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In this paper we will show that photon-photon collision experiments using extreme lasers can provide measurable effects giving fundamental information about the essence of QED, its Lagrangian. A possible scenario with two counterpropagating…

A non-perturbative quantization of a paraxial electromagnetic field is achieved via a generalized dispersion relation imposed on the longitudinal and the transverse components of the photon wave vector. The theoretical formalism yields a…

Quantum Physics · Physics 2013-05-29 A. Aiello , J. P. Woerdman

We demonstrate that tailored laser beams provide a powerful means to make quantum vacuum signatures in strong electromagnetic fields accessible in experiment. Typical scenarios aiming at the detection of quantum vacuum nonlinearities at the…

Quantum Physics · Physics 2020-06-23 Felix Karbstein , Elena A. Mosman

We derive focused laser pulse solutions to the electromagnetic wave equation in vacuum. After reproducing beam and pulse expressions for the well-known paraxial Gaussian and axicon cases, we apply the method to analyse a laser beam with…

Optics · Physics 2018-01-17 W. J. Waters , B. King

We consider strong-field effects in laboratory and astrophysical plasmas and high intensity laser and cavity systems. Current state-of-the-art laser facilities are close to reaching energy scales at which quantum electrodynamics will play a…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Marklund , P. K. Shukla

We present a new class of exact nonsingular solutions for the Maxwell equations in vacuum, which describe the electromagnetic field of the counterpropagating focused laser beams and the subperiod focused laser pulse. These solutions are…

The process of photon-photon scattering in vacuum is investigated analytically in the long-wavelength limit within the framework of the Euler-Heisenberg Lagrangian. In order to solve the nonlinear partial differential equations (PDEs)…

Plasma Physics · Physics 2019-08-21 Francesco Pegoraro , Sergei V. Bulanov

Quantum vacuum experiments are becoming a flexible tool for investigating fundamental physics. They are particularly powerful for searching for new light but weakly interacting degrees of freedom and are thus complementary to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Holger Gies

The classical nonlinear laser-plasma interaction theory is corrected. Given the effects of vacuum polarization (induced by extreme laser) as nonlinear media response, one-dimensional wave equations of a monochromatic laser field are derived…

Plasma Physics · Physics 2015-06-15 Wenbo Chen , Zhigang Bu , Hehe Li , Yuee Luo , Peiyong Ji

Converging cylindrical electromagnetic fields in vacuum have been shown (E. I. Zababakhin, M. N. Nechaev, {\it Soviet Physics JETP}, {\bf 6}, 345 (1958)) to exhibit amplitude "cumulation". It was found that the amplitude of self-similar…

Plasma Physics · Physics 2020-04-20 F. Pegoraro , S. V. Bulanov

We show that coherent harmonic focusing provides an efficient mechanism to boost all-optical signatures of quantum vacuum nonlinearity in the collision of high-intensity laser fields, thereby offering a promising route to their first…

High Energy Physics - Phenomenology · Physics 2020-07-28 Felix Karbstein , Alexander Blinne , Holger Gies , Matt Zepf

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

We aim at insights about how localization of the background field impacts nonlinear quantum vacuum signatures probed by photons in purely magnetic, electric and crossed fields. The starting point of our study are the one-loop results for…

High Energy Physics - Phenomenology · Physics 2025-01-10 Carl Marmier , Nico Seegert , Felix Karbstein

The invention of laser immediately enabled us to detect nonlinearities of photon interaction in matter, as manifested for example by Franken et al.'s detection of second harmonic generation and the excitation of the Brillouin forward…

Quantum Physics · Physics 2010-06-24 Kensuke Homma , Dieter Habs , Toshiki Tajima

We attempt to evaluate the effective Lagrangian for a classical background field interacting with the vacuum of two quantum fields. The integration of one of the quantum fields in general leads to a non-local term in the effective…

High Energy Physics - Theory · Physics 2007-05-23 K. V. Shajesh

Starting from the Heisenberg-Euler effective Lagrangian, we determine the photon current and photon polarization tensor in inhomogeneous, slowly varying electromagnetic fields. To this end, we consider background field configurations…

High Energy Physics - Phenomenology · Physics 2022-06-02 Felix Karbstein , Rashid Shaisultanov

The tremendous progress in high-intensity laser technology and the establishment of dedicated high-field laboratories in recent years have paved the way towards a first observation of quantum vacuum nonlinearities at the high-intensity…

High Energy Physics - Phenomenology · Physics 2018-04-11 Holger Gies , Felix Karbstein , Christian Kohlfürst , Nico Seegert

We study multi-parameter solutions of the inhomogeneous paraxial wave equation in a linear and quadratic approximation which include oscillating laser beams in a parabolic waveguide, spiral light beams, and other important families of…

Optics · Physics 2015-10-20 Christoph Koutschan , Erwin Suazo , Sergei K. Suslov

The fundamental theory of quantum electrodynamics predicts the vacuum to resemble a polarizable medium. This gives rise to effective nonlinear interactions between electromagnetic fields and light-by-light scattering phenomena. We study the…

High Energy Physics - Phenomenology · Physics 2022-12-28 Holger Gies , Felix Karbstein , Leonhard Klar

We present a short review of recent progress in studying QED effects of interaction of ultra-relativistic laser pulses with vacuum and $e^-e^+$ plasma. The development of laser technologies promises very rapid growth of laser intensities in…

Plasma Physics · Physics 2015-06-18 N. B. Narozhny , A. M. Fedotov