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Hattori-Itakura have recently derived the full Landau-level summation form for the photon vacuum polarization tensor in constant external magnetic fields at the one-loop level. The Landau-level summation form is essential when the photon…

High Energy Physics - Phenomenology · Physics 2013-10-31 Ken-Ichi Ishikawa , Daiji Kimura , Kenta Shigaki , Asako Tsuji

Photons propagating in strong magnetic fields are subject to a phenomenon called the "vacuum birefringence" where refractive indices of two physical modes both deviate from unity and are different from each other. We compute the vacuum…

High Energy Physics - Phenomenology · Physics 2013-05-02 Koichi Hattori , Kazunori Itakura

We compute the photon polarization tensor at one-loop order in the presence of a constant and uniform electric field. Our calculation is carried out for arbitrary field strength using the Schwinger proper-time formalism, and we explicitly…

High Energy Physics - Theory · Physics 2025-08-06 Luis A. Hernández , Juan D. Martínez-Sánchez , R. Zamora

We calculate the absorptive part of the photon polarization tensor in a hot magnetized relativistic plasma. In the derivation, we utilize a Landau-level representation for the fermion Green's function in a mixed coordinate-momentum space…

Nuclear Theory · Physics 2021-09-22 Xinyang Wang , Igor Shovkovy

The vacuum polarization tensor in strong external magnetic fields has been evaluated numerically for various strengths of magnetic fields and momenta of photons under the threshold of the $e^{\pm}$ pair creation. The fitting formula has…

Astrophysics · Physics 2009-11-06 K. Kohri , Shoichi Yamada

We present analytical and numerical calculations for the photon polarization tensor at finite temperature and density in a constant magnetic field. We first discuss the tensor decomposition in the presence of the magnetic field, which…

High Energy Physics - Phenomenology · Physics 2025-11-05 Kenji Fukushima , Yoshimasa Hidaka , Tomoya Uji

We revisit the photon polarization tensor in a homogeneous external magnetic or electric field. The starting point of our considerations is the momentum space representation of the one-loop photon polarization tensor in the presence of a…

High Energy Physics - Theory · Physics 2014-08-14 Felix Karbstein

We present an analytic method to compute the one-loop magnetic correction to the gluon polarization tensor starting from the Landau-level representation of the quark propagator in the presence of an external magnetic field. We show that the…

High Energy Physics - Theory · Physics 2020-02-26 Alejandro Ayala , Jorge David Castaño-Yepes , M. Loewe , Enrique Muñoz

The photon polarization tensor is the central building block of an effective theory description of photon propagation in the quantum vacuum. It accounts for the vacuum fluctuations of the underlying theory, and in the presence of external…

High Energy Physics - Phenomenology · Physics 2012-08-28 Felix Karbstein , Lars Roessler , Babette Döbrich , Holger Gies

In this paper we study the polarization tensor of photons in a QED plasma in the presence of a magnetic field. We do it both at vanishing and at finite temperature. We use two different methods to compute the polarization tensor components…

High Energy Physics - Phenomenology · Physics 2009-10-28 Ulf H. Danielsson , Dario Grasso

We examine the analytic properties of the photon polarization function in a background magnetic field, using the technique of inverse Mellin transform. The photon polarization function is first expressed as a power series of the photon…

High Energy Physics - Phenomenology · Physics 2009-11-07 W. F. Kao , G. -L. Lin , J. -J. Tseng

Using the $\alpha$-T$_3$ model, we carried out analytical and numerical calculations for the static and dynamic polarization functions in the presence of a perpendicular magnetic field. These results were employed to determine the…

Mesoscale and Nanoscale Physics · Physics 2021-02-17 Antonios Balassis , Dipendra Dahal , Godfrey Gumbs , Andrii Iurov , Danhong Huang , Oleksiy Roslyak

The photon magnetic moment for radiation propagating in magnetized vacuum is defined as a pseudo-tensor quantity, proportional to the external electromagnetic field tensor. After expanding the eigenvalues of the polarization operator in…

High Energy Physics - Phenomenology · Physics 2014-06-13 H. Perez Rojas , E. Rodriguez Querts

The polarization operator of a photon in a constant and uniform magnetic field is studied taking into account the radiation width and shift of the Landau levels in both weak and strong fields compared with the critical field…

High Energy Physics - Phenomenology · Physics 2019-11-27 V. M. Katkov

The polarization operator in a constant and homogeneous magnetic field of arbitrary strength is investigated on mass shell. The calculations are carried out at all photon energies higher the pair creation threshold as well as lower this…

High Energy Physics - Theory · Physics 2014-11-11 V. M. Katkov

We develop worldline numerical methods, which combine string-inspired with Monte-Carlo techniques, for the computation of the vacuum polarization tensor in inhomogeneous background fields for scalar QED. The algorithm satisfies the Ward…

High Energy Physics - Phenomenology · Physics 2013-05-29 Holger Gies , Lars Roessler

We compute the refractive indices of a photon propagating in strong magnetic fields on the basis of the analytic representation of the vacuum polarization tensor obtained in our previous paper. When the external magnetic field is strong…

High Energy Physics - Phenomenology · Physics 2013-04-30 Koichi Hattori , Kazunori Itakura

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 response of the QED vacuum in an asymptotically large electromagnetic field is studied. In this regime the vacuum energy is strongly influenced by the vacuum polarization effect. The possible interaction between the virtual…

High Energy Physics - Theory · Physics 2010-08-26 Selym Villalba-Chavez

We investigate photon merging and splitting processes in inhomogeneous, slowly varying electromagnetic fields. Our study is based on the three-photon polarization tensor following from the Heisenberg-Euler effective action. We put special…

High Energy Physics - Phenomenology · Physics 2016-04-28 Holger Gies , Felix Karbstein , Nico Seegert
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