What does a change in the quark condensate say about restoration of chiral symmetry in matter?

Details What does a change in the quark condensate say about restoration of chiral symmetry in matter? What does a change in the quark condensate say about restoration of chiral symmetry in matter?

1996-02-09

arxiv.org/abs/hep-ph/9602266v2

Phys.Rev.C53:2048-2051,1996

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages (RevTeX). Definition of effective mass changed; numerical value of leading nonanalytic term corrected, along with vari

Scientific paper

10.1103/PhysRevC.53.R2048

The contribution of nucleons to the quark condensate in nuclear matter includes a piece of first order in $m_\pi$, arising from the contribution of low-momentum virtual pions to the $\pi N$ sigma commutator. Chiral symmetry requires that no term of this order appears in the $NN$ interaction. The mass of a nucleon in matter thus cannot depend in any simple way on the quark condensate alone. More generally, pieces of the quark condensate that arise from low-momentum pions should not be associated with partial restoration of chiral symmetry.

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