Vacuum Polarization of Generalized Quantum Electrodynamics in the Heisenberg Picture

Abstract

In this work, we consider the generalized quantum electrodynamics proposed by Podolsky in Heisenberg picture via Kallen methodology. We investigate the effects of higher-order derivatives to understand the qualitative and quantitative aspects of vacuum polarization. In addition, the most general structure of induced current and polarization tensor that emerge naturally by a perturbative scheme "a la" Kallen is also obtained. Afterward, we discuss the physical implication of charge renormalization in the perspective of unitary and stable Podolsky theory.

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• Classical and quantum stability of higher-derivative dynamics
• Causal approach for the electron-positron scattering in Generalized Quantum Electrodynamics
• Path Integral Quantization of Generalized Quantum Electrodynamics
• Renormalizability of generalized quantum electrodynamics