Dynamical Casimir effect in nonlinear vibrating cavities

Nonlinear terms in the equations of motion can induce secularly growing loop corrections to correlation functions. Recently such corrections were shown to affect the particle production by a nonuniformly moving ideal mirror. We extend this conclusion to the cases of ideal vibrating cavity and single semitransparent mirror. These models provide natural IR and UV scales and allow a more accurate study of the loop behavior. In both cases we confum that two-loop correction to the Keldysh propagator quadratically grows with time. This growth indicates a breakdown of the semiclassical approximation and emphasizes that bulk nonlinearities in the dynamical Casimir effect cannot be neglected for large evolution times.

Automated summary

Nonlinear terms in the equations of motion can cause secular growth in loop corrections to correlation functions, affecting particle production by nonuniformly moving ideal mirror and extending to ideal vibrating cavity and single semitransparent mirror. Two-loop correction to the Keldysh propagator quadratically grows with time in both cases, indicating breakdown of semiclassical approximation and importance of nonlinearities in the dynamical Casimir effect for large evolution times.