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摘要翻译：
对无序介质中定向聚合物(DPRM)微扰展开式的部分求和，可以将DPRM的有效耦合常数Δ(t)$幂次的骨架展开式表示为DPRM复型场理论中两个复型之间的束缚态，并等价于量子粒子在外部Δ%-势中的束缚态。强耦合相的特征是:$\delta(t)$与$t$，$\delta(t)\sim\exp(p_{c}t)$成指数关系，$%p_{c}$是粒子的结合能。对于维度$d>2$，强耦合阶段存在于$\delta_{0}>\delta_{c}(d)$。在$d=1$中，我们显式地计算了有效耦合次幂最低阶自由能的均方位移和第2累积量。我们认为，消除骨架展开式中的$\exp(p_{c}t)$项需要对骨架级数进行额外的部分求和。
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英文标题：
《Skeleton expansions for directed polymers in disordered media》
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作者：
Semjon Stepanow
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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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一级分类：Physics 物理学
二级分类：Disordered Systems and Neural Networks 无序系统与神经网络
分类描述：Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜；随机、非周期和准周期系统的性质；无序介质中的传输；本地化；由缺陷和无序介导的现象；神经网络
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英文摘要：
Partial summations of perturbation expansions of the directed polymer in disordered media (DPRM) enables one to represent the latter as skeleton expansions in powers of the effective coupling constant $\Delta (t)$, which corresponds to the binding state between two replicas in the replica field theory of DPRM, and is equivalent to the binding state of a quantum particle in an external $\delta $% -potential. The strong coupling phase is characterized by the exponential dependence of $\Delta (t)$ on $t$, $\Delta (t)\sim \exp (p_{c}t)$ with $% p_{c} $ being the binding energy of the particle. For dimensions $d>2$ the strong coupling phase exists for $\Delta_{0}>\Delta _{c}(d)$. We compute explicitly the mean-square displacement and the 2nd cumulant of the free energy to the lowest order in powers of effective coupling in $d=1$. We argue that the elimination of the terms $\exp (p_{c}t)$ in skeleton expansions demands an additional partial summation of skeleton series.
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PDF链接：
https://arxiv.org/pdf/710.0081
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