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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 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

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

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

The phase-integral and worldline-instanton methods are two widely used methods to calculate Schwinger pair-production densities in electric fields of fixed direction that depend on just one time or space coordinate in the same fixed plane…

High Energy Physics - Theory · Physics 2019-04-23 Sang Pyo Kim , Don N. Page

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

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 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

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 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 show how to use a worldline-instanton formalism to calculate, to leading order in the weak-field expansion, the momentum spectrum of nonlinear Breit-Wheeler pair production in fields that depend on time and one spatial coordinate. We…

High Energy Physics - Phenomenology · Physics 2023-12-29 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 study nonperturbative pair production in electric fields with lightlike inhomogeneities, using complex worldline instantons. We show that the instanton contribution to the pair production probability is a complex contour integral over…

High Energy Physics - Theory · Physics 2015-07-09 Anton Ilderton , Greger Torgrimsson , Jonatan Wårdh

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

In the presence of an electromagnetic background plane-wave field, electron, positron, and photon states are not stable, because electrons and positrons emit photons and photons decay into electron-positron pairs. This decay of the particle…

High Energy Physics - Phenomenology · Physics 2025-02-11 Tobias Podszus , Victor Dinu , Antonino Di Piazza

We present the results of an explicit numerical computation of a novel instanton in Georgi-Glashow SU(2) theory. The instanton is physically relevant as a mediator of Schwinger production of 't Hooft-Polyakov magnetic monopoles from strong…

High Energy Physics - Theory · Physics 2021-07-07 David L. -J. Ho , Arttu Rajantie

The imaginary part of the one loop effective action in external backgrounds can be efficiently computed using worldline instantons which are closed periodic paths in spacetime. Exact solutions for nonstatic backgrounds are only known in…

High Energy Physics - Theory · Physics 2022-12-22 Abram Akal

The Schwinger effect in the presence of instantons is considered in this paper. Using AdS/CFT correspondence in the near horizon limit of the D3+D($-1$)-brane background, we calculate the total potential of a quark-antiquark pair in an…

High Energy Physics - Theory · Physics 2018-03-15 Leila Shahkarami , Majid Dehghani , Parvin Dehghani
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