论文标题
部分可观测时空混沌系统的无模型预测
On the effective lagrangian at nonzero isospin chemical potential
论文作者
论文摘要
我们在非零等体化学潜力的手性扰动理论中重新审视了手性扰动理论中最普遍的拉格朗日。除了文献中已经考虑的贡献外，我们还讨论了对称性允许的新术语的效果，这些术语在包括弹药场（包括弹药场）以及线性场校正的外部源方法中得出。我们研究了这些新贡献对零温度和从中的可观察到的能量密度的影响，例如茶和夸克冷凝物以及同音蛋白的密度。校正显示与晶格结果兼容，该校正有利于唯一未确定的低能常数（LEC）到领先顺序$ {\ cal O}（p^2）$的非零值，尤其是对bose-einstein凝结的关键值的转移。对于$ {\ cal o}（p^4）$，我们研究了新LEC的物理约束，该物理约束使能量密度重归一致，并且其数值效应在自然值中估计。新的$ {\ cal o}（p^4）$校正产生的偏差比先前考虑的偏差更大，并且与晶格结果保持兼容。
We revisit the most general effective lagrangian within Chiral Perturbation Theory at nonzero isospin chemical potential. In addition to the contributions already considered in the literature, we discuss the effects of new terms allowed by the symmetries, derived within the external source method including spurion fields, as well as of linear-field corrections. We study the influence of those new contributions on the energy density at zero temperature and observables derived from it, such as the pion and quark condensates and the isospin density. Corrections are shown to be compatible with lattice results, which favor a nonzero value for the only undetermined low-energy constant (LEC) to leading order ${\cal O}(p^2)$, rendering in particular a shift of the critical value for Bose-Einstein condensation. To ${\cal O}(p^4)$ we study the physical constraints on the new LEC, which renormalize the energy density and whose numerical effect is estimated within natural values. The new ${\cal O}(p^4)$ corrections give rise to more significant deviations than those previously considered and remain compatible with lattice results.
