TY - JOUR
T1 - Peculiarities of Pair Creation by a Peak Electric Field
AU - Adorno, T. C.
AU - Gavrilov, S. P.
AU - Gitman, D. M.
AU - Ferreira, R.
N1 - Publisher Copyright:
© 2017, Springer Science+Business Media, LLC.
PY - 2017/7/1
Y1 - 2017/7/1
N2 - Exact, numerical, and asymptotic calculations concerning the vacuum instability by the so-called peak electric field are explored in detail. Peculiarities discussed in this article are complementary to those published recently by us in Eur. Phys. J. C, 76, p. 447 (2016), in which the effect was studied in the framework of QED with t -electric potential steps. To discuss features beyond the asymptotic regime, we present numerical details of exact and asymptotic expressions inherent to the peak field and discuss differential and total quantities. The results show wider distributions, with respect to the longitudinal momentum, as the phases k1 and k2 of the electric field decrease and larger distributions as the amplitude E increases. Moreover, the total density of pairs created decreases as k1 and k2 increase, its dependence being proportional to k1−1 and k2−1. The latter result is more accurate as k1 and k2 decrease and confirms, in particular, our asymptotic estimates obtained previously.
AB - Exact, numerical, and asymptotic calculations concerning the vacuum instability by the so-called peak electric field are explored in detail. Peculiarities discussed in this article are complementary to those published recently by us in Eur. Phys. J. C, 76, p. 447 (2016), in which the effect was studied in the framework of QED with t -electric potential steps. To discuss features beyond the asymptotic regime, we present numerical details of exact and asymptotic expressions inherent to the peak field and discuss differential and total quantities. The results show wider distributions, with respect to the longitudinal momentum, as the phases k1 and k2 of the electric field decrease and larger distributions as the amplitude E increases. Moreover, the total density of pairs created decreases as k1 and k2 increase, its dependence being proportional to k1−1 and k2−1. The latter result is more accurate as k1 and k2 decrease and confirms, in particular, our asymptotic estimates obtained previously.
KW - Dirac equation
KW - QED with external fields
KW - particle creation
UR - http://www.scopus.com/inward/record.url?scp=85023188081&partnerID=8YFLogxK
U2 - 10.1007/s11182-017-1090-y
DO - 10.1007/s11182-017-1090-y
M3 - Article
AN - SCOPUS:85023188081
SN - 1064-8887
VL - 60
SP - 417
EP - 426
JO - Russian Physics Journal
JF - Russian Physics Journal
IS - 3
ER -