Skip to Main content Skip to Navigation
Journal articles

Casimir effect on the lattice: U(1) gauge theory in two spatial dimensions

Abstract : We propose a general numerical method to study the Casimir effect in lattice gauge theories. We illustrate the method by calculating the energy density of zero-point fluctuations around two parallel wires of finite static permittivity in Abelian gauge theory in two spatial dimensions. We discuss various subtle issues related to the lattice formulation of the problem and show how they can successfully be resolved. Finally, we calculate the Casimir potential between the wires of a fixed permittivity, extrapolate our results to the limit of ideally conducting wires and demonstrate excellent agreement with a known theoretical result.
Document type :
Journal articles
Complete list of metadata
Contributor : Maxim Chernodub Connect in order to contact the contributor
Submitted on : Friday, September 9, 2016 - 10:02:23 AM
Last modification on : Tuesday, January 11, 2022 - 5:56:09 PM

Links full text


  • HAL Id : hal-01362563, version 1
  • ARXIV : 1609.02323



M. N. Chernodub, A. V. Molochkov, V. A. Goy. Casimir effect on the lattice: U(1) gauge theory in two spatial dimensions. Physical Review D, American Physical Society, 2016, 94, pp.094504. ⟨hal-01362563⟩



Les métriques sont temporairement indisponibles