Dynamical Casimir effect from fermions in an oscillating bag in 1+1 dimensions

TL;DR

This paper investigates the dynamical Casimir effect for fermions in a 1+1 dimensional system with oscillating boundaries, calculating fermion pair creation probabilities and vacuum decay related to boundary oscillations.

Contribution

It provides explicit calculations of fermion pair creation and vacuum decay in a 1+1D Dirac field with oscillating boundaries, linking boundary conditions to particle production.

Findings

Derived explicit fermion pair creation probabilities.

Connected vacuum decay to the imaginary part of the effective action.

Analyzed effects of boundary oscillations on fermionic fields.

Abstract

We evaluate dissipative effects for a system consisting of a massive Dirac field confined between two walls, one of them oscillating, in 1+1 dimensions. In the model that we consider, a dimensionless parameter characterizing each wall is tuned so that bag-boundary conditions are attained for a particular value. We present explicit results for the probability of creating a fermion pair out of the vacuum, and relate the total vacuum decay probability to the imaginary part of the effective action.