How can one probe Podolsky Electrodynamics?

Abstract

We investigate the possibility of detecting the Podolsky generalized electrodynamics constant $a$. First we analyze an ion interferometry apparatus proposed by B. Neyenhuis, et al (Phys. Rev. Lett. 99, (2007) 200401) who looked for deviations from Coulomb's inverse-square law in the context of Proca model. Our results show that this experiment has not enough precision for measurements of $a$. In order to set up bounds for $a$ we investigate the influence of Podolsky's electrostatic potential on the ground state of the Hydrogen atom. The value of the ground state energy of the Hydrogen atom requires Podolsky's constant to be smaller than 5.6 fm, or in energy scales larger than 35.51 MeV.

12 pages, 2 figures

References in corpus (3)

• Second Order Gauge Theory
• Hamilton-Jacobi Approach for First Order Actions and Theories with Higher Derivatives
• Testing non-classical theories of electromagnetism with ion interferometry

Cited by in corpus (32)

• Thermodynamic properties in higher-derivative electrodynamics
• Self-interaction in the Bopp-Podolsky electrodynamics: Can the observable mass of a charged particle depend on its acceleration?
• On gradient field theories: gradient magnetostatics and gradient elasticity
• Hamilton-Jacobi formalism for Podolsky's electromagnetic theory on the null-plane
• Bopp-Podolsky black holes and the no-hair theorem
• Lorentz-violating scenarios in a thermal reservoir
• Renormalizability of generalized quantum electrodynamics
• de Broglie-Proca and Bopp-Podolsky massive photon gases in cosmology
• Thermal aspects of interacting quantum gases in Lorentz-violating scenarios
• External Sources in Lee-Wick Theories
• A Conducting surface in Lee-Wick electrodynamics
• Higher order derivative operators as quantum corrections
• Lagrangian Formulation of a Magnetostatic Field in the Presence of a Minimal Length Scale Based on the Kempf Algebra
• Batalin-Fradkin-Vilkovisky quantization of the generalized scalar electrodynamics
• Green functions and propagation in the Bopp-Podolsky electrodynamics
• The point-charge self-energy in Lee-Wick Theories
• Causal Structure and Birefringence in Nonlinear Electrodynamics
• Pauli-Villars Regularization Elucidated in Bopp-Podolsky's Generalized Electrodynamics
• On the Schrödinger spectrum of a hydrogen atom with electrostatic Bopp-Landé-Thomas-Podolsky interaction between electron and proton
• Reduced Order Podolsky Model
• Dual symmetry in a generalized Maxwell theory
• Second gradient electromagnetostatics: electric point charge, electrostatic and magnetostatic dipoles
• Non-linear effects on radiation propagation around a charged compact object
• Stability and consistent interactions in Podolsky's generalized electrodynamics
• Second gradient electrodynamics: a non-singular relativistic field theory
• Interparticle potential energy for D-dimensional electromagnetic models from the corresponding scalar ones
• Thermodynamics of a Photon Gas in Nonlinear Electrodynamics
• Second gradient electrodynamics: Green functions, wave propagation, regularization and self-force
• Vacuum Polarization of Generalized Quantum Electrodynamics in the Heisenberg Picture
• Waves in Bopp-Landé-Thomas-Podolsky generalized electrodynamics
• Generalized quantum electrodynamics: one-loop correction
• Planar generalized electrodynamics for one-loop amplitude in the Heisenberg picture