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Four-dimensional quaternion-Kaehler metrics with an isometry are determined by solutions to the SU($\infty$) Toda equation. We set up a perturbation theory to construct approximate solutions to the latter which can be interpreted as…

High Energy Physics - Theory · Physics 2014-09-02 Ulrich Theis

A method is proposed for producing monoergetic, high-quality ion beams in vacuum, via direct acceleration by the electromagnetic field of two counterpropagating, variable-frequency lasers: ions are trapped and accelerated by a beat-wave…

Plasma Physics · Physics 2009-05-29 F. Peano , J. Vieira , R. A. Fonseca , R. Mulas , G. Coppa , L. O. Silva

The path-integral approach to the double well has long been limited by the dilute instanton gas approximation. We show that if the finite Euclidean-time structure is taken seriously by using exact saddles, the dilute gas can be sidestepped,…

High Energy Physics - Theory · Physics 2026-04-17 Aurélien Dersy , Matthew D. Schwartz

The influence of nonperturbative fields on instantons in quantum chromodynamics is studied. Effective action for instanton is derived in bilocal approximation and it is demonstrated that stochastic background gluon fields are responsible…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. O. Agasian , S. M. Fedorov

We investigate the process of Abelian pair production in the presence of strong inhomogeneous and time-dependent external electric fields. The spatial dependence of the external field is motivated by a non-Abelian color flux tube in…

High Energy Physics - Phenomenology · Physics 2014-01-03 Dániel Berényi , Sándor Varró , Vladimir V. Skokov , Péter Lévai

We investigate the quantum kinetic approach to pair production from vacuum by time-dependent electric field. Equivalence between this approach and the more familiar S-matrix approach is explicitly established for both scalar and fermion…

High Energy Physics - Phenomenology · Physics 2011-02-02 A. M. Fedotov , E. G. Gelfer , K. Yu. Korolev , S. A. Smolyansky

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

The development of the modern accelerator and free-electron laser projects requires to consider wake fields of very short bunches in arbitrary three dimensional structures. To obtain the wake numerically by direct integration is difficult,…

Atomic Physics · Physics 2009-11-11 Igor Zagorodnov

The worldline formalism offers an alternative framework to the standard diagrammatic approach in quantum field theory, grounded in first-quantized relativistic path integrals. Over recent decades, this formalism has attracted growing…

High Energy Physics - Theory · Physics 2025-05-08 Victor Miguel Banda Guzmán

The QED effective action encodes nonlinear interactions due to quantum vacuum polarization effects. While much is known for the special case of electrons in a constant electromagnetic field (the Euler-Heisenberg case), much less is known…

High Energy Physics - Theory · Physics 2009-10-31 Gerald V. Dunne

In strong field laser physics it is a common practice to use the high-order harmonic cutoff to estimate the laser intensity of the pulse that generates the harmonic radiation. Based on the semiclassical arguments it is possible to find a…

Atomic Physics · Physics 2015-06-11 T. Shaaran , M. F. Ciappina , M. Lewenstein

We study the fermion pair production from a strong electric field in boost-invariant coordinates in (3+1) dimensions and exploit the cylindrical symmetry of the problem. This problem has been used previously as a toy model for populating…

High Energy Physics - Phenomenology · Physics 2014-11-18 Bogdan Mihaila , Fred Cooper , John F. Dawson

Feynman diagrams in the instanton background are used for the calculation of the tunneling amplitude, up to the two-loops order. Some mistakes made in the previous works are corrected. The same method is applied to the next-order…

High Energy Physics - Phenomenology · Physics 2016-08-14 Christian F. Wöhler , Edward Shuryak

We present a first-principles, non-perturbative worldline instanton analysis of vacuum decay in the non-abelian Yang-Mills root of a Schwarzschild background. We recover the gauge theory color-thermal spectrum as a topological winding mode.…

High Energy Physics - Theory · Physics 2026-01-27 John Joseph M. Carrasco , Yaxi Chen , Nicolas H. Pavao , Aslan Seifi

We discuss non-perturbative effects in the ABJM model due to monopole instantons. We begin by constructing the instanton solutions in the $U(2)\times U(2)$ model, explicitly, and computing the Euclidean action. The Wick-rotated Lagrangian…

High Energy Physics - Theory · Physics 2011-06-02 Kazuo Hosomichi , Ki-Myeong Lee , Sangmin Lee , Sungjay Lee , Jaemo Park , Piljin Yi

Dirac-Heisenberg-Wigner formalism is used to study chirp effects on the vacuum pair creation under inhomogeneous electric fields. For rapidly oscillating electric fields, the particle momentum spectrum is sensitive to both of the spatial…

Quantum Physics · Physics 2020-10-07 Mamutjan Ababekri , Sayipjamal Dulat , B. S. Xie , Jun Zhang

We study the instanton calculus for N=4 super Yang-Mills theory in ten-dimensional Omega-background with the R-symmetry Wilson line gauge field. From the ADHM construction of instantons in the background, we obtain the deformed instanton…

High Energy Physics - Theory · Physics 2015-06-03 Katsushi Ito , Hiroaki Nakajima , Takuya Saka , Shin Sasaki

We calculate the rate for pair production of light pseudoscalars by strong inhomogeneous and static electric (magnetic) fields. We show that, in the case of axions, the stability of atoms over cosmic lifetimes is jeopardised unless the…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. A. Grifols , Eduard Masso , Subhendra Mohanty , K. V. Shajesh

We formulate a stochastic generalisation of the Schwinger effect, extending pair production to statistically fluctuating gauge-field backgrounds. Our approach captures realistic field configurations that are transient, inhomogeneous, and…

High Energy Physics - Theory · Physics 2026-03-11 Lucas Vicente García-Consuegra , Azadeh Maleknejad

We consider spatially averaged inhomogeneous universe models and argue that, already in the absence of sources, an effective scalar field arises through foliating and spatially averaging inhomogeneous geometrical curvature invariants of the…

General Relativity and Quantum Cosmology · Physics 2011-07-26 Thomas Buchert , Nathaniel Obadia