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arXiv 0801.1374hep-phnucl-th
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膨胀子在稠密Skyrmion物质中的作用

The Role of the Dilaton in Dense Skyrmion Matter

Byung-Yoon Park, Mannque Rho, Vicente Vento

摘要:

在这份说明中,我们报告了一个显着的和令人惊讶的相互作用之间的欧米茄介子和介子chi的结构中的一个单一的skyrmion,以及在相结构的致密skyrmion物质,这可能有一个潜在的重要后果的性质紧凑的恒星。在我们对高密度强子物质的研究中,我们发展了一个统一的场论形式,用一个拉格朗日量同时描述物质和介子的涨落,并研究了强子在介质中的性质。所用的有效理论是Skyrme模型拉格朗日规范与矢量介子ρ和ω,实现与描述自发破缺的标度对称性的QCD,在形式上与QCD的对称性和我们的期望,关于高密度极限。我们分析了尺度不变性和手征对称性随系统密度增加的恢复。为了保持尺度对称性和手征对称性的恢复,在我们的情况下,通过消失的期望值的介子,并与隐藏的局部对称性的矢量表现形式相一致,密度依赖的Ω耦合被引入。我们揭示了介子和Ω介子在稠密介质的相结构中所起的关键作用,并发现了当我们调节介子质量时,两种不同的相变机制是如何产生的。

英文摘要:

In this note, we report on a remarkable and surprising interplay between the omega meson and the dilaton chi in the structure of a single skyrmion as well as in the phase structure of dense skyrmion matter which may have a potentially important consequence on the properties of compact stars. In our continuing effort to understand hadronic matter at high density, we have developed a unified field theoretic formalism for dense skyrmion matter using a single Lagrangian to describe simultaneously both matter and meson fluctuations and studied in-medium properties of hadrons. The effective theory used is the Skyrme model Lagrangian gauged with the vector mesons rho and omega, implemented with the dilaton field that describes the spontaneously broken scale symmetry of QCD, in a form consistent with the symmetries of QCD and our expectations regarding the high density limit. We analyze the restoration of scale invariance and chiral symmetry as the density of the system increases. In order to preserve the restoration of scale symmetry and chiral symmetry, signalled in our case by the vanishing of the expectation value of the dilaton, and to be consistent with the vector manifestation of hidden local symmetry, a density dependent omega coupling is introduced. We uncover the crucial role played by both the dilaton and the omega meson in the phase structure of dense medium and discover how two different phase transition regimes arise as we dial the dilaton mass.

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