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A spatially homogeneous, time-dependent, electric field can produce charged particle pairs from the vacuum. When the electric field is constant, the mean number of pairs which are produced depends on the electric field and the coupling…

General Relativity and Quantum Cosmology · Physics 2018-10-26 Karthik Rajeev , Sumanta Chakraborty , T. Padmanabhan

We investigate Scattering amplitudes of the reversible $\theta$-exact Seiberg-Witten (SW) map based noncommutative (NC) quantum electrodynamics, and show explicitly the SW map invariance for all tree-level NCQED $2\to2$ proceses, including…

High Energy Physics - Phenomenology · Physics 2024-07-23 Duško Latas , Josip Trampetić , Jiangyang You

Previous results for the pair production probability in a strong electric field with a finite longitudinal separation are generalized to the case of a finite-length flux tube with transverse confinement. The threshold length of the flux…

High Energy Physics - Phenomenology · Physics 2009-10-28 Cheuk-Yin Wong , Ren-Chuan Wang , Jian-Shi Wu

We present a significant improvement to a time-dependent WKB (TDWKB) formulation developed by Boiron and Lombardi [JCP {\bf108}, 3431 (1998)] in which the TDWKB equations are solved along classical trajectories that propagate in the complex…

Quantum Physics · Physics 2009-11-13 Yair Goldfarb , Jeremy Schiff , David J Tannor

We apply several methods related to the WKB approximation to study cosmological perturbations during inflation, obtaining the full power spectra of scalar and tensor perturbations to first and to second order in the slow-roll parameters. We…

General Relativity and Quantum Cosmology · Physics 2007-05-28 Mattia Luzzi

The particle creation via quantum tunneling was recently calculated for the Schwarzschild non-commutative black hole solution in Ref. [Phys. Lett. B 848 (2024) 138335, e-Print: 2310.02445 [gr-qc]]. Nevertheless, it contains inconsistencies…

General Relativity and Quantum Cosmology · Physics 2025-08-01 A. A. Araújo Filho , Iarley P. Lobo

We provide a pedagogical review of the Schwinger effect, i.e., the non-perturbative production of particle and anti-particle pairs from the vacuum by strong fields, as well as related strong-field phenomena. Beginning with an overview of…

High Energy Physics - Phenomenology · Physics 2026-03-10 Hidetoshi Taya

We compute the effective action of QED at one loop order for an electric field which points in the $\hat{z}$ direction and depends arbitrarily upon the light cone time coordinate, $x^+ = (x^0 + x^3)/\sqrt{2}$. This calculation generalizes…

High Energy Physics - Theory · Physics 2009-11-07 H. M. Fried , R. P. Woodard

We discuss the implications of the eikonal amplitude on the pair production probability in ultrarelativistic heavy-ion transits. In this context the Weizs\"acker-Williams method is shown to be exact in the ultrarelativistic limit,…

Nuclear Theory · Physics 2008-11-26 U. Eichmann , J. Reinhardt , W. Greiner

This paper is concerned with the efficient numerical computation of solutions to the 1D stationary Schr\"odinger equation in the semiclassical limit in the highly oscillatory regime. A previous approach to this problem based on explicitly…

Numerical Analysis · Mathematics 2019-11-05 A. Arnold , C. Klein. B. Ujvari

In a four dimensional inflation theory, a persistent electric field can be established by making the inflaton coupled to the gauge field like a dilaton. We investigate the pair production of scalar particles in the inflaton-driven electric…

High Energy Physics - Theory · Physics 2018-11-14 Hiroyuki Kitamoto

As long as we neglect backreaction, the Hawking temperature of a given black hole would not depend upon the parameters of the particle species we are considering. In the semiclassical complex path analysis approach of Hawking radiation,…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Sourav Bhattacharya

It was found recently that tunneling probabilities over a barrier is roughly twice as large as that given by standard WKB formula. Here we explained how this come from and showed that WKB method does give a good approximation over almost…

Plasma Physics · Physics 2011-06-07 Chung-Sang Ng

The production of particle-antiparticle pairs from the quantum field theoretic ground state in the presence of an external electric field is studied. Starting with the quantum kinetic Boltzmann-Vlasov equation in four-dimensional spacetime,…

High Energy Physics - Phenomenology · Physics 2016-12-26 Ibrahim Akal , Reinhold Egger , Carsten Müller , Selym Villalba-Chávez

Recent studies of Schwinger pair production have demonstrated that the asymptotic particle spectrum is extremely sensitive to the applied field profile. We extend the idea of the dynamically assisted Schwinger effect from single pulse…

High Energy Physics - Phenomenology · Physics 2014-11-14 Florian Hebenstreit , François Fillion-Gourdeau

Particle production due to external fields (electric, chromo-electric or gravitational) requires evolving an initial state through an interaction with a time-dependent background, with the rate being computed from a Bogoliubov…

High Energy Physics - Theory · Physics 2010-11-11 Cesim K. Dumlu , Gerald V. Dunne

Particle detectors are an ubiquitous tool for probing quantum fields in the context of relativistic quantum information (RQI). We formulate the Unruh-DeWitt (UDW) particle detector model in terms of the path integral formalism. The…

High Energy Physics - Theory · Physics 2021-03-12 I. M. Burbano , T. Rick Perche , Bruno de S. L. Torres

We consider an elastic medium with a disclination and investigate the topological effects on the interaction of a spinless electron with radial electric fields through the WKB (Wentzel, Kramers, Brillouin) approximation. We show how the…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Knut Bakke , Claudio Furtado

We investigate non-perturbative pair production from vacuum (the Schwinger effect) in the focal region of two counter-propagating, ultra-short laser pulses with sub-cycle structure. We use the quantum kinetic formulation to calculate the…

High Energy Physics - Phenomenology · Physics 2017-08-23 Florian Hebenstreit , Reinhard Alkofer , Gerald V. Dunne , Holger Gies

We semiclassically investigate Schwinger pair production for pulsed rotating electric fields depending on time. To do so we solve the Dirac equation for two-component fields in a WKB-like approximation. The result shows that for…

High Energy Physics - Theory · Physics 2015-03-05 Eckhard Strobel , She-Sheng Xue