Particle Production by a Relativistic Semi-Transparent Mirror in 1+3D Minkowski Spacetime

Abstract

Production of scalar particles by a relativistic, semi-transparent mirror in 1+3D Minkowski spacetime based on the Barton-Calogeracos (BC) action is investigated. The corresponding Bogoliubov coefficients are derived for a mirror with arbitrary trajectory. In particular, we apply our derived formula to the gravitational collapse trajectory. In addition, we identify the relation between the particle spectrum and the particle production probability, and we demonstrate the equivalence between our approach and the existing approach in the literature, which is restricted to 1+1D. In short, our treatment extends the study to 1+3D spacetime. Lastly, we offer a third approach for finding the particle spectrum using the S-matrix formalism.

9 pages, 3 figures

References in corpus (5)

• Hamiltonian approach to the dynamical Casimir effect
• A Scattering Approach to the Dynamical Casimir Effect
• Black hole collapse simulated by vacuum fluctuations with a moving semi-transparent mirror
• Inhibition of the dynamical Casimir effect with Robin boundary conditions
• Einstein's mirror revisited

Cited by in corpus (5)

• Relativistic quantum information as radiation reaction: entanglement entropy and self-force of a moving mirror analog to the CGHS black hole
• Classical acceleration temperature from evaporated black hole remnants and accelerated electron-mirror radiation
• Particle production by a relativistic semitransparent mirror of finite size and thickness
• Analog Hawking radiation emitted by a perfectly reflecting mirror
• Propelling force from asymmetrically excited quantum vacuum with conventional mirrors