Chiral symmetry and QCD sum rules for the nucleon mass in matter

Abstract

The quark condensate in nuclear matter contains a term of order $\rho m_{\pi }$, arising from the contribution of low-momentum virtual pions to the $\pi N$ sigma commutator. Standard treatments of QCD sum rules for a nucleon in matter generate a similar term in the nucleon effective mass, although this is inconsistent with chiral perturbation theory. We show how an improved treatment of pionic contributions on the phenomenological side of the sum rules can cancel out this unwanted piece. Our results also show that factorisation ansatz for the four-quark condensate cannot be valid in matter.

11 pages (RevTeX)

References in corpus (3)

• Chiral symmetry in nuclei: partial restoration and its consequences
• What does a change in the quark condensate say about restoration of chiral symmetry in matter?
• QCD sum rules and chiral logarithms

Cited by in corpus (11)

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• Properties of Hadrons in the Nuclear Medium
• Four-Quark Condensates in Nucleon QCD Sum Rules
• The rho meson in a scenario of pure chiral restoration
• Nucleon QCD sum rules in nuclear matter including four-quark condensates
• Chiral symmetry and mixing of axial and vector correlators in matter
• Algebraic Approach to Bare Nucleon Matrix Elements
• Scalar field in nuclear matter: the roles of spontaneous chiral symmetry breaking and nucleon structure
• Chiral properties of hadron correlators in nuclear matter
• Nonleptonic Hyperon Decays with QCD Sum Rules
• Naive versus mirror assignment at finite density: correlator mixing and chiral symmetry restoration