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

AHMADINIAZ, N.; FRANCHINO-VIÑAS, S.?A.; MANZO, L.; MAZZITELLI, F.?D.

Physical Review D

APS

Año: 2022 vol. 106

2470-0010

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 firstquantized phase space. We compute the relevant heat kernel to all order in a homogeneous background and 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 a Sauter pulse. Notably, we prove the existence of a strong/weak duality that links this Neumann field theory to the analog Dirichlet one.