Quantum effects due to a moving Dirichlet point
C. D. Fosco, D. R. Junior, L. E. Oxman
TL;DR
This paper investigates quantum phenomena caused by a moving point-like boundary condition in scalar fields across different dimensions, focusing on the effective action and renormalization challenges, especially in two dimensions.
Contribution
It introduces a model of a moving Dirichlet boundary condition as a strong coupling limit and analyzes the resulting quantum effects and renormalization issues.
Findings
Effective action evaluated for different dimensions
Renormalization issues identified and discussed
Special case of 2D with adimensional coupling analyzed
Abstract
We study quantum effects induced by a point-like object that imposes Dirichlet boundary conditions along its world-line, on a real scalar field in 1, 2 and 3 spatial dimensions. The boundary conditions result from the strong coupling limit of a term quadratic in the field and localized on the particle's trajectory. We discuss the renormalization issues that appear and evaluate the effective action. Special attention is paid to the case of 2 spatial dimensions where the coupling constant is adimensional.
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