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We show how to use the worldline-instanton formalism to calculate the momentum spectrum of the electron-positron pairs produced by an electric field that depends on both space and time. Using the LSZ reduction formula with a worldline…

High Energy Physics - Phenomenology · Physics 2023-04-05 Gianluca Degli Esposti , Greger Torgrimsson

Schwinger pair production in some of space-dependent electromagnetic fields is studied analytically by using worldline instantons formalism for scalar quantum electrodynamics. With the increase of the modified Keldysh parameter…

High Energy Physics - Phenomenology · Physics 2022-10-26 Orkash Amat , Li-Na Hu , Adiljan Sawut , Melike Mohamedsedik , M. A. Bake , B. S. Xie

We extend the worldline instanton technique to compute the vacuum pair production rate for spatially inhomogeneous electric background fields, with the spatial inhomogeneity being genuinely two or three dimensional, both for the magnitude…

High Energy Physics - Theory · Physics 2008-11-26 Gerald V. Dunne , Qing-hai Wang

Worldline instantons have previously been used to study the probability of Schwinger pair production (both the exponential and pre-exponential parts) and photon-stimulated pair production (the exponential part). Previous studies obtained…

High Energy Physics - Phenomenology · Physics 2022-06-08 Gianluca Degli Esposti , Greger Torgrimsson

In the space-dependent gauge, each mode of the Klein-Gordon equation in a strong electric field takes the form of a time-independent Schr\"{o}dinger equation with a potential barrier. We propose that the single- and multi-instantons of…

High Energy Physics - Theory · Physics 2009-10-31 Sang Pyo Kim , Don N. Page

We show how to do semiclassical nonperturbative computations within the worldline approach to quantum field theory using ``worldline instantons''. These worldline instantons are classical solutions to the Euclidean worldline loop equations…

High Energy Physics - Theory · Physics 2009-11-11 Gerald V. Dunne , Christian Schubert

We develop a worldline-instanton approach for calculating the momentum spectrum of particles produced by gravitational fields which depend on both space and time. The instantons are open. The middle part is complex and describes the…

High Energy Physics - Theory · Physics 2025-08-05 Philip Semrén , Greger Torgrimsson

Reformulating the instantons in a complex plane for tunneling or transmitting states, we calculate the pair-production rate of charged fermions in a spatially localized electric field, illustrated by the Sauter electric field E_0 sech^2…

High Energy Physics - Theory · Physics 2008-11-26 Sang Pyo Kim , Don N. Page

We present an analytic calculation of the semiclassical electron-positron pair creation rate by time-dependent electrical fields. We use two methods, first the imaginary time method in the WKB-approximation and second the world-line…

High Energy Physics - Theory · Physics 2014-08-29 Eckhard Strobel , She-Sheng Xue

I shortly review the worldline instanton method for calculating Schwinger pair production rates in (i) one-loop QED (ii) multiloop QED and (iii) one-loop open string theory.

High Energy Physics - Theory · Physics 2015-05-27 Christian Schubert

We compute Schwinger pair production rates at finite temperature, in the presence of homogeneous, concurrent electric and magnetic fields. Expressions are obtained using the semiclassical worldline instanton formalism, to leading order, for…

High Energy Physics - Theory · Physics 2019-04-01 Mrunal Korwar , Arun M. Thalapillil

We show how to do semiclassical nonperturbative computations within the worldline approach to quantum field theory using ``worldline instantons''. These worldline instantons are classical solutions to the Euclidean worldline loop equations…

High Energy Physics - Phenomenology · Physics 2011-07-19 Gerald V. Dunne , Christian Schubert

We consider the Schwinger production of baryons in an external electric field in the worldline instanton approach. The process occurs in the confinement regime hence the holographic QCD and the Chiral Lagrangian are used as the tools. The…

High Energy Physics - Theory · Physics 2023-12-08 Alexander Gorsky , Arseniy Pikalov

Schwinger pair production in spatially and temporally inhomogeneous electric and magnetic fields is studied. The focus is on the particle phase-space distribution within a high-intensity few-cycle pulse. Accurate numerical solutions of a…

Quantum Physics · Physics 2018-06-26 Christian Kohlfürst

Electric flux may be screened by pair nucleation of heavy charges, a process that has a simple description in terms of a worldline instanton. When flux is wrapped around a small compact spatial dimension, worldline instantons still induce…

High Energy Physics - Theory · Physics 2019-01-02 Patrick Draper

A detailed study of the semiclassical expansion of the world line path integral for a charged relativistic particle in a constant external electric field is presented. We show that the Schwinger formula for charged particle pair production…

High Energy Physics - Theory · Physics 2017-10-11 James Gordon , Gordon W. Semenoff

We present a simple proof that the imaginary part of the world-line path integral which computes the rate of Schwinger pair production of charged particles in a constant electric field, is given exactly by the semiclassical WKB limit.

High Energy Physics - Theory · Physics 2017-10-11 James Gordon , Gordon W. Semenoff

Charged particles in static electric and magnetic fields have Landau levels and tunneling states from the vacuum. Using the instanton method of Phys. Rev. D 65, 105002 (2002), we obtain the formulae for the pair-production rate in spinor…

High Energy Physics - Theory · Physics 2011-07-18 Sang Pyo Kim , Don N. Page

The semiclassical approximation of the worldline path integral is a powerful tool to study nonperturbative electron-positron pair creation in spacetime-dependent background fields. Finding solutions of the classical equations of motion,…

High Energy Physics - Theory · Physics 2018-10-17 Christian Schneider , Greger Torgrimsson , Ralf Schützhold

We demonstrate that the positive frequency modes for a complex scalar field in a constant electric field (Schwinger modes), in three different gauges, can be represented as exact Lorentzian worldline path integral amplitudes. Although the…

High Energy Physics - Theory · Physics 2021-11-23 Karthik Rajeev
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