SCHWINGER'S RESULT ON PARTICLE PRODUCTION FROM COMPLEX PATHS WKB APPROXIMATION
2000 ◽
Vol 15
(23)
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pp. 3717-3731
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Keyword(s):
This paper presents the derivation of Schwinger's gauge-invariant result of Im ℒ eff up to one loop approximation, for particle production in an uniform electric field through the method of complex trajectory WKB approximation (CWKB). The CWKB proposed by one of the authors1 looks upon particle production as being due to the motion of a particle in complex space–time plane, thereby requiring tunneling paths both in space and time. Recently2,3 there have been some efforts to calculate the reflection and the transmission coefficients for particle production in an uniform electric field that differ from our expressions for the same. In this paper we clarify the confusion in this regard and establish the correctness of CWKB.
2017 ◽
Vol 137
(9)
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pp. 551-552
2016 ◽
Vol 136
(4)
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pp. 193-199
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1997 ◽
Vol 117
(11)
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pp. 1109-1114
Keyword(s):
2008 ◽
Vol 128
(12)
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pp. 1445-1451
Keyword(s):
2014 ◽
Vol 989-994
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pp. 1273-1277