https://doi.org/10.1140/epjc/s10052-020-7853-6
Regular Article - Theoretical Physics
Magnetic response from constant backgrounds to Coulomb sources
1
Department of Physics, College of Physical Sciences and Technology, Hebei University, Wusidong Road 180, Baoding, 071002, China
2
Key Laboratory of High-precision Computation and Application of Quantum Field Theory of Hebei Province, Hebei University, Baoding, China
3
Department of Physics, Tomsk State University, Lenin Prospekt 36, 634050, Tomsk, Russia
4
P. N. Lebedev Physical Institute, 53 Leninskiy prospekt, 119991, Moscow, Russia
5
Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, São Paulo, SP, CEP 05508-090, Brazil
* e-mail: adorno@hbu.edu.cn
** e-mail: tg.adorno@gmail.com
Received:
30
September
2019
Accepted:
17
March
2020
Published online:
7
April
2020
Within general nonlinear electrodynamics given by a local action, very special magnetic field configuration carrying no magnetic charge is found as a linear response of the vacuum, filled with constant electric and magnetic fields, to an embedded static electric charge. When the electric charge is point-like and external fields are parallel, the response found may be interpreted as a field of two point-like magnetic charges of opposite polarities in one point. Coefficients characterizing the magnetic response and induced current are specialized to quantum electrodynamics (QED), where the nonlinearity is taken as that determined by the local Heisenberg–Euler effective action. It is demonstrated how the same response is reproduced in the (nonisotropic) region remote from the charge by considering the polarization operator of QED.
© The Author(s), 2020
