Effective Lagrangian of QED with a magnetic charge and dyon mass bounds

S. G. Kovalevich, P. Osland, Yakov Shnir, E. A. Tolkachev · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1997

The effective Lagrangian of QED coupled to dyons is calculated. The resulting generalization of the Euler-Heisenberg Lagrangian contains nonlinear $P$- and $T$-noninvariant terms corresponding to the virtual pair creation of dyons. The corresponding $P$- and $T$-violating part of the matrix element for light-by-light scattering is considered. This effect induces an electric dipole moment for the electron, of order ${M}^{\ensuremath{-}2}$, where $M$ is the dyon mass. The current limit on the electric dipole moment of the electron yields the lower dyon mass bound $M>1$ TeV.

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