Resonant particle creation by a time-dependent potential in a nonlocal theory

Considering an exactly solvable local quantum theory of a scalar field interacting with a delta-shaped time-dependent potential we calculate the Bogoliubov coefficients analytically and determine the spectrum of created particles. We then show how these considerations, when suitably generalized to a specific nonlocal infinite-derivative quantum theory, are impacted by the presence of nonlocality. In this model, nonlocality leads to a significant resonant amplification of certain modes, leaving its imprint not only in the particle spectrum but also in the total number density of created particles. Published by Elsevier B.V.

Automated summary

The paper analyzes the Bogoliubov coefficients and spectrum of created particles in a local quantum theory of a scalar field interacting with a delta-shaped time-dependent potential. It then explores how these considerations are influenced by nonlocality when generalized to a specific nonlocal infinite-derivative quantum theory. In this model, nonlocality results in significant resonant amplification of certain modes, affecting both the particle spectrum and total number density of created particles.