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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 use a worldline-instanton formalism to study the momentum spectrum of Schwinger pair production in spacetime fields with multiple stationary points. We show that the interference structure changes fundamentally when going from purely…

High Energy Physics - Phenomenology · Physics 2025-08-18 Gianluca Degli Esposti , Greger Torgrimsson

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

Via the worldline instanton method, we study electron-positron pair creation by a strong electric field of the profile $E/\cosh^2(kx)$ superimposed by a weaker pulse $E'/\cosh^2(\omega t)$. If the temporal Keldysh parameter…

High Energy Physics - Theory · Physics 2016-03-08 Christian Schneider , Ralf Schützhold

The process of electron-positron pair production is investigated within the phase-space Wigner formalism. The similarities between atomic ionization and pair production for homogeneous, but time-dependent linearly polarized electric fields…

High Energy Physics - Phenomenology · Physics 2015-12-21 Christian Kohlfürst

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 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

We present a method of measuring expectation values of quadrature moments of a multimode field through two-level probe ``homodyning''. Our approach is based on an integral transform formalism of measurable probe observables, where…

Quantum Physics · Physics 2009-11-11 P. Lougovski , H. Walther , E. Solano

Electron-positron pair production in spatially and temporally inhomogeneous electric and magnetic fields is studied within the Dirac-Heisenberg-Wigner formalism (quantum kinetic theory) through computing the corresponding Wigner functions.…

High Energy Physics - Phenomenology · Physics 2020-05-13 Christian Kohlfürst

We evaluate imaginary time density-density correlation functions for a two-dimensional homogeneous electron gas using the phaseless auxiliary field quantum Monte Carlo method. We show that such methodology, once equipped with suitable…

Strongly Correlated Electrons · Physics 2015-09-04 M. Motta , D. E. Galli , S. Moroni , E. Vitali

Using the phase-space formulation of quantum mechanics, we derive a four-component Wigner equation for a system composed of spin-1/2 fermions (typically, electrons) including the Zeeman effect and the spin-orbit coupling. This Wigner…

Mesoscale and Nanoscale Physics · Physics 2017-04-12 Jerome Hurst , Paul-Antoine Hervieux , Giovanni Manfredi

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

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

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

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

The bound-free channel of electron-positron pair production by a highly charged bare ion in the presence of a strong constant crossed electromagnetic field is studied. To calculate the pair production rate, two different methods are applied…

Atomic Physics · Physics 2025-12-12 S. Remme , A. Eckey , S. Villalba-Chávez , A. B. Voitkiv , C. Müller

We present a phase-integral formulation of dynamically assisted Schwinger pair production of scalar charges to find the pair production density under a strong low-frequency field and a weak high-frequency field. The leading WKB action was…

High Energy Physics - Phenomenology · Physics 2021-09-22 Chul Min Kim , Alexander Fedotov , Sang Pyo Kim

We consider instanton-induced high energy processes in an electroweak-type model. Multi-fermion final states are taken into account in Gauss approximation. Unlike previous results we calculate nonzero fermion modes contribution to…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. G. Shulyakovsky

Pair production due to the Schwinger mechanism is modeled in a self-consistent approach taking into account the backreaction of the created particles on the field. The model uses the Boltzmann kinetic equation for the electrons and…

Plasma Physics · Physics 2011-03-09 Alexander Tarasenko

Magnetic monopoles may be produced by the Schwinger effect in the strong magnetic fields of peripheral heavy-ion collisions. We review the form of the electromagnetic fields in such collisions and calculate from first principles the cross…

High Energy Physics - Theory · Physics 2019-08-07 Oliver Gould , David L. -J. Ho , Arttu Rajantie