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From the Euler-Heisenberg formula we calculate the exact real part of the one-loop effective Lagrangian of Quantum Electrodynamics in a constant electromagnetic field, and determine its strong-field limit.

High Energy Physics - Theory · Physics 2008-11-26 Remo Ruffini , She-Sheng Xue

Motivated by the seminal work of Schwinger, we obtain explicit closed form expressions for the one-loop effective action in a constant electromagnetic field. We discuss both massive and massless charged scalars and spinors in two, three,…

High Energy Physics - Theory · Physics 2011-11-10 Steven K. Blau , Matt Visser , Andreas Wipf

The effective Lagrangian of arbitrary varying in space electromagnetic field in a dense medium is derived. It has been used for investigation of interaction between charged fermions in the medium. It is shown the possibility for the…

High Energy Physics - Theory · Physics 2009-10-28 V. V. Skalozub , A. Y. Tishchenko

We compute the electromagnetic field created by an ultrarelativistic charged particle in vacuum at distances comparable to the particle Compton wavelength. The wave function of the particle is governed by the Klein-Gordon equation, for a…

Nuclear Theory · Physics 2018-03-14 Balthazar Peroutka , Kirill Tuchin

We consider highly radiating ultra-relativistic electrons in a strong external electromagnetic field. High intensity radiative losses and consequent $e^+e^-$-pair production, appearing in the frame of quantum electrodynamics, determine…

High Energy Physics - Phenomenology · Physics 2022-05-18 P. V. Sasorov , M. Jirka , S. V. Bulanov

The one--loop effective action for a slowly varying electromagnetic field is computed at finite temperature and density using a real-time formalism. We discuss the gauge invariance of the result. Corrections to the Debye mass from an…

High Energy Physics - Theory · Physics 2009-10-28 Per Elmfors , Bo-Sture Skagerstam

In 1936, Weisskopf showed that for vanishing electric or magnetic fields the strong-field behavior of the one loop Euler-Heisenberg effective Lagrangian of quantum electro dynamics (QED) is logarithmic. Here we generalize this result for…

High Energy Physics - Theory · Physics 2013-08-08 Hagen Kleinert , Eckhard Strobel , She-Sheng Xue

We develop the idea that renormalization, decoupling of heavy particle effects from low energy physics and the construction of effective field theories are intimately linked to the momentum space entanglement of disparate modes of an…

High Energy Physics - Theory · Physics 2020-11-12 Bingzheng Han , Ratindranath Akhoury

The emission from an electron in the field of a relativistically strong laser pulse is analyzed. At the pulse intensities of \ge 10^{22} W/cm^2 the emission from counter-propagating electrons is modified by the effects of Quantum…

We carry out the first step of a program conceived, in order to build a realistic model, having the particle spectrum of the standard model and renormalized masses, interaction terms and couplings, etc. which include the class of quantum…

General Relativity and Quantum Cosmology · Physics 2009-10-28 A. Akhundov , S. Bellucci , A. Shiekh

Background fields of electromagnetic and gravitational type emerge in the low kinetic energy limit of any regular Lagrangian system and, in particular, in the corresponding limit of any spacetime theory in which the free motion of test…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Paolo Maraner

Upcoming experiments on the interaction of electrons with intense laser fields are envisaged to become more and more accurate, which calls for theoretical computations of rates and probabilities with correspondingly higher precision. In…

High Energy Physics - Phenomenology · Physics 2021-10-13 A. Di Piazza , T. Pătuleanu

We consider an interacting system of massless scalar and electromagnetic field, with the Lagrangian explicitly depending on the electromagnetic potentials, i.e., interaction with broken gauge invariance. The Lagrangian for interaction is…

General Relativity and Quantum Cosmology · Physics 2015-05-01 Yu. P. Rybakov , G. N. Shikin , Yu. A. Popov , Bijan Saha

These lectures introduce some of the basic ideas of effective field theories. The topics discussed include: relevant and irrelevant operators and scaling, renormalization in effective field theories, decoupling of heavy particles, power…

High Energy Physics - Phenomenology · Physics 2009-10-28 Aneesh V. Manohar

We present numerical calculations of the electron effective mass in an interacting, ferromagnetic, two-dimensional electron system. We consider quantum interaction effects associated with the charge-density fluctuation induced many-body…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Reza Asgari , T. Gokmen , B. Tanatar , Medini Padmanabhan , M. Shayegan

In the framework of non-relativistic QED, we show that the renormalized mass of the electron (after having taken into account radiative corrections) appears as the kinematic mass in its response to an external potential force. Specifically,…

Mathematical Physics · Physics 2018-03-28 Volker Bach , Thomas Chen , Jeremy Faupin , Juerg Froehlich , Israel Michael Sigal

We use a locally constant field approximation (LCFA) to study the one-loop Heisenberg-Euler effective action in a particular class of slowly varying inhomogeneous electric fields of Lorentzian shape with $0\leq d\leq 4$ inhomogeneous…

High Energy Physics - Phenomenology · Physics 2017-04-25 Felix Karbstein

The Euler-Heisenberg effective Lagrangian is used to obtain general expressions for electric and magnetic fields induced by non-linearity, to leading order in the non-linear expansion parameter, and for quasistatic situations. These…

High Energy Physics - Phenomenology · Physics 2015-05-13 C. A. Dominguez , H. Falomir , M. Ipinza , M. Loewe , J. C. Rojas

Starting from a theory of heavy particles and antiparticles, the path integral formulation of an effective field theory which describes the low momentum interactions is presented. The heavy degrees of freedom are identified and explicitly…

High Energy Physics - Phenomenology · Physics 2008-02-03 Clarence L. Lee

The emission from an electron in the field of a relativistically strong laser pulse is analyzed. At pulse intensities of J > 2 10^22 W/cm2 the emission from counter-propagating electrons is modified by the effects of Quantum ElectroDynamics…

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