One And The Same Route: Two Outstanding Electrodynamics

Abstract

We show that the same route that leads to Maxwell's electrodynamics leads also to Podolsky's electrodynamics, provided we start from Podolsky's electrostatic force law instead of the usual Coulomb's law.

Vacuum persistence amplitude and gravitational potential in f(R) gravity

“…In this letter, we use the vacuum persistence amplitude of f (R) = R + aR 2 model to derive the gravitational energy of two static point-masses. The result is in accordance with the result obtained in [7][8][9], where the gravitational potential in quantized f (R) = R+aR 2 model is derived by calculating the scattering amplitude of two massive scaler fields mediating gravitons. However, as we are going to show, the source theory is a straightforward method to obtain the static potential even within context of modified theories of gravity.…”

“…The second Yukawa-like term arises due to the modification of Einstein-Hilbert action. A similar result is reported in [7][8][9] where the static potential is obtained upon invoking the formula (11) by calculating the fourier transform of the scattering matrix. However, as we demonstrated in this letter, the source theory method is a rather straightforward way to obtain the gravitational potential.…”

Low-energy effects in a higher-derivative gravity model with real and complex massive poles

“…Since the curved-space Maxwell equations are conformally invariant, these terms have no direct effect on the light deflection, in the leading approximation. Let us note that the semiclassical derivation of the same statement for R + R 2 can be found in [43] and will be extended to the theory with R R term in the next section.…”

Bending of light in the framework of R + R2 gravity

“…This equation is solved in detail in Ref. 4 The corresponding photon-external-gravitational-eld vertex is shown in Fig. 3.…”