion that ${m}_{u}=0.56{m}_{d}$ and $\ensuremath{\theta}=0$, all three distinct cases (i) $0.56\ensuremath{\ge}\frac{{m}_{u}}{{m}_{d}}g0$, $\ensuremath{\theta}=0$, (ii) ${m}_{u}=0$, (iii) $0.56\ensuremath{\ge}\frac{{m}_{u}}{{m}_{d}}g0$, $\ensuremath{\theta}=\ensuremath{\pi}$ are phenomenologically acceptable depending on the strength of the instanton corrections. In cases (i) and (iii), the ratio $\frac{{m}_{u}}{{m}_{d}}$ can be much smaller than the usually quoted value 0.56. As a result, the models of spontaneous $\mathrm{CP}$ violation which predict $|\ensuremath{\theta}|\ensuremath{\gg}{10}^{\ensuremath{-}9}$ can be phenomenologically viable. Also in the axion models, because of the possibility of $\frac{{m}_{u}}{{m}_{d}}$ being arbitrarily small, the cosmological upper bound on the axion decay constant can be relaxed.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Average
Top 10%
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