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High Energy Physics - Phenomenology

arXiv:2111.10894 (hep-ph)
[Submitted on 21 Nov 2021]

Title:Validity of the Semiclassical Approximation in 1+1 Electrodynamics: Numerical Solutions to the Linear Response Equation

Authors:Ian M. Newsome
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Abstract:From previous work arXiv:2010.09811, the semiclassical backreaction equation in 1+1 dimensions was solved and a criterion was implemented to assess the validity of the semiclassical approximation in this case. The criterion involves the behavior of solutions to the linear response equation which describes perturbations about solutions to the semiclassical backreaction equation. The linear response equation involves a time integral over a two-point correlation function for the current induced by the quantum field and it is expected that significant growth in this two-point function (and therefore in quantum fluctuations) will result in significant growth in solutions to the linear response equation. It was conjectured for early times that the difference of two nearby solutions to the semiclassical backreaction equation, with similar initial conditions, can act as an approximate solution to the linear response equation. A comparative analysis between the approximate and numerical solutions to the linear response equation, for the critical scale for particle production, will be presented for the case of a massive, quantized spin 1/2 field in order to determine how robust the approximation method is for representing its solutions.
Comments: 13 pages, 3 figures, 16th Marcel Grossman Meeting Conference Proceedings
Subjects: High Energy Physics - Phenomenology (hep-ph); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
Cite as: arXiv:2111.10894 [hep-ph]
  (or arXiv:2111.10894v1 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.2111.10894

Submission history

From: Ian Newsome [view email]
[v1] Sun, 21 Nov 2021 20:32:48 UTC (221 KB)
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