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- W2090400192 abstract "We calculate light-quark mass differences in the framework of the Laplace-transform QCD sum rules using an improved parametrization of the hadronic spectral functions. Our results are (m${ifmmodebarelsetextasciimacronfi{}}_{s}$-m${ifmmodebarelsetextasciimacronfi{}}_{u}$)${ensuremath{Vert}}_{1}$ GeV=185ifmmodepmelsetextpmfi{}15 MeV and (m${ifmmodebarelsetextasciimacronfi{}}_{d}$-m${ifmmodebarelsetextasciimacronfi{}}_{u}$)${ensuremath{Vert}}_{1}$ GeV=4ifmmodepmelsetextpmfi{}1 MeV. Using an earlier determination of the quark-mass sums based on similar techniques, these results lead to: m${ifmmodebarelsetextasciimacronfi{}}_{u}$(1 GeV)=6ifmmodepmelsetextpmfi{}1 MeV, m${ifmmodebarelsetextasciimacronfi{}}_{d}$(1 GeV)=10ifmmodepmelsetextpmfi{}1 MeV, and m${ifmmodebarelsetextasciimacronfi{}}_{s}$(1 GeV)=192ifmmodepmelsetextpmfi{}15 MeV. Next, we estimate the difference of the light-quark vacuum condensates in the framework of the Laplace-transform QCD sum rules. Our results are ensuremath{psi}${(0)}_{u}^{s}$=-(0--3.5)ifmmodetimeselsetexttimesfi{}${10}^{mathrm{ensuremath{-}}4}$ ${mathrm{GeV}}^{4}$ and ensuremath{psi}${(0)}_{u}^{d}$=-(0--2.4)ifmmodetimeselsetexttimesfi{}${10}^{mathrm{ensuremath{-}}7}$ ${mathrm{GeV}}^{4}$, where ensuremath{psi}${(0)}_{i}^{j}$ are the renormalization-group-invariant quantities ensuremath{psi}${(0)}_{i}^{j}$=-(m${ifmmodebarelsetextasciimacronfi{}}_{j}$-m${ifmmodebarelsetextasciimacronfi{}}_{i}$) 〈ensuremath{psi}${ifmmodebarelsetextasciimacronfi{}}_{j}$${ensuremath{psi}}_{j}$-ensuremath{psi}${ifmmodebarelsetextasciimacronfi{}}_{i}$${ensuremath{psi}}_{i}$〉. These values imply a small flavor symmetry breaking in the QCD nonperturbative vacuum, i.e., 〈sifmmodebarelsetextasciimacronfi{}s〉/〈ifmmode bar{u}else ={u}fi{}u〉=0.9ifmmodepmelsetextpmfi{}0.1 and 1-〈difmmodebarelsetextasciimacronfi{}d〉/〈ifmmode bar{u}else ={u}fi{}u〉=(0--6)ifmmodetimeselsetexttimesfi{}${10}^{mathrm{ensuremath{-}}3}$. .AE" @default.
- W2090400192 created "2016-06-24" @default.
- W2090400192 creator A5012056835 @default.
- W2090400192 creator A5019676383 @default.
- W2090400192 date "1985-06-01" @default.
- W2090400192 modified "2023-10-16" @default.
- W2090400192 title "Chiral and flavor SU(2) and SU(3) symmetry breaking in quantum chromodynamics" @default.
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- W2090400192 doi "https://doi.org/10.1103/physrevd.31.2930" @default.
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