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

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.
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Cited literature [20 references]

https://hal-ens-lyon.archives-ouvertes.fr/ensl-00163660
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Submitted on : Tuesday, July 17, 2007 - 6:10:10 PM
Last modification on : Friday, October 15, 2021 - 1:37:06 PM
Long-term archiving on: : Thursday, April 8, 2010 - 11:30:09 PM

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VECG-160707.pdf
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### Identifiers

• HAL Id : ensl-00163660, version 1
• ARXIV : 0707.2667

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### Citation

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

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