摘要翻译：
本文详细推导了电荷位于三角形晶格上的二维电磁库仑气体的重整化群方程（磁电荷）及其对偶电荷）。电荷之间的相互作用包括角耦合和一个新的电磁势。这就引发了“弹性”库仑气体的命名。这种弹性库仑气体是在研究与基片耦合的二维固体的连续熔融跃迁时自然产生的，这种熔融跃迁既有与基片耦合的，也有与基片耦合的猝灭无序相关的。
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英文标题：
《Electromagnetic Coulomb Gas with Vector Charges and "Elastic''
  Potentials : Renormalization Group Equations》
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作者：
David Carpentier (Phys-ENS), Pierre Le Doussal (LPTENS)
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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：
  We present a detailed derivation of the renormalization group equations for two dimensional electromagnetic Coulomb gases whose charges lie on a triangular lattice (magnetic charges) and its dual (electric charges). The interactions between the charges involve both angular couplings and a new electromagnetic potential. This motivates the denomination of ``elastic'' Coulomb gas. Such elastic Coulomb gases arise naturally in the study of the continuous melting transition of two dimensional solids coupled to a substrate, either commensurate or with quenched disorder.
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PDF链接：
https://arxiv.org/pdf/707.2667