In continuation of our systematic effort to understand hadronic matter at high density, we study dense skyrmion matter and its chiral phase structure in an effective field theory implemented with the trace anomaly of QCD applicable in the large N c limit. By incorporating a dilaton field ฯ associate
The pion velocity in dense skyrmion matter
โ Scribed by Hee-Jung Lee; Byung-Yoon Park; Mannque Rho; Vicente Vento
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 355 KB
- Volume
- 741
- Category
- Article
- ISSN
- 0375-9474
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โฆ Synopsis
We have developed a field theory formalism to calculate in-medium properties of hadrons within a unified approach that exploits a single Lagrangian to describe simultaneously both matter background and meson fluctuations. In this paper we discuss the consequences on physical observables of a possible phase transition of hadronic matter taking place in the chiral limit. We pay special attention to the pion velocity v ฯ , which controls, through a dispersion relation, the pion propagation in the hadronic medium. The v ฯ is defined in terms of parameters related to the matrix element in matter of the axial-vector current, namely, the in-medium pion decay constants, f t and f s . Both of the pion decay constants change dramatically with density and even vanish in the chiral limit when chiral symmetry is restored, but the pion velocity does not go to zero, decreasing at most 10% over the whole density range studied. A possible pseudogap structure is indicated.
๐ SIMILAR VOLUMES
feature is likely to be generic at high density although our ground state may not be the true ground state.
The modification of the ฯ-meson self-energy due to the coupling to in-medium pions is calculated consistently at finite baryon density and temperature, keeping the full 3-momentum dependence in a gauge invariant way. As a function of nucleon density, the ฯ-meson spectral function is strongly enhance