Local Neumann semitransparent layers: Resummation, pair production, and duality

Autor: N. Ahmadiniaz, S. A. Franchino-Viñas, L. Manzo, F. D. Mazzitelli
Jazyk: angličtina
Rok vydání: 2022
Předmět:
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