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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

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 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

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

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

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

The spontaneous loss of angular momentum of a spinning cosmic string due to particle emission is discussed. The rate of particle production between two assymptotic spacetimes: the spinning cosmic string spacetime in the infinite past and a…

General Relativity and Quantum Cosmology · Physics 2014-11-17 V. A. De Lorenci , R. De Paola , N. F. Svaiter

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 study the formation of gravitating global strings through quantum mechanical tunneling. The instantons that describe the nucleation process are characterized by two parameters: the string core thickness and its gravitational backreaction…

General Relativity and Quantum Cosmology · Physics 2024-11-01 Jose J. Blanco-Pillado , Georgios Fanaras , Alexander Vilenkin

In a previous paper [1], it was shown that the worldline expression for the nonperturbative imaginary part of the QED effective action can be approximated by the contribution of a special closed classical path in Euclidean spacetime, known…

High Energy Physics - Theory · Physics 2008-11-26 Gerald V. Dunne , Holger Gies , Christian Schubert , 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

We study the instantons describing the production of particles at the ends of codimension-one objects (strings and struts) in $(2+1)$-dimensional Minkowski and de Sitter spaces. A Minkowskian background allows only for systems with…

General Relativity and Quantum Cosmology · Physics 2019-11-18 Liam O'Brien , Lorenzo Sorbo

We perform a first principles computation of the spectrum of gravity waves produced in open inflationary universes. The background spacetime is taken to be the continuation of an instanton saddle point of the Euclidean no boundary path…

Astrophysics · Physics 2009-10-31 Thomas Hertog , Neil Turok

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 compare the effects of timelike, lightlike and spacelike one-dimensional inhomogeneities on the probability of nonperturbative pair production in strong fields. Using interpolating coordinates we give a unifying picture in which the…

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

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 analyse the properties of a fluid generating a spinning cosmic string spacetime with flat limiting cases corresponding to a constant angular momentum in the infinite past and static configuration in the infinite future. The spontaneous…

General Relativity and Quantum Cosmology · Physics 2014-11-17 V. A. De Lorenci , R. D. M. De Paola , N. F. Svaiter

Instantons play a crucial role in understanding non-perturbative dynamics in quantum field theories, including those with spontaneously broken gauge symmetries. In the broken phase, finite-size instanton-like configurations are no longer…

High Energy Physics - Theory · Physics 2026-04-06 Takafumi Aoki , Masahiro Ibe , Satoshi Shirai

We revisit gravitational particle production from the Stokes phenomenon viewpoint, which helps us make a systematic way to understand asymptotic behavior of mode functions in time-dependent background. One of our purposes of this work is to…

High Energy Physics - Theory · Physics 2021-05-13 Soichiro Hashiba , Yusuke Yamada
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