In this paper in terms of the replica method we consider the high-temperature limit of () directed polymers in a random potential and propose an approach which allows to compute the scaling exponent θ of the free energy fluctuations as well as the left tail of its probability distribution function. It is argued that which is different from the zero-temperature numerical value which is close to 0.241. This result implies that unlike the system in the two-dimensional case the free energy scaling exponent is non-universal being temperature dependent.

中文翻译：

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(2+1) 定向聚合物在高温极限下的缩放特性

在本文中，根据复制方法，我们考虑了 ( ) 定向聚合物在随机势中的高温极限，并提出了一种允许计算自由能波动的标度指数θ及其左尾的方法。概率分布函数。有人认为这与接近 0.241 的零温度数值不同。这个结果意味着与二维情况下的系统不同，自由能标度指数是非普遍的，与温度有关。