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Related papers: Derivative corrections to the Heisenberg-Euler eff…

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We find third-power nonlinear corrections to the Coulomb and other static electric fields, as well as to the electric and magnetic dipole fields, as we work within QED with no background field. The nonlinear response function we base our…

High Energy Physics - Theory · Physics 2013-10-30 Caio V. Costa , Dmitry M. Gitman , Anatoly E. Shabad

We show that in arbitrary even dimension, the two-loop scalar QED Heisenberg-Euler effective action can be reduced to simple one-loop quantities, using just algebraic manipulations, when the constant background field satisfies F^2 = -f^2 I,…

High Energy Physics - Theory · Physics 2009-02-11 Marek Krasnansky

We have derived the Wigner equations at global equilibrium with constant vorticity but space-time dependent electromagnetic fields up to second order in semiclassical expansion. We obtain the new second-order contributions to the charge…

High Energy Physics - Phenomenology · Physics 2024-09-24 Shi-Zheng Yang , Jian-Hua Gao , Shi Pu

A simple systematic method for calculating derivative expansions of the one-loop effective action is presented. This method is based on using symbols of operators and well known deformation quantization theory. To demonstrate its advantages…

High Energy Physics - Theory · Physics 2009-10-31 N. G. Pletnev , A. T. Banin

Considerable work has been done on the one-loop effective action in combined electromagnetic and gravitational fields, particularly as a tool for determining the properties of light propagation in curved space. After a short review of…

General Relativity and Quantum Cosmology · Physics 2009-04-24 Fiorenzo Bastianelli , Jose Manuel Davila , Christian Schubert

Scalar Quantum Electrodynamics is investigated in the Heisenberg picture via the Duffin-Kemmer-Petiau gauge theory. On this framework, a perturbative method is used to compute the vacuum polarization tensor and its corresponding induced…

High Energy Physics - Theory · Physics 2018-04-12 J. Beltran , N. T. Maia , B. M. Pimentel

We present a systematic construction of the six-derivative effective scalar-tensor theories, extending the four-derivative framework previously developed by Steven Weinberg. The on-shell effective field theory comprises five parity-even and…

High Energy Physics - Theory · Physics 2025-12-16 Eugeny Babichev , Sukŗti Bansal , Maria Mylova , Antonio Padilla

The Schwinger quantum correction to the classic Thomas-Fermi atom is directly derived by solving for the latter without recourse to a modeling after the harmonic oscillator potential and without solving for the particle density.

Quantum Physics · Physics 2007-06-13 Edouard B. Manoukian , Parut Bantitadawit

We applied the method of finite-part integration [Galapon E.A Proc.R.Soc A 473, 20160567(2017)] to evaluate in closed-form the exact one-loop integral representations of the Heisenberg-Euler Lagrangian from QED for a constant magnetic field…

Mathematical Physics · Physics 2024-02-20 Christian D. Tica , Eric A. Galapon

I summarize what is known about the Euler-Heisenberg Lagrangian and its multiloop corrections for scalar and spinor QED, in various types of constant fields, and in various dimensions. Particular attention is given to the asymptotic…

High Energy Physics - Phenomenology · Physics 2020-01-22 Idrish Huet , Michel Rausch de Traubenberg , Christian Schubert

In Wigner function approach with relaxation time approximation, we calculate electric and magnetic conductivities of a fermion system in the strong magnetic field. The linear response has been calculated to the perturbation of…

Nuclear Theory · Physics 2023-06-21 Hao-Hao Peng , Xin-Li Sheng , Shi Pu , Qun Wang

We consider the non-linear classical field theory which results from adding to the Maxwell's Lagrangian the contributions from the weak-field Euler-Heisenberg Lagrangian and a non-uniform part which involves derivatives of the electric and…

High Energy Physics - Phenomenology · Physics 2020-12-30 A. D. Bermúdez Manjarres , M. Nowakowski , D. Batic

Functional methods and a derivative expansion are employed for laying out a procedure to compute the effective action to any loop order, for scalar fields parametrising an arbitrary Riemannian manifold, while maintaining explicit…

High Energy Physics - Theory · Physics 2024-10-08 Rodrigo Alonso , Mia West

In the in-out formalism we advance a method of the inverse scattering matrix for calculating effective actions in pure magnetic field backgrounds. The one-loop effective actions are found in a localized magnetic field of Sauter type and…

High Energy Physics - Theory · Physics 2015-05-30 Sang Pyo Kim

We show explicitly that Schwinger's formula for one-loop effective actions corresponds to the summation of energies associated with the zero-point oscillations of the fields. We begin with a formal proof, and after that we confirm it using…

High Energy Physics - Theory · Physics 2009-10-28 L. C. de Albuquerque , C. Farina , Silvio J. Rabello , Arvind N. Vaidya

We study derivative corrections to the effective action for a single D-brane in type II superstring theory coupled to constant background fields. In particular, within this setting we determine the complete expression for the (disk level)…

High Energy Physics - Theory · Physics 2009-10-31 Niclas Wyllard

The spontaneous production of electron-positron pairs from the vacuum--in a field configuration composed of a high-frequency electric mode of weak intensity and a strong constant electric field--is investigated. Asymptotic expressions for…

High Energy Physics - Phenomenology · Physics 2019-12-25 Selym Villalba-Chávez , Carsten Müller

Using the Worldline formalism of QED we compute the two-loop effective action induced by a charged scalar, respectively spinor particle in a general constant electromagnetic field.

High Energy Physics - Theory · Physics 2011-09-13 Boris Körs , Michael G. Schmidt

We study next-to-leading corrections to the effective action of the curvature perturbation obtained by integrating out the coupled heavy isocurvature perturbation. These corrections result from including higher order derivative operators,…

High Energy Physics - Theory · Physics 2015-03-12 Jinn-Ouk Gong , Min-Seok Seo , Spyros Sypsas

The one-loop effective action of QED obtained by Euler and Heisenberg and by Schwinger has been expressed by an asymptotic perturbative series which is divergent. In this letter we present a non-perturbative but convergent series of the…

High Energy Physics - Theory · Physics 2009-10-31 Y. M. Cho , D. G. Pak