Casimir effect on the lattice: U(1) gauge theory in two spatial dimensions
High Energy Physics - Lattice
2016-12-07 v1 Statistical Mechanics
Quantum Physics
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.
Keywords
Cite
@article{arxiv.1609.02323,
title = {Casimir effect on the lattice: U(1) gauge theory in two spatial dimensions},
author = {M. N. Chernodub and V. A. Goy and A. V. Molochkov},
journal= {arXiv preprint arXiv:1609.02323},
year = {2016}
}
Comments
12 pages, 10 figures