arXiv · hep-ph/9609291
In-Medium Pion Properties from Chiral Perturbation Theory
Abstract
Two-point functions related to the pion weak decay constant $f_π$ are calculated from the generating functional of chiral perturbation theory in the mean field approximation and the heavy-baryon limit. The aim is to demonstrate that Lorentz invariance is violated in the presence of background matter. This fact manifests itself in the splitting of both $f_π$ and the pion mass into uncorrelated time- and space-like parts. We emphasize the different in-medium renormalizations of the correlation functions, show the inequivalence between the in-medium values of $f_π$ deduced from Walecka-type models, on the one hand, and QCD sum rules, on the other hand, and elaborate on the importance for some nuclear physics observables.
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M. Kirchbach, A. Wirzba. 1996-09-09. In-Medium Pion Properties from Chiral Perturbation Theory. https://arxiv.org/abs/hep-ph/9609291
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