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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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00163660
Contributor : David Carpentier <>
Submitted on : Tuesday, July 17, 2007 - 6:10:10 PM
Last modification on : Thursday, March 21, 2019 - 2:18:31 PM
Long-term archiving on : Thursday, April 8, 2010 - 11:30:09 PM

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

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

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