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 -1/4µ0 FµνFµν→ -1/4µ0 FµνFHD2(ℓ2□)Fµν , 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 ℓmax ~1/100ℓelectroweak , where ℓelectroweak= 10-18m 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.
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Hashemi,M. and Moayedi,S. . K. (2023). A finite model for electrodynamics by introducing a form factor fHD2(ℓ2□)=1+(-ℓ2□)2 into the kinetic term of Maxwell theory. Iranian Journal of Physics Research, 23(2), 429-442. doi: 10.47176/ijpr.23.2.71720
MLA
Hashemi,M. , and Moayedi,S. . K. . "A finite model for electrodynamics by introducing a form factor fHD2(ℓ2□)=1+(-ℓ2□)2 into the kinetic term of Maxwell theory", Iranian Journal of Physics Research, 23, 2, 2023, 429-442. doi: 10.47176/ijpr.23.2.71720
HARVARD
Hashemi M., Moayedi S. . K. (2023). 'A finite model for electrodynamics by introducing a form factor fHD2(ℓ2□)=1+(-ℓ2□)2 into the kinetic term of Maxwell theory', Iranian Journal of Physics Research, 23(2), pp. 429-442. doi: 10.47176/ijpr.23.2.71720
CHICAGO
M. Hashemi and S. . K. Moayedi, "A finite model for electrodynamics by introducing a form factor fHD2(ℓ2□)=1+(-ℓ2□)2 into the kinetic term of Maxwell theory," Iranian Journal of Physics Research, 23 2 (2023): 429-442, doi: 10.47176/ijpr.23.2.71720
VANCOUVER
Hashemi M., Moayedi S. . K. A finite model for electrodynamics by introducing a form factor fHD2(ℓ2□)=1+(-ℓ2□)2 into the kinetic term of Maxwell theory. Dear user; Recently we have changed our software to Sinaweb. If you had already registered with the old site, you may use the same USERNAME but you need to change your password. To do so at the first use, please choose, 2023; 23(2): 429-442. doi: 10.47176/ijpr.23.2.71720