Boson-boson effective nonrelativistic potential for higher-derivative electromagnetic theories in D dimensions

Abstract

The problem of computing the effective nonrelativistic potential $U_D$ for the interaction of charged scalar bosons within the context of D-dimensional electromagnetism with a cutoff, is reduced to quadratures. It is shown that $U_3$ cannot bind a pair of identical charged scalar bosons; nevertheless, numerical calculations indicate that boson-boson bound states do exist in the framework of three-dimensional higher-derivative electromagnetism augmented by a topological Chern-Simons term.

6 pages

References in corpus (1)

• The Self-Force of a Charged Particle in Classical Electrodynamics with a Cut-off

Cited by in corpus (12)

• External Sources in Lee-Wick Theories
• A Conducting surface in Lee-Wick electrodynamics
• Higher order derivative operators as quantum corrections
• Solutions of Podolsky's Electrodynamics Equation in the First-Order Formalism
• Algorithm for Probing the Unitarity of Topologically Massive Models
• Some Considerations About Podolsky-Axionic Electrodynamics
• Axion-modified photon propagator, Coulomb potential and Lamb-shift
• Features of planar Lee-Wick electrodynamics
• Dirichlet boundary condition for the Lee-Wick-like scalar model
• Interparticle potential energy for D-dimensional electromagnetic models from the corresponding scalar ones
• Is it Physically Sound to Add a Topologically Massive Term to Three-Dimensional Massive Electromagnetic or Gravitational Models ?
• Doubly special relativity as a non-local quantum field theory