Dynamical Casimir effect and surprises with loop corrections to it

Abstract

We calculate quantum loop corrections to the stress-energy flux caused by moving mirrors. We consider massless, self-interacting, ${\varphi }^4$, real scalar theory. In these calculations we encounter a new and quite unexpected subtleties due to the absence of global hyperbolicity in the presence of mirrors. We attempt to clearly phrase as many as possible hidden assumptions and complications that appear along the course of the solution of the problem in question. On top of that we find that quantum loop corrections to the stress-energy flux are growing with time and are not suppressed in comparison with the semi-classical contributions. Thus, we observe the break down of the perturbation theory, discuss its physical origin and ways to deal with such a situation. As a byproduct we observe a similarity of the problem in question with that for the minimally coupled, massless scalar field in de Sitter space.

22 pages, 7 fig, Slightly corrected version, which will appear in PRD

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Cited by in corpus (18)

• Characters of different secular effects in various patches of de Sitter space
• Particle creation in nonstationary large N quantum mechanics
• A quantum heating as an alternative of reheating
• Dynamical Casimir effect in nonlinear vibrating cavities
• Debye mass in de Sitter space
• Comments on the adiabatic theorem
• Nonlinear dynamical Casimir effect at weak nonstationarity
• Ultraviolet phenomena in AdS self-interacting quantum field theory
• On quantization in background scalar fields
• Secularly growing loop corrections in scalar wave background
• Massive quantum scalar field theory in the presence of moving mirrors
• Enhancement of particle creation in nonlinear resonant cavities
• Loop corrections to a cosmological particle creation
• Secularly growing loop corrections to the dynamical Casimir effect
• Out of equilibrium two-dimensional Yukawa theory in a strong scalar wave background
• Dynamical Casimir effect with screened scalar fields
• Loop corrections to the current of created pairs in the lengthy electric pulse
• Quantum communication through a partially reflecting accelerating mirror