具有矢量荷和“弹性”势的电磁库仑气体：重整化群方程
Electromagnetic Coulomb Gas with Vector Charges and "Elastic'' Potentials : Renormalization Group Equations
摘要：
本文详细推导了二维电磁库仑气体的重整化群方程，该气体的电荷位于三角形晶格上（磁荷），其对偶电荷（电荷）。电荷之间的相互作用既涉及角耦合又涉及新的电磁势。这就激发了“弹性”库仑气体的命名。这种弹性库仑气体是在研究耦合到衬底上的二维固体的连续熔化转变时自然产生的，或者是与之相称的，或者是与淬火无序有关的。
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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