# Vacuum fluctuation effects due to an Abelian gauge field in 2+1 dimensions, in the presence of moving mirrors

## TL;DR

This paper investigates the Dynamical Casimir Effect caused by an Abelian gauge field in 2+1 dimensions with moving, semitransparent mirrors, deriving formulas for pair creation probabilities under various mirror motions.

## Contribution

It provides the first detailed analysis of vacuum fluctuation effects for gauge fields in 2+1 dimensions with dynamic, semitransparent mirrors, including explicit probability expressions.

## Key findings

- Derived general formulas for pair creation probability.
- Analyzed specific mirror motion scenarios.
- Extended understanding of vacuum fluctuations in lower dimensions.

## Abstract

We study the Dynamical Casimir Effect (DCE) due to an Abelian gauge field in 2+1 dimensions, in the presence of semitransparent, zero-width mirrors, which may move or deform in a time-dependent way. We obtain general expressions for the probability of motion-induced pair creation, which we render in a more explicit form, for some relevant states of motion.