Secularly growing loop corrections to the dynamical Casimir effect

Abstract

The paper is based on the Bachelor Thesis defended this year in ITEP, Moscow. This is the extended version of [arXiv:1707.02242] and contains a lot more technical details of the calculations. We consider (1+1)-dimensional massless scalar field theory with Dirichlet boundary conditions on arbitrary time-like curve. It is well known that in this situation there is a non-zero energy flux at the tree-level, if the latter curve corresponds to a non--stationary motion of the boundary. Such a problem is usually referred to as the radiation due to moving mirrors. We calculate quantum loop corrections to the energy flux from moving mirrors and find that they grow with time. Hence, they 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.

32 pages, 6 figures; this is the extended version of arXiv:1707.02242

References in corpus (8)

• Hawking radiation and secularly growing loop corrections
• Many-body theory of non-equilibrium systems
• IR divergences and kinetic equation in de Sitter space. (Poincare patch; Principal series)
• Infrared dynamics of massive scalars from the complementary series in de Sitter space
• Solution of the Dyson--Schwinger equation on de Sitter background in IR limit
• Secularly growing loop corrections in strong electric fields
• Physical meaning and consequences of the loop IR divergences in global dS
• Dynamical Casimir effect and surprises with loop corrections to it

Cited by in corpus (5)

• Particle creation in nonstationary large N quantum mechanics
• A quantum heating as an alternative of reheating
• Dynamical Casimir effect in nonlinear vibrating cavities
• Nonlinear dynamical Casimir effect at weak nonstationarity
• Out of equilibrium two-dimensional Yukawa theory in a strong scalar wave background