微转动弹性力学的规范理论方法
A gauge theoretic approach to elasticity with microrotations
摘要：
我们使用规范理论的框架，制定了弹性理论与微旋转，这已经发展并成功地应用于引力和宇宙学的各个领域。按照这种方法，我们证明了粒子的解决方案的存在性。在数学上，这是由于我们的运动方程是Sine-Gordon型的，因此具有孤子型解。类似于经典场论中的Skyrmions和Kinks，我们可以明确地证明这些解具有拓扑起源。
英文摘要：
We formulate elasticity theory with microrotations using the framework of gauge theories, which has been developed and successfully applied in various areas of gravitation and cosmology. Following this approach, we demonstrate the existence of particle-like solutions. Mathematically this is due to the fact that our equations of motion are of Sine-Gordon type and thus have soliton type solutions. Similar to Skyrmions and Kinks in classical field theory, we can show explicitly that these solutions have a topological origin.
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