Kinetic Approach to Pair Production in Strong Fields—Two Lessons for Applications to Heavy-Ion Collisions
Institute of Theoretical Physics, University of Wrocław, 50–204 Wrocław, Poland
Bogoliubov Laboratory for Theoretical Physics, JINR Dubna, 141980 Dubna, Russia
Department of Theoretical Nuclear Physics, National Research Nuclear University (MEPhI), 115409 Moscow, Russia
Helmholtz–Zentrum Dresden–Rossendorf, D-01314 Dresden, Germany
Institut für Theoretische Physik, TU Dresden, D-01062 Dresden, Germany
Author to whom correspondence should be addressed.
Received: 19 December 2018 / Revised: 3 March 2019 / Accepted: 18 March 2019 / Published: 1 April 2019
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The kinetic-equation approach to particle production in strong, time-dependent external fields is revisited and three limiting cases are discussed for different field patterns: the Sauter pulse, a harmonic pulse with a Gaussian envelope, and a Poisson-distributed stochastic field. It is shown that for transient subcritical electric fields
a finite residual particle number density
would be absent if the field-dependence of the dynamical phase in the Schwinger source term would be neglected. In this case the distribution function of created particles follows the law
. Two lessons for particle production in heavy-ion collisions are derived from this exercise. First: the shorter the (Sauter-type) pulse, the higher the residual density of produced particles. Second: although the Schwinger process in a string-type field produces a non-thermal particle spectrum, a Poissonian distribution of the (fluctuating) strings produces a thermal spectrum with an apparent temperature that coincides with the Hawking–Unruh temperature for the mean value of the string tension.
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Blaschke, D.B.; Juchnowski, L.; Otto, A. Kinetic Approach to Pair Production in Strong Fields—Two Lessons for Applications to Heavy-Ion Collisions. Particles 2019, 2, 166-179.
Blaschke DB, Juchnowski L, Otto A. Kinetic Approach to Pair Production in Strong Fields—Two Lessons for Applications to Heavy-Ion Collisions. Particles. 2019; 2(2):166-179.
Blaschke, David B.; Juchnowski, Lukasz; Otto, Andreas. 2019. "Kinetic Approach to Pair Production in Strong Fields—Two Lessons for Applications to Heavy-Ion Collisions." Particles 2, no. 2: 166-179.
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