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We present results of numerical simulations for pure U(1) gauge theory in a non-commutative space. The theory is mapped onto a dimensionally reduced matrix model, which renders its numerical treatment feasible. New data on large lattices…

High Energy Physics - Lattice · Physics 2007-05-23 J. Volkholz , W. Bietenholz , J. Nishimura , Y. Susaki

We study the effects of the quantum vacuum on the propagation of a Gaussian laser beam in vacuum. By means of a double perturbative expansion in paraxiality and quantum vacuum terms, we provide analytical expressions for the self-induced…

Optics · Physics 2015-06-23 Angel Paredes , David Novoa , Daniele Tommasini

Quantum field theory (QFT) is supposed to be gauge invariant. However it has been well established that a direct calculation of the vacuum polarization tensor produces a non-gauge invariant result. In this paper it will be shown that this…

General Physics · Physics 2017-12-15 Dan Solomon

This work investigates the implications of very special relativity (VSR) on the calculation of vacuum polarization for fermions in the presence of Maxwell and Kalb-Ramond gauge fields in four-dimensional spacetime. We derive the…

High Energy Physics - Theory · Physics 2023-11-16 Roberto V. Maluf , Gonzalo J. Olmo

We show that in the presence of a slowly rotating strong transverse magnetic field there is an infinite spectrum of harmonic wave functions $A_n$ due to the first order QED correction (in $\alpha^2$) given by the Euler-Heisenberg…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Tito Mendonca , J. Dias de Deus , P. Castelo Ferreira

We examine the vacuum polarization contribution in the renormalization scheme of QED. Normally, the quadratic divergence term is discarded under the condition that the counter term of the Lagrangian density should be gauge invariant. Here,…

High Energy Physics - Theory · Physics 2009-01-23 T. Fujita , N. Kanda , H. Kato , H. Kubo , Y. Munakata , S. Oshima , K. Tsuda

We discuss the experimental techniques used to date for measuring the changes in polarization state of a laser produced by a strong transverse magnetic field acting in a vacuum. We point out the likely artifacts that can arise in such…

High Energy Physics - Theory · Physics 2007-10-10 Christopher C. Davis , Joseph Harris , Robert W. Gammon , Igor I. Smolyaninov , Kyuman Cho

The one-loop effects of vacuum polarization induced by untwisted fermions in QED in a nonsimply connected space-time with topology $S^{1}\times R^{3}$ are investigated. It is found that photon propagation in this system is anisotropic,…

High Energy Physics - Phenomenology · Physics 2009-11-07 E. J. Ferrer , V. de la Incera , A. Romeo

We compute the full vacuum polarization tensor in the fermion sector of Lorentz-violating QED. Even if we assume momentum routing invariance of the Feynman diagrams, it is not possible to fix all surface terms and find an unambiguity free…

High Energy Physics - Theory · Physics 2023-08-24 J. C. C. Felipe , A. Yu. Petrov , A. P. Baêta Scarpelli , A. R. Vieira

In this work, we investigate the magnetic properties of the quantum vacuum in the context of QED. We calculate the quantum relativistic correction of virtual particle--anti-particle pair creation to the field of a classical point-like…

High Energy Physics - Phenomenology · Physics 2026-05-07 T. Azevedo , F. A. Barone , C. Farina , R. de Melo e Souza , G. Zarpelon

In this work we show how to construct the one-loop vacuum polarization for light-front QED$_{4}$ in the framework of the perturbative causal theory. Usually, in the canonical approach, it is considered for the fermionic propagator the…

High Energy Physics - Theory · Physics 2014-11-27 R. Bufalo , B. M. Pimentel , D. E. Soto

We use the one loop vacuum polarization induced by scalar quantum electrodynamics to compute the electric and magnetic fields of point charges and magnetic dipoles on a locally de Sitter background. Our results are consistent with the…

General Relativity and Quantum Cosmology · Physics 2015-06-15 H. Degueldre , R. P. Woodard

We study the effect of laser photon merging, or equivalently high harmonic generation, in the quantum vacuum subject to inhomogeneous electromagnetic fields. Such a process is facilitated by the effective nonlinear couplings arising from…

High Energy Physics - Phenomenology · Physics 2014-08-14 Holger Gies , Felix Karbstein , Rashid Shaisultanov

We study the vacuum polarization of a massive scalar field $\phi$ with arbitrary coupling to gravity in pointlike global monopole spacetime. Using Schwinger-DeWitt proper time formalism, we calculate the vacuum expectation value…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Owen Pavel Fernández Piedra

Neutral atoms may be trapped via the interaction of their magnetic dipole moment with magnetic field gradients. One of the possible schemes is the cloverleaf trap. It is often desirable to have at hand a fast and precise technique for…

Soft Condensed Matter · Physics 2007-05-23 Ph. W. Courteille , S. R. Muniz , K. Magalhaes , R. Kaiser , L. G. Marcassa , V. S. Bagnato

In the presence of strong magnetic fields, the vacuum becomes a birefringent medium. We show that this QED effect couples the direction of the polarization of photons leaving the NS surface, to the direction of the magnetic field along the…

Astrophysics · Physics 2009-09-29 Jeremy S. Heyl , Don Lloyd , Nir J. Shaviv

We derive analytical expressions for the photon polarization tensor in circularly polarized Hermite- and Laguerre-Gaussian beams, complementing the corresponding results for linearly polarized beams obtained recently. As they are based upon…

High Energy Physics - Phenomenology · Physics 2018-03-08 Felix Karbstein , Elena A. Mosman

Vacuum polarization mediated by quark loops is susceptible to external electromagnetic fields as well as to the QCD vacuum structure. Employing the stochastic vacuum model, we calculate the modification of the one-loop Euler-Heisenberg…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. -Th. Elze , B. Müller , J. Rafelski

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

We develop a variational framework for addressing two-dimensional non-integrable quantum field theories through the exact structure of their integrable counterparts. Concentrating on the $\varphi^4$ Landau-Ginzburg model, we use the…

High Energy Physics - Theory · Physics 2025-12-19 Arthur Hutsalyuk , Márton Lájer , Giuseppe Mussardo , Andrea Stampiggi