Matches in SemOpenAlex for { <https://semopenalex.org/work/W1998241934> ?p ?o ?g. }
- W1998241934 abstract "The directional weak decay constants of neutral pions are determined at finite temperature $T$, chemical potential $ensuremath{mu}$ and in the presence of a constant magnetic field $B$. To do this, we first derive the energy dispersion relation of neutral pions from the corresponding effective action of a two-flavor, hot and magnetized Nambu--Jona-Lasinio model. Using this dispersion relation, including nontrivial directional refraction indices, we then generalize the partially conserved axial vector current relation of neutral pions and derive the Goldberger-Treiman as well as the Gell--Mann-Oakes-Renner relations consisting of the directional quark-pion coupling constant ${g}_{qq{ensuremath{pi}}^{0}}^{(ensuremath{mu})}$ and the weak decay constant ${f}_{{ensuremath{pi}}^{0}}^{(ensuremath{mu})}$ of neutral pions. The temperature dependence of ${g}_{qq{ensuremath{pi}}^{0}}^{(ensuremath{mu})}$ and ${f}_{{ensuremath{pi}}^{0}}^{(ensuremath{mu})}$ are then determined for fixed chemical potential and various constant background magnetic fields. The Goldberger-Treiman and Gell--Mann-Oakes-Renner relations are also verified at finite $T$, $ensuremath{mu}$ and $eB$. It is shown that, because of the explicit breaking of the Lorentz invariance by the magnetic field, the directional quark-pion coupling and decay constants of neutral pions in the longitudinal and transverse directions with respect to the direction of the external magnetic field are different, i.e., ${g}_{qq{ensuremath{pi}}^{0}}^{ensuremath{parallel}}ensuremath{ne}{g}_{qq{ensuremath{pi}}^{0}}^{ensuremath{perp}}$ and ${f}_{{ensuremath{pi}}^{0}}^{ensuremath{parallel}}ensuremath{ne}{f}_{{ensuremath{pi}}^{0}}^{ensuremath{perp}}$. As it turns out, for fixed $T$, $ensuremath{mu}$ and $B$, ${g}_{qq{ensuremath{pi}}^{0}}^{ensuremath{parallel}}>{g}_{qq{ensuremath{pi}}^{0}}^{ensuremath{perp}}$ and ${f}_{{ensuremath{pi}}^{0}}^{ensuremath{parallel}}<{f}_{{ensuremath{pi}}^{0}}^{ensuremath{perp}}$." @default.
- W1998241934 created "2016-06-24" @default.
- W1998241934 creator A5024700737 @default.
- W1998241934 creator A5042998637 @default.
- W1998241934 date "2013-09-27" @default.
- W1998241934 modified "2023-10-18" @default.
- W1998241934 title "Weak decay constant of neutral pions in a hot and magnetized quark matter" @default.
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- W1998241934 doi "https://doi.org/10.1103/physrevd.88.065030" @default.
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