TY - JOUR
T1 - Magnetic response to applied electrostatic field in external magnetic field
AU - Adorno, T. C.
AU - Gitman, D. M.
AU - Shabad, A. E.
N1 - Funding Information:
T. C. Adorno acknowledges the financial support of FAPESP under the process 2013/00840-9 and 2013/16592-4. He is also thankful to the Department of Physics of the University of Florida for the kind hospitality. D. Gitman thanks CNPq and FAPESP for permanent support; in addition, his work is done partially under the project 2.3684.2011 of Tomsk State University. A. Shabad acknowledges the support of FAPESP, Processo 2011/51867-9, and of RFBR under the Project 11-02-00685-a. He also thanks USP for kind hospitality extended to him during his stay in Sao Paulo, Brazil, where this work was partially fulfilled. The authors are thankful to C. Costa for discussions.
PY - 2014/4
Y1 - 2014/4
N2 - We show, within QED and other possible nonlinear theories, that a static charge localized in a finite domain of space becomes a magnetic dipole, if it is placed in an external (constant and homogeneous) magnetic field in the vacuum. The magnetic moment is quadratic in the charge, depends on its size and is parallel to the external field, provided the charge distribution is at least cylindrically symmetric. This magneto-electric effect is a nonlinear response of the magnetized vacuum to an applied electrostatic field. Referring to the simple example of a spherically symmetric applied field, the nonlinearly induced current and its magnetic field are found explicitly throughout the space; the pattern of the lines of force is depicted, both inside and outside the charge, which resembles that of a standard solenoid of classical magnetostatics.
AB - We show, within QED and other possible nonlinear theories, that a static charge localized in a finite domain of space becomes a magnetic dipole, if it is placed in an external (constant and homogeneous) magnetic field in the vacuum. The magnetic moment is quadratic in the charge, depends on its size and is parallel to the external field, provided the charge distribution is at least cylindrically symmetric. This magneto-electric effect is a nonlinear response of the magnetized vacuum to an applied electrostatic field. Referring to the simple example of a spherically symmetric applied field, the nonlinearly induced current and its magnetic field are found explicitly throughout the space; the pattern of the lines of force is depicted, both inside and outside the charge, which resembles that of a standard solenoid of classical magnetostatics.
UR - http://www.scopus.com/inward/record.url?scp=84900872419&partnerID=8YFLogxK
U2 - 10.1140/epjc/s10052-014-2838-y
DO - 10.1140/epjc/s10052-014-2838-y
M3 - Article
AN - SCOPUS:84900872419
SN - 1434-6044
VL - 74
SP - 1
EP - 17
JO - European Physical Journal C
JF - European Physical Journal C
IS - 4
M1 - 2838
ER -