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

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

1996-03-22

arxiv.org/abs/hep-ph/9603387v1

Phys.Lett. B381 (1996) 397-401

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages (RevTeX)

Scientific paper

10.1016/0370-2693(96)00636-3

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.

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