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A rigorous mathematical proof is given of a class of vector identities that provide a way to separate an arbitrary vector field (over a linear space) into the sum of a radial (i.e., pointing toward the radial unit vector) vector field,…

Classical Physics · Physics 2007-05-23 M. Bornatici , O. Maj

The effect of static electromagnetic fields on the propagation of light is analyzed in the context of a particular class of scalar-tensor gravitational theories. It is found that for appropriate field configurations and light polarization,…

General Relativity and Quantum Cosmology · Physics 2013-10-10 T. E. Raptis , F. O. Minotti

In this paper we analyse the vacuum polarization effect associated with the charged massless scalar field, in the presence of magnetic flux at finite temperature, in the cosmic string background. We consider a spacetime of an idealized…

High Energy Physics - Theory · Physics 2008-11-26 J. Spinelly , E. R. Bezerra de Mello

It is common practice to take for granted the equality (up to the constant $\varepsilon_0$) of the electric displacement ($\bf{D}$) and electric ($\bf{E}$) field vectors in vacuum. The same happens with the magnetic field ($\bf{H}$) and the…

General Relativity and Quantum Cosmology · Physics 2023-07-14 Sébastien Fumeron , Fernando Moraes , Bertrand Berche

We develop a method to compute the fermion contribution to the vacuum polarization energy of string--like configurations in a non--abelian gauge theory. This calculation has been hampered previously by a number of technical obstacles. We…

High Energy Physics - Theory · Physics 2014-11-20 H. Weigel , M. Quandt , N. Graham , O. Schroeder

We present a theory for the estimation of a scalar or a vector magnetic field by its influence on an ensemble of trapped spin polarized atoms. The atoms interact off-resonantly with a continuous laser field, and the measurement of the…

Quantum Physics · Physics 2009-11-10 Vivi Petersen , Lars Bojer Madsen , Klaus Molmer

In a space of arbitrary dimensions, the effect of an external magnetic field on the vacuum of a quantized charged scalar field is studied for the field configuration in the form of a singular vortex. The zeta-function technique is used to…

High Energy Physics - Theory · Physics 2014-11-18 Yu. A. Sitenko , A. Yu. Babansky

Within an effective field theory derived from string theory, the universal axion has to be coupled to the the gravitational Chern-Simons (gCS) term. During any era when the axion field is varying, the vacuum fluctuation of the gravitational…

High Energy Physics - Theory · Physics 2008-11-26 David H. Lyth , Carlos Quimbay , Yeinzon Rodriguez

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

In this paper we investigate the Wightman function, the renormalized vacuum expectation values of the field square, and the energy-momentum tensor for a massive scalar field with general curvature coupling inside and outside of a…

High Energy Physics - Theory · Physics 2009-11-11 E. R. Bezerra de Mello , V. B. Bezerra , A. A. Saharian , A. S. Tarloyan

We calculate the vacuum-to-vacuum correlator of two quark tensor currents with two massive quarks, retaining full momentum dependence. For the first time, we include perturbative corrections up to next-to-leading order. Our fully analytical…

High Energy Physics - Phenomenology · Physics 2026-02-06 Terry Generet , Nico Gubernari , Eetu Loisa

We corroborate the previously applied spectral approach to compute the vacuum polarization energy of string configurations in models similar to the standard model of particle physics. The central observation underlying this corroboration is…

High Energy Physics - Theory · Physics 2016-08-31 H. Weigel , M. Quandt , N. Graham

We derive expressions for the vector and tensor components of the spin polarization of massive vector bosons at local thermodynamic equilibrium up to second order in the space-time gradients of the thermodynamic fields pertaining to the…

High Energy Physics - Phenomenology · Physics 2025-07-24 Zhong-Hua Zhang , Xu-Guang Huang , Francesco Becattini , Xin-Li Sheng

We find first nonlinear correction to the field, produced by a static charge at rest in a background constant magnetic field. It is quadratic in the charge and purely magnetic. The third-rank polarization tensor - the nonlinear response…

High Energy Physics - Theory · Physics 2013-07-08 Dmitry M. Gitman , Anatoly E. Shabad

The QED vacuum polarization in external monochromatic plane-wave electromagnetic fields is calculated with spatial and temporal variations of the external fields being taken into account. We develop a perturbation theory to calculate the…

High Energy Physics - Phenomenology · Physics 2019-12-06 Akihiro Yatabe , Shoichi Yamada

For field theories in one time and one space dimensions we propose an efficient method to compute the vacuum polarization energy of static field configurations that do not allow a decomposition into symmetric and anti--symmetric channels.…

High Energy Physics - Theory · Physics 2017-01-13 H. Weigel

In this work we compute the vacuum expectation values of the energy-momentum tensor and the average value of a massive, charged scalar field in the presence of a magnetic flux cosmic string for both zero- and finite-temperature cases.

High Energy Physics - Theory · Physics 2009-11-10 M. E. X. Guimaraes , A. L. N. Oliveira

We use the BV quantization method for a theory with coupled tensor and vector gauge fields through a topological term. We consider in details the reducibility of the tensorial sector as well as the appearance of a mass term in the effective…

High Energy Physics - Theory · Physics 2015-06-26 R. Amorim , J. Barcelos-Neto

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

It is explained how first-quantized worldline path integrals can be used as an efficient alternative to Feynman diagrams in the calculation of QED amplitudes and effective actions. The examples include the one-loop photon splitting…

High Energy Physics - Phenomenology · Physics 2007-05-23 Christian Schubert