https://doi.org/10.1140/epjd/s10053-022-00519-y
Regular Article – Ultraintense and Ultrashort Laser Fields
Schwinger pair production rate and time for some space-dependent fields via worldline instantons formalism
1
Key Laboratory of Beam Technology of the Ministry of Education, and College of Nuclear Science and Technology, Beijing Normal University, 100875, Beijing, China
2
Institute of Radiation Technology, Beijing Academy of Science and Technology, 100875, Beijing, China
3
State Key Laboratory for GeoMechanics and Deep Underground Engineering, China University of Mining and Technology, 100083, Beijing, China
4
School of Physics Science and Technology, Xinjiang University, 830046, Urumqi, Xinjiang, China
Received:
22
June
2022
Accepted:
27
September
2022
Published online:
10
October
2022
Schwinger pair production rate and time in some space-dependent fields are studied analytically by using the worldline instantons formalism. The instanton path, action, production rate, vacuum-decay time and tunneling time are obtained, which depend on the Keldysh parameter significantly. It is found that under a given field the instanton paths with different Keldysh parameter are exactly in the same plane. Moreover, the normalized instanton actions are all bounded within the region from 
to 
. We also find the relationship between vacuum-decay time and tunneling time.
Graphic abstract: Schwinger pair production rate and time in some space-dependent fields are studied analytically by using the worldline instantons formalism. The instanton path, action, production rate, vacuum-decay time and tunneling time are obtained, which depend on the Keldysh parameter significantly. It is found that under a given field the instanton paths with different Keldysh parameter are exactly in the same plane. Moreover, the normalized instanton actions are all bounded within the region from to . We also find the relationship between vacuum-decay time and tunneling time.
T.I. : High Field QED Physics. Guest editors: Francesco Pegoraro, David A. Reis, Gianluca Sarri, Tongpu Yu.
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