Document Type : Original Article
Authors
- Mostafa Hashemi ^{}
- Seyed Kamran Moayedi ^{} ^{}
Department of Physics, Faculty of Basic Sciences, Arak University, Arak 38156-8-8349, Iran
Abstract
In this paper, a higher-derivative model for electrodynamics is presented in a D+1 dimensional Minkowski space-time by introducing a form factor into the kinetic term of Maxwell theory as -1/4µ_{0 }F_{µν}F^{µν}→ -1/4µ_{0 }F_{µν}F_{HD2}(ℓ^{2}□)F^{µν} , where is a characteristic length scale. Our calculations show that for DÊÎ{3, 4, 5} the electrostatic potential of a point charge is finite at the position of the point charge in this higher-derivative modification of Maxwell's theory. For D=3 the explicit form of the potential and the electric field of a point charge are obtained analytically in this higher-derivative electrodynamics. According to numerical estimations, the upper bound for the characteristic length scale ℓ is ℓ_{max }_{~}1/100ℓ_{electroweak} , where ℓ_{electroweak= 10}^{-18}_{m} is the electroweak length scale. Finally, it should be emphasized that for ℓ<<1 the results of this paper are compatible with the results of ordinary Maxwell theory.
Keywords
- Maxwell electrodynamics
- regularization techniques
- form factor
- characteristic length scale
- field theories with higher derivative terms
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