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## Electromagnetic Coulomb Gas with Vector Charges and "Elastic'' Potentials : Renormalization Group Equations

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David Carpentier
Pierre Le Doussal
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• PersonId : 841500

#### Abstract

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.

### Dates and versions

ensl-00163660 , version 1 (17-07-2007)

### Identifiers

• HAL Id : ensl-00163660 , version 1
• ARXIV :

### Cite

David Carpentier, Pierre Le Doussal. Electromagnetic Coulomb Gas with Vector Charges and "Elastic'' Potentials : Renormalization Group Equations. 2007. ⟨ensl-00163660⟩

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