Quantum vacuum interaction between two cosmic strings revisited

Abstract

We reconsider the quantum vacuum interaction energy between two straight parallel cosmic strings. This problem was discussed several times in an approach treating both strings perturbatively and treating only one perturbatively. Here we point out that a simplifying assumption made in [1] can be justified and show that, despite the global character of the background, the perturbative approach delivers a correct result. We consider the applicability of the scattering methods, developed in the past decade for the Casimir effect, for the cosmic string and find it not applicable. We calculate the scattering T-operator on one string. Finally, we consider the vacuum interaction of two strings when each carries a two dimensional delta function potential.

Submitted to Phys Rev D

References in corpus (4)

• Casimir forces in a T operator approach
• Attractive and Repulsive Casimir Vacuum Energy with General Boundary Conditions
• Quantum vacuum energies and Casimir forces between partially transparent $\delta$-function plates
• Quantum vacuum interaction between two sine-Gordon kinks

Cited by in corpus (6)

• $\delta -{\delta }^{\prime }$ generalized Robin boundary conditions and quantum vacuum fluctuations
• Casimir interaction of finite-width strings
• Scattering and bound states of a spin--1/2 neutral particle in the cosmic string spacetime
• Vacuum effects induced by a plate in de Sitter spacetime in the presence of a cosmic string
• Electromagnetic vacuum densities induced by a cosmic string
• Casimir energy through transfer operators for sine-Gordon backgrounds