论文标题
聚合膜的平坦相时以双回路顺序
The flat phase of polymerized membranes at two-loop order
论文作者
论文摘要
我们研究了两个互补的现场理论模型,描述了聚合 - 幻象 - 膜的平坦相,该模型通过两层型弱耦合,弱耦合,扰动方法在上部临界尺寸$ d_ {uc} = 4 $附近执行,扩展了Aronovitz和Lubensky的一环计算。莱特牧师。 60,2634(1988)]。我们在修改的最小缩写方案中得出重新归一化的组方程,然后分析来自双环的校正,并特别注意重新归一化组流量的异常尺寸和渐近红外属性。我们最终将我们的结果与用于研究这两个模型的非驱动技术提供的结果进行了比较。
We investigate two complementary field-theoretical models describing the flat phase of polymerized - phantom - membranes by means of a two-loop, weak-coupling, perturbative approach performed near the upper critical dimension $D_{uc}=4$, extending the one-loop computation of Aronovitz and Lubensky [Phys. Rev. Lett. 60, 2634 (1988)]. We derive the renormalization group equations within the modified minimal substraction scheme, then analyze the corrections coming from two-loop with a particular attention paid to the anomalous dimension and the asymptotic infrared properties of the renormalization group flow. We finally compare our results to those provided by nonperturbative techniques used to investigate these two models.