蛋白质分子的Chern-Simons-Higgs模型
Chern-Simons-Higgs Model as a Theory of Protein Molecules
摘要：
本文讨论了具有Chern-Simons相互作用的一维Abel Higgs模型作为一种有效的一维曲线嵌入三维空间的理论。我们证明了这种有效的模型是如何兼容的蛋白质分子的几何形状。使用标准的场论技术，我们分析唯象有趣的静态配置的模型，并讨论其稳定性。这个简单的模型预测一些特征关系的蛋白质的二级结构基序的几何形状，我们展示了这是如何与实验数据相一致。在使用这些数据来普遍地固定基本的局部几何参数之后，例如螺旋图案的曲率和扭转，我们只剩下一个自由参数。我们解释这个参数如何控制的丰度和形状的主要图案（α螺旋，β链和环连接它们）。
英文摘要：
In this paper we discuss a one-dimensional Abelian Higgs model with Chern-Simons interaction as an effective theory of one-dimensional curves embedded in three-dimensional space. We demonstrate how this effective model is compatible with the geometry of protein molecules. Using standard field theory techniques we analyze phenomenologically interesting static configurations of the model and discuss their stability. This simple model predicts some characteristic relations for the geometry of secondary structure motifs of proteins, and we show how this is consistent with the experimental data. After using the data to universally fix basic local geometric parameters, such as the curvature and torsion of the helical motifs, we are left with a single free parameter. We explain how this parameter controls the abundance and shape of the principal motifs (alpha helices, beta strands and loops connecting them).
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