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

Physics Letters B, Vol. 816 (2021)

Mots clés
Auteurs
  • Jens Boos
  • Theoretical Physics Institute, University of Alberta, Edmonton, Alberta, T6G 2E1, Canada; High Energy Theory Group, Department of Physics, William & Mary, Williamsburg, VA 23187-8795, United States; Corresponding author.
  • Valeri P. Frolov
  • Theoretical Physics Institute, University of Alberta, Edmonton, Alberta, T6G 2E1, Canada
  • Andrei Zelnikov
  • Theoretical Physics Institute, University of Alberta, Edmonton, Alberta, T6G 2E1, Canada

Résumé

Considering an exactly solvable local quantum theory of a scalar field interacting with a δ-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.

Read more: fulltext