Local Neumann semitransparent layers: Resummation, pair production, and duality
Autor: | N. Ahmadiniaz, S. A. Franchino-Viñas, L. Manzo, F. D. Mazzitelli |
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Jazyk: | angličtina |
Rok vydání: | 2022 |
Předmět: |
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 |
Zdroj: | Physical Review Physical Review D 106(2022), 105022 |
Popis: | 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 |
Databáze: | OpenAIRE |
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