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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…

广义相对论与量子宇宙学 · 物理学 2009-04-24 Fiorenzo Bastianelli , Jose Manuel Davila , Christian Schubert

Building upon the Covariant Derivative Expansion, we develop a method to compute effective actions that is able to capture non-perturbative effects induced by strong background fields. We demonstrate the method in scalar QED, by deriving…

高能物理 - 理论 · 物理学 2025-12-10 Sebastián Franchino-Viñas , Jérémie Quevillon , Diego Saviot

We conjecture that the proper-time series expansion of the one-loop effective Lagrangian of quantum electrodynamics can be summed in all terms containing the field-strength invariants $\mathcal{F} = \frac{1}{4} F_{\mu\nu}F^{\mu\nu} (x)$,…

高能物理 - 理论 · 物理学 2021-04-28 Jose Navarro-Salas , Silvia Pla

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…

高能物理 - 理论 · 物理学 2013-08-08 Hagen Kleinert , Eckhard Strobel , She-Sheng Xue

We compute the exact QED_{3+1} effective action for fermions in the presence of a family of static but spatially inhomogeneous magnetic field profiles. An asymptotic expansion of this exact effective action yields an all-orders derivative…

高能物理 - 理论 · 物理学 2009-10-30 Gerald Dunne , Theodore M. Hall

We present a numerical study of the fermion-induced effective action in the presence of a static inhomogeneous magnetic field for both 3+1 and 2+1 dimensional QED using a novel approach. This approach is appropriate for cylindrically…

高能物理 - 理论 · 物理学 2009-10-31 Pavlos Pasipoularides

The gauge invariant method for calculation of the effective action of the local composite fields in QFT is proposed. The effective action of the local composite fields in QED is studied up to 2-loop level. The graph rules for the local…

高能物理 - 理论 · 物理学 2007-05-23 S. A. Garnov

The Gel'fand-Yaglom theorem has been used to calculate the one-loop effective action in quantum field theory by means of the "partial-wave-cutoff method". This method works well for a wide class of background fields and is essentially…

高能物理 - 理论 · 物理学 2022-06-29 Adolfo Huet , Idrish Huet , Octavio Cornejo

Exact solutions of the Dirac equation in external electromagnetic background fields are very helpful for understanding non-perturbative phenomena in quantum electrodynamics (QED). However, for the limited set of known solutions, the field…

高能物理 - 理论 · 物理学 2016-03-24 Johannes Oertel , Ralf Schützhold

The low-energy structure of hadrons can be described systematically using effective field theory, and the parameters of the effective theory can be determined from lattice QCD computations. Recent work, however, points to inconsistencies…

高能物理 - 唯象学 · 物理学 2014-03-26 Jong-Wan Lee , Brian C. Tiburzi

We consider a theory of scalar QED on a spatially compact 1+1-dimensional spacetime. By considering a constant electric field pointing down the compact dimension, we compute the quantum effective action by integrating out the scalar degrees…

高能物理 - 理论 · 物理学 2021-06-29 Prasant Samantray , Suprit Singh

The equations for the QED effective action derived in \cite{fm} are considered using singular perturbation theory. The effective action is divided into regular and singular (in coupling constant) parts. It is shown that expression for the…

高能物理 - 理论 · 物理学 2019-09-04 Biruniy Fayzullaev

We calculate the two-loop effective action of QED for arbitrary constant electromagnetic fields at finite temperature T in the limit of T much smaller than the electron mass. It is shown that in this regime the two-loop contribution always…

高能物理 - 唯象学 · 物理学 2009-09-25 Holger Gies

We calculate the effective action for a constant magnetic field and a time-dependent time-component of the gauge field in 2+1 dimensions at finite temperature. We also discuss the behaviour of the charge density and the fermion condensate…

高能物理 - 唯象学 · 物理学 2009-10-31 Marcelo Hott , Georgios Metikas

The one-loop finite temperature effective potential of QED in an external electromagnetic field is obtained using the worldline method. The general structure of the temperature dependent part of the effective action in an arbitrary external…

高能物理 - 理论 · 物理学 2009-10-31 Igor A. Shovkovy

We study, for the first time, the Schwinger mechanism for the pair production of charged scalars in the presence of an arbitrary time-dependent background electric field E(t) by by directly evaluating the path integral. We obtain an exact…

高能物理 - 理论 · 物理学 2007-05-23 Fred Cooper , Gouranga C. Nayak

The derivation of a convergent series representation for the quantum electrodynamic effective action obtained by two of us (S.R.V. and D.R.L.) in [Can. J. Phys. vol. 71, p. 389 (1993)] is reexamined. We present more details of our original…

高能物理 - 理论 · 物理学 2009-11-07 Ulrich D. Jentschura , Holger Gies , Sree Ram Valluri , Darrell R. Lamm , Ernst Joachim Weniger

We derive the one-loop effective action for scalar, pseudoscalar, and electromagnetic fields coupled to a Dirac fermion in an extension of QED with Yukawa couplings. Using the Schwinger proper-time formalism and zeta-function…

高能物理 - 理论 · 物理学 2018-09-20 Theodore N. Jacobson , Tonnis ter Veldhuis

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

For the same quantum field theory distinct effective actions can be obtained by coupling sources to different choices of field variables. This is the same as considering effective actions for theories related by a change of variables and…

高能物理 - 理论 · 物理学 2025-08-25 Kevin Falls