Pair Production in time-dependent Electric field at Finite times

Fuente: arXiv
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Autori principali: Sah, Deepak, Singh, Manoranjan P.
Natura: Preprint
Pubblicazione: 2023
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author Sah, Deepak
Singh, Manoranjan P.
author_facet Sah, Deepak
Singh, Manoranjan P.
contents We investigate the finite-time behavior of pair production from the vacuum by a time-dependent Sauter pulsed electric field. By examining the temporal behavior of the single-particle distribution function, we observe oscillatory patterns in the longitudinal momentum spectrum of the particles at finite times. These oscillations arise due to quantum interference effects resulting from the various dynamical processes/channels leading to the creation of the (quasi-)particle of a given momentum. Furthermore, we derive an approximate and simplified analytical expression for the distribution function at finite times, allowing us to explain these oscillations' origin and behavior. The role of the vacuum polarization function and its counterterm are also discussed in this regard. The transverse momentum spectrum peaked at the nonzero value of the transverse momentum at finite times, which indicates the role of multiphoton transitions in the creation of quasiparticles.
format Preprint
id arxiv_https___arxiv_org_abs_2309_12079
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Pair Production in time-dependent Electric field at Finite times
Sah, Deepak
Singh, Manoranjan P.
High Energy Physics - Phenomenology
Other Condensed Matter
High Energy Physics - Theory
Plasma Physics
Quantum Physics
We investigate the finite-time behavior of pair production from the vacuum by a time-dependent Sauter pulsed electric field. By examining the temporal behavior of the single-particle distribution function, we observe oscillatory patterns in the longitudinal momentum spectrum of the particles at finite times. These oscillations arise due to quantum interference effects resulting from the various dynamical processes/channels leading to the creation of the (quasi-)particle of a given momentum. Furthermore, we derive an approximate and simplified analytical expression for the distribution function at finite times, allowing us to explain these oscillations' origin and behavior. The role of the vacuum polarization function and its counterterm are also discussed in this regard. The transverse momentum spectrum peaked at the nonzero value of the transverse momentum at finite times, which indicates the role of multiphoton transitions in the creation of quasiparticles.
title Pair Production in time-dependent Electric field at Finite times
topic High Energy Physics - Phenomenology
Other Condensed Matter
High Energy Physics - Theory
Plasma Physics
Quantum Physics
url https://arxiv.org/abs/2309.12079