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摘要翻译：
用基于平均场的统计方法计算了均相和稀玻色气体在D维($2\led\le3$)的相变温度。相变温度的移动顺序为:$\ΔT_C/T_C^0=c\Gam^{\Al}$,其中$\Gam=n^{1/3}A$。我们在广义维数下导出了Huang的相变温度的结果。我们证明在短波长范围内，$c(D)$为正，$\al(D)=2(D/2-1)^2$。讨论了d=3时$al=1/2$与$al=1$之差的来源。在d=2处的$t_c$也用同样的方案计算。并与Fisher和Hohenberg的KT温度进行了比较。
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英文标题：
《Transition temperature of the homogeneous and dilute Bose gas in
D-dimensions》
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作者：
Sang-Hoon Kim
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
The phase transition temperature of the homogeneous and dilute Bose gas in D-dimensions ($2 \le D \le 3$) is calculated by a mean field-based statistical method. The shift of the phase transition temperature is written up to the leading order as $\Delta T_c/T_c^0 = c \gam^{\al}$, where $\gam=n^{1/3}a$. We derived Huang's result of the phase transition temperature in the generalized dimensions. We show that $ c(D)$ is positive and $\al(D)=2(D/2-1)^2$ in the short-wavelength range. The origin of the difference between $\al=1/2$ and $\al=1$ at D=3 is discussed. The $T_c$ at D=2 is calculated in the same scheme. The result is compared with Fisher and Hohenberg's KT temperature.
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PDF链接：
https://arxiv.org/pdf/707.1538
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