Topic
Pion decay constant
About: Pion decay constant is a research topic. Over the lifetime, 527 publications have been published within this topic receiving 12260 citations.
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TL;DR: In this article, the low energy representation of several Green's functions and form factors and of the na scattering amplitude are calculated in terms of a few constants, which may be identified with the coupling constants of a unique effective low energy Lagrangian.
3,277 citations
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TL;DR: In this article, the authors improved their zero-temperature analysis by using physical quark masses and finer lattices down to a 0.1 fm (Nt = 12 and Nt = 16 at one point).
Abstract: We extend our previous study [Phys. Lett. B 643 (2006) 46] of the cross-over temperatures (Tc) of QCD. We improve our zero temperature analysis by using physical quark masses and finer lattices. In addition to the kaon decay constant used for scale setting we determine four quantities (masses of the Ω baryon, K*(892) and (1020) mesons and the pion decay constant) which are found to agree with experiment. This implies that — independently of which of these quantities is used to set the overall scale — the same results are obtained within a few percent. At finite temperature we use finer lattices down to a0.1 fm (Nt = 12 and Nt = 16 at one point). Our new results confirm completely our previous findings. We compare the results with those of the 'hotQCD' collaboration.
544 citations
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TL;DR: In this paper, the pion Bethe-Salpeter amplitude and the quark propagator in the chiral limit were derived and the axial-vector Ward-Takahashi identity was preserved.
393 citations
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TL;DR: The normalized leading asymptotic Q2 dependence of the pion form factor in quantum chromodynamics was given in this article. But this dependence was not shown for the case of the light-cone pion Bethe-Salpeter equation.
Abstract: We give the normalized leading asymptotic Q2 dependence of the pion form factor in quantum chromodynamics: Fπ(Q2)→Q2→±∞-2fπ2/bQ2ln|Q2|, where fπ is the pion decay constant and b=(11-2/3Nf)/16π2. Up to non-leading-logarithmic corrections, this is equivalent to Fπ(Q2)→Q2→±∞8παs(Q2)fπ2/(-Q2). These results are obtained by solving the light-cone pion Bethe-Salpeter equation in quantum chromodynamics to leading-logarithmic accuracy.
275 citations
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TL;DR: In this paper, the hadronic mass spectrum was evaluated by computer simulations in the approximation where closed quark loops are neglected, and an estimate of the pion decay constant was given.
Abstract: In lattice quantum chromodynamics, the hadronic mass spectrum is evaluated by computer simulations in the approximation where closed quark loops are neglected. Chiral symmetry is shown to be spontaneously broken and an estimate of the pion decay constant is given.
273 citations