论文标题
在非零等温度下的两种味道扰动理论的冷凝水和压力
Condensates and pressure of two-flavor chiral perturbation theory at nonzero isospin and temperature
论文作者
论文摘要
我们考虑有限的同胞化学势$μ_i$和有限温度$ t $的两种培养手性扰动理论（$χ$ pt）。我们将有效的电位和夸克和派液缩合为$ t $的功能，而在有先驱源的情况下，在低能量扩张中，在低能扩张中将$μ_i$计算为$μ_i$。我们以$μ_i$ - $ t $平面的形式绘制了相图。从数值上讲，我们发现向pion传感相的过渡是$χ$ pt的有效性区域中的二阶，这与模型计算和晶格模拟一致。最后，我们在非零$μ_i$的对称阶段将压力计算为双环顺序，发现$χ$ pt似乎很好地收敛。
We consider two-flavor chiral perturbation theory ($χ$PT) at finite isospin chemical potential $μ_I$ and finite temperature $T$. We calculate the effective potential and the quark and pion condensates as functions of $T$ and $μ_I$ to next-to-leading order in the low-energy expansion in the presence of a pionic source. We map out the phase diagram in the $μ_I$--$T$ plane. Numerically, we find that the transition to the pion-condensed phase is second order in the region of validity of $χ$PT, which is in agreement with model calculations and lattice simulations. Finally, we calculate the pressure to two-loop order in the symmetric phase for nonzero $μ_I$ and find that $χ$PT seems to be converging very well.
