In-Medium Chiral Perturbation Theory and Pion Weak Decay in the Presence of Background Matter

Abstract

Two-point functions related to the pion weak decay constant f_πare 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_πand the pion mass into uncorrelated time- and spacelike parts. We emphasize the different in-medium renormalizations of the correlation functions, show the inequivalence between the in-medium values of f_πdeduced 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.

arXiv comment14 pages, RevTex, no figures, to appear in Nucl.Phys. A

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Cited by in corpus (26)

• Modern Theory of Nuclear Forces
• In-medium chiral perturbation theory beyond the mean-field approximation
• Non-perturbative methods for a chiral effective field theory of finite density nuclear systems
• Octet baryon electromagnetic form factors in nuclear medium
• Pion structure in the nuclear medium
• The chiral quark condensate and pion decay constant in nuclear matter at next-to-leading order
• Electroweak properties of pions in a nuclear medium
• The Pion Velocity in Dense Skyrmion Matter
• Chiral Effective Field Theory for Nuclear Matter with long- and short-range Multi-Nucleon Interactions
• In-medium properties of the light and heavy-light mesons in a light-front quark model
• The s-wave pion-nucleus optical potential
• Chiral Perturbation Theory in a Nuclear Background
• Pion weak decay constant at finite density from the instanton vacuum
• In-medium pion weak decay constants
• Update on pion weak decay constants in nuclear matter
• Rho-meson properties in medium
• Chiral restoration at finite temperature with meson loop corrections
• Weak interaction axial form factors of the octet baryons in nuclear medium
• QCD chiral condensate and pseudoscalar-meson properties in the nuclear medium at finite temperature
• The Calculation of $f_{\pi }$ and $m_{\pi }$ at Finite Chemical Potential
• Electroweak form factors of baryons in dense nuclear matter
• Pion in the Medium with a Light-Front Model
• In-Medium Pion Valence Distribution Amplitude
• Modification of hyperon masses in nuclear matter
• Pion properties at finite density
• Octet baryon electroweak form factors in dense nuclear matter