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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 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

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

This paper presents the derivation of Schwinger's gauge invariant result of $Im \cal{L}_{eff}$ upto one loop approximation, for particle production in an uniform electric field through the method of complex trajectory WKB approximation…

General Relativity and Quantum Cosmology · Physics 2016-12-21 S. Biswas , A. Shaw , B. Modak

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

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

Sauter-Schwinger pair creation in electromagnetic fields is a fundamental prediction of QED and one of the motivations for the present efforts in constructing super-strong lasers. I will give a historical review of the subject, and then…

High Energy Physics - Phenomenology · Physics 2024-06-21 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

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 describe in detail a physical situation in which instantons are necessarily complex, not just Wick rotations of classical solutions to Euclidean spacetime. These complex instantons arise in the semiclassical evaluation of vacuum pair…

High Energy Physics - Theory · Physics 2012-05-15 Cesim K. Dumlu , Gerald V. Dunne

We calculate the rate of thermal Schwinger pair production at arbitrary coupling in weak external fields. Our calculations are valid independently of many properties of the charged particles produced, in particular their spin and whether…

High Energy Physics - Theory · Physics 2017-10-11 Oliver Gould , Arttu Rajantie

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

The pair production of scalar particles in electromagnetic background fields is analyzed using real proper time formulation of 1-loop effective action. After explaining how real proper time formulation keeps unitarity of the particle…

High Energy Physics - Theory · Physics 2023-09-12 Cihan Pazarbaşı

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

We study the vacuum pair production by a time-dependent strong electric field based on the exact WKB analysis. We identify the generic structure of a Stokes graph for systems with the vacuum pair production and show that the number of…

High Energy Physics - Theory · Physics 2022-01-05 Hidetoshi Taya , Toshiaki Fujimori , Tatsuhiro Misumi , Muneto Nitta , Norisuke Sakai

Schwinger pair production is analyzed in a BPST instanton background and in its SL$(2,\mathbb{C})$ complex extension for complex scalar particles. A non-Abelian extension of the worldline instanton method is utilized, wherein Wong's…

High Energy Physics - Theory · Physics 2021-02-12 Patrick Copinger , Pablo Morales

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 revisit the problem of charged string pair creation in a constant external electric field. The string states are massive and creation of pairs from the vacuum is a tunnelling process, analogous to the Schwinger process where charged…

High Energy Physics - Theory · Physics 2018-06-13 James Gordon , Gordon W. Semenoff

Worldline instantons provide a particularly elegant way to derive Schwinger's well-known formula for the pair creation rate due to a constant electric field in quantum electrodynamics. In this note, we show how to extend this method to the…

High Energy Physics - Theory · Physics 2014-11-21 Christian Schubert , Alessandro Torrielli
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