手征微扰理论中的多组分介子超流体
Multicomponent meson superfluids in chiral perturbation theory
摘要：
我们证明了多组分介子系统可用手征微扰理论描述。我们主要研究了具有不同同位旋化学势的两个π介子气体系统，推导了手征拉格朗日量的一般表达式，得到了该系统的基态性质和低能激发谱。我们考虑两种介子气体之间的两种不同的相互作用：一种不锁定两个手征对称性群，另一种锁定它们。前者是一种已经在多组分超流体中讨论过的相互作用。后者可能更有趣，因为似乎与不稳定性有关。虽然系统的压力没有表现出任何不稳定性，我们发现，足够强的锁定，一个Bogolyubov模式的频谱成为快子。这个不稳定的分支似乎表明向非均匀相的转变。
英文摘要：
We show that the multicomponent meson systems can be described by chiral perturbation theory. We chiefly focus on a system of two pion gases at different isospin chemical potential, deriving the general expression of the chiral Lagrangian, the ground state properties and the spectrum of the low-energy excitations. We consider two different kinds of interactions between the two meson gases: one which does not lock the two chiral symmetry groups and one which does lock them. The former is a kind of interaction that has already been discussed in mutlicomponent superfluids. The latter is perhaps more interesting, because seems to be related to an instability. Although the pressure of the system does not show any instability, we find that for sufficiently strong locking, the spectrum of one Bogolyubov mode becomes tachyonic. This unstable branch seems to indicate a transition to an inhomogeneous phase.
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