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Non-perturbative quantum time evolution on the light-front

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arxiv 1309.5338 v1 pith:PJYITBPU submitted 2013-09-20 nucl-th hep-phhep-th

Xingbo Zhao , Anton Ilderton , Pieter Maris , James P. Vary This is my paper · ORCID
classification nucl-thhep-phhep-th
keywords timeapproachelectronelectron-photonevolutionfieldlight-frontquantum
verification ladder T0 review T1 audit T2 compute T3 formal
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This paper introduces "time-dependent basis light-front quantization", which is a covariant, nonperturbative, and first principles numerical approach to time-dependent problems in quantum field theory. We demonstrate this approach by evaluating photon emission from an electron in a strong, time and space dependent external field. We study the acceleration of the electron in combination with the evolution of the invariant mass of the electron-photon system, in real time and at the amplitude level. Successive excitations of the electron-photon system are evident.

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