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Description
In the theory of the vacuum particle creation in strong fields (Sauter-Schwinger effect) a small number of exactly solvable models acts as benchmarks [1]. In this respect, the nonperturbative kinetic theory methods also hold a prominent place. The analysis performed below is restricted by a class of the quantum kinetic equations of the Vlasov type in the strong electric fields (e. g., [2,3]).
The idea about connection between these methods of description of the quantum field systems in the states far from equilibrium was discussed long ago [4].
In the present work this connection is considered in details in the frameworks of the well-known approaches in the SFQED [5] and the graphene [6,7]. The both theories lead to the single-valued results in the cases of the model time dependent electric fields leading to the exact solutions of the problem, Such stability of the results is in a sense verification of the nonperturbative kinetic theory in
SFQED (in contrast with the alternative kinetic theory [8-10]).
References
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Eur. Phys. J. Special Topics, 229. 3469 (2020); arXiv:2004.02179 [hep-ph].
3. A. Fedotov, A. Ilderton, F. Karbstein, B. King, D. Seipt, H. Taya, G. Torgrimsson, Phys. Rep. 1010, 1 (2023).
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