1. Local Neumann semitransparent layers: Resummation, pair production, and duality
- Author
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N. Ahmadiniaz, S. A. Franchino-Viñas, L. Manzo, and F. D. Mazzitelli
- Subjects
High Energy Physics - Theory ,Neumann boundary conditions ,Quantum Physics ,Duality ,Dynamical Casimir effect ,FOS: Physical sciences ,Dirichlet semitransparent boundary conditions ,Mathematical Physics (math-ph) ,Pair creation ,High Energy Physics - Theory (hep-th) ,Effective action ,Quantum field theory in background fields ,Quantum Physics (quant-ph) ,Mathematical Physics - Abstract
We consider local semitransparent Neumann boundary conditions for a quantum scalar field as imposed by a quadratic coupling to a source localized on a flat codimension-one surface. Upon a proper regularization to give meaning to the interaction, we interpret the effective action as a theory in a first-quantized phase space. We compute the relevant heat-kernel to all order in a homogeneous background and to quadratic order in perturbations, giving a closed expression for the corresponding effective action in $D=4$. In the dynamical case, we analyze the pair production caused by a harmonic perturbation and by a Sauter pulse. Notably, we prove the existence of a strong/weak duality that links this Neumann field theory to the analogue Dirichlet one., Comment: 32 pages, 2 figures
- Published
- 2022