A finite model for electrodynamics by introducing a form factor fHD2(ℓ2□)=1+(-ℓ2□)2   into the kinetic term of Maxwell theory

Hashemi, Mostafa; Moayedi, Seyed  Kamran

doi:10.47176/ijpr.23.2.71720

A finite model for electrodynamics by introducing a form factor fHD2(ℓ2□)=1+(-ℓ2□)2 into the kinetic term of Maxwell theory

Document Type : Original Article

Authors

Mostafa Hashemi

Seyed Kamran Moayedi

Department of Physics, Faculty of Basic Sciences, Arak University, Arak 38156-8-8349, Iran

https://doi.org/10.47176/ijpr.23.2.71720

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 -1/4µ₀F_µνF^µν→ -1/4µ₀F_µνF_HD2(ℓ²□)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

Subjects

Theoretical

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