TY - JOUR
ID - 111349
TI - Schwinger Pair Creation by a Time-Dependent Electric Field in de Sitter Space with the Energy Density E_μ E^μ=E^2 a^2(τ)
JO - Mathematics Interdisciplinary Research
JA - MIR
LA - en
SN - 2538-3639
AU - Monemi, Fatemeh
AU - Zamani, Farhad
AD - Department of Physics, University of Kashan, 87317-53135, I. R. Iran
Y1 - 2021
PY - 2021
VL - 6
IS - 1
SP - 25
EP - 51
KW - Schwinger mechanism
KW - electromagnetic processes
KW - time-dependent electric field
KW - uniform asymptotic approximation
DO - 10.22052/mir.2020.204420.1167
N2 - We investigate Schwinger pair creation of charged scalar particles from a time-dependent electric field background in (1+3)-dimensional de Sitter spacetime. Since the field's equation of motion has no exact analytical solution, we employ emph{Olver's uniform asymptotic approximation method} to find its analytical approximate solutions. Depending on the value of the electric field $E$, and the particle's mass $m$, and wave vector $bfk$, the equation of motion has two turning points, whose different natures (real, complex, or double) lead to different pair production probability. More precisely, we find that for the turning points to be real and single, $m$ and $bfk$ should be small, and the more smaller are the easier to create the particles. On the other hand, when $m$ or $bfk$ is large enough, both turning points are complex, and the pair creation is exponentially suppressed. In addition, we study the pair creation in the weak electric field limit, and find that the semi-classical electric current responds as $E^{1-2sqrt{mu^2}}!left(1-ln Eright)$, where $mu^2=frac94-frac{mds^2}{H^2}$. Thus, below a critical mass $m_{mathrm{cr}}=sqrt{2} H$, the current exhibits the infrared hyperconductivity.
UR - https://mir.kashanu.ac.ir/article_111349.html
L1 - https://mir.kashanu.ac.ir/article_111349_7d53493d7e73d1843cedb566a01fb5dd.pdf
ER -