On the connection between Random Waves and Quantum Fields. Duality between nodal lines statistic and the Casimir energy

Abstract

Using the statistical description common to random waves and quantum fields we show how the probability of having a nodal line close to a (translationally symmetric) reference curve $\gamma$ is related to the Casimir energy of an appropriate configuration of conductors.

13 pages, no figures

References in corpus (5)

• Calculating Vacuum Energies in Renormalizable Quantum Field Theories: A New Approach to the Casimir Problem
• Casimir Effect on the Worldline
• The Casimir Effect and Geometric Optics
• Casimir Effects: An Optical Approach I. Foundations and Examples
• The morphology of nodal lines-random waves versus percolation