Matches in SemOpenAlex for { <https://semopenalex.org/work/W1978603571> ?p ?o ?g. }
- W1978603571 abstract "The mean field (MF) approximation for the pion matter, being equivalent to the leading order chiral perturbation theory, involves no dynamical loops and, if self-consistent, produces finite renormalizations only. The weight factor of the Haar measure of the pion fields, entering the path integral, generates an effective Lagrangian $ensuremath{delta}{mathcal{L}}_{H}$ which is generally singular in the continuum limit. There exists only one parametrization of the pion fields, for which the weight factor is equal to unity and $ensuremath{delta}{mathcal{L}}_{H}=0$, respectively. This unique parametrization ensures self-consistency of the MF approximation. We use it to calculate thermal Green functions of the pion gas in the MF approximation as a power series over the density. The Borel transforms of thermal averages of a function $mathcal{J}({ensuremath{chi}}^{ensuremath{alpha}}{ensuremath{chi}}^{ensuremath{alpha}})$ of the pion fields ${ensuremath{chi}}^{ensuremath{alpha}}$ with respect to the scalar pion density are found to be $frac{2}{sqrt{ensuremath{pi}}}mathcal{J}(4t)$. The perturbation series over the scalar pion density for basic characteristics of the pion matter, such as the pion propagator, the pion optical potential, the scalar quark condensate $⟨overline{q}q⟩$, the in-medium pion decay constant $stackrel{texttildelow{}}{F}$, and the equation of state of pion matter, appear to be asymptotic ones. These series are summed up using the contour-improved Borel resummation method. The quark scalar condensate decreases smoothly until ${T}_{mathrm{max}}ensuremath{simeq}310text{ }text{ }mathrm{MeV}$. The temperature ${T}_{mathrm{max}}$ is the maximum temperature admissible for the thermalized nonlinear sigma model at zero pion chemical potentials. The estimate of ${T}_{mathrm{max}}$ is above the chemical freeze-out temperature $Tensuremath{simeq}170text{ }text{ }mathrm{MeV}$ in relativistic heavy-ion collisions and above the phase transition to two-flavor quark matter ${T}_{c}ensuremath{simeq}175text{ }text{ }mathrm{MeV}$, predicted by lattice gauge theories." @default.
- W1978603571 created "2016-06-24" @default.
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- W1978603571 date "2006-12-27" @default.
- W1978603571 modified "2023-10-16" @default.
- W1978603571 title "Density resummation of perturbation series in a pion gas to leading order in chiral perturbation theory" @default.
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- W1978603571 doi "https://doi.org/10.1103/physrevd.74.125019" @default.
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