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The Euler-Heisenberg effective action in a self-dual background is remarkably simple at two-loop. This simplicity is due to the inter-relationship between self-duality, helicity and supersymmetry. Applications include two-loop helicity…

高能物理 - 理论 · 物理学 2017-08-23 Gerald V. Dunne , Christian Schubert

We develop integration-by-parts rules for Feynman diagrams involving massive scalar propagators in a constant background electromagnetic field, and use these to show that there is a simple diagrammatic interpretation of mass renormalization…

高能物理 - 理论 · 物理学 2008-11-26 Gerald V. Dunne , Marek Krasnansky

The two-loop Euler-Heisenberg-type effective action for N = 1 supersymmetric QED is computed within the background field approach. The background vector multiplet is chosen to obey the constraints D_\a W_\b = D_{(\a} W_{\b)} = const, but is…

高能物理 - 理论 · 物理学 2010-10-27 Sergei M. Kuzenko , Simon J. Tyler

Diagrammatic rules are developed for simplifying two-loop QED diagrams with propagators in a constant self-dual background field. This diagrammatic analysis, using dimensional regularization, is used to explain how the fully renormalized…

高能物理 - 理论 · 物理学 2010-02-03 Gerald V. Dunne

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.

高能物理 - 理论 · 物理学 2011-09-13 Boris Körs , Michael G. Schmidt

I show that helicity plays an important role in the development of rules for computing higher loop effective Lagrangians. Specifically, the two-loop Heisenberg-Euler effective Lagrangian in quantum electrodynamics is remarkably simple when…

高能物理 - 理论 · 物理学 2017-08-23 Gerald V. Dunne

The two-loop (Euler-Heisenberg-type) effective action for N = 2 supersymmetric QED is computed using the N = 1 superspace formulation. The effective action is expressed as a series in supersymmetric extensions of F^{2n}, where n=2,3,...,…

高能物理 - 理论 · 物理学 2009-11-10 S. M. Kuzenko , I. N. McArthur

We study the effective interactions of external electromagnetic fields induced by fluctuations of virtual particles in the vacuum of quantum electrodynamics. Our main focus is on these interactions at two-loop order. We discuss in detail…

高能物理 - 理论 · 物理学 2022-06-02 Holger Gies , Felix Karbstein

We show that, for both scalar and spinor QED, the two-loop Euler-Heisenberg effective Lagrangian for a constant Euclidean self-dual background has an extremely simple closed-form expression in terms of the digamma function. Moreover, the…

高能物理 - 理论 · 物理学 2009-11-07 Gerald V. Dunne , Christian Schubert

A closed-form expression is obtained for a holomorphic sector of the two-loop Euler-Heisenberg type effective action for N = 2 supersymmetric QED derived in hep-th/0308136. In the framework of the background-field method, this sector is…

高能物理 - 理论 · 物理学 2010-04-05 S. M. Kuzenko , I. N. McArthur

We use the evolution operator method to find the one-loop effective action of scalar and spinor QED in electric field backgrounds in terms of the Bogoliubov coefficient between the ingoing and the outgoing vacua. We obtain the exact…

高能物理 - 理论 · 物理学 2008-12-18 Sang Pyo Kim , Hyun Kyu Lee , Yongsung Yoon

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…

高能物理 - 理论 · 物理学 2015-05-30 Sang Pyo Kim

We show that the two-loop Euler-Heisenberg effective Lagrangian for scalar QED in a constant Euclidean self-dual background has a simple explicit closed form expression in terms of the digamma function. This result leads to a simple…

高能物理 - 理论 · 物理学 2009-11-07 Gerald V. Dunne , Christian Schubert

We develop the in-out formalism for one-loop effective actions in electromagnetic fields in the space-dependent gauge. We further advance a method using the inverse scattering matrix to calculate the effective actions in pure magnetic…

高能物理 - 理论 · 物理学 2011-07-22 Sang Pyo Kim

We study two-loop Euler-Heisenberg effective actions in three-dimensional N=2 and N=4 supersymmetric quantum electrodynamics (SQED) without Chern-Simons term. We find exact expressions for propagators of chiral superfields interacting with…

高能物理 - 理论 · 物理学 2015-06-16 I. L. Buchbinder , B. S. Merzlikin , I. B. Samsonov

In this work, we mainly study the one-loop effective action for real scalar theories in non-homogeneous backgrounds in odd dimensions. It is shown that through the method studied in Ref. [1], it is possible to obtain a unified result for…

高能物理 - 理论 · 物理学 2011-04-06 Burak Tevfik Kaynak

Augmentations to the Euler-Heisenberg Lagrangian (QED one-loop effective action in homogeneous electromagnetic fields) under a constant background axial gauge are examined. Two special configurations admit an exact eigendecomposition, and…

高能物理 - 理论 · 物理学 2023-03-22 Patrick Copinger , Koichi Hattori , Di-Lun Yang

We study the Heisenberg-Euler effective action in constant electromagnetic fields $\bar{F}$ for QED with $N$ charged particle flavors of the same mass and charge $e$ in the large $N$ limit characterized by sending $N\to\infty$ while keeping…

高能物理 - 理论 · 物理学 2024-02-26 Felix Karbstein

In the in-/out-state formalism we find the exact one-loop effective action of a massive scalar field in the global coordinates of de Sitter spaces, which is a gravity analog of the Heisenberg-Euler action in QED. The nonperturbative…

高能物理 - 理论 · 物理学 2010-08-04 Sang Pyo Kim

We extend Schwinger's proper-time formalism to provide a method for computing the one-loop effective action for both spinor and scalar quantum electrodynamics in $d=2n>4$ dimensions. The closed form expression for the six-dimensional…

高能物理 - 理论 · 物理学 2026-04-16 Terry Hatzis , Sergei M. Kuzenko
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