The point-charge self-energy in Lee-Wick Theories

Abstract

In this paper we study the ultraviolet and infrared behaviour of the self energy of a point-like charge in the vector and scalar Lee-Wick electrodynamics in a $d+1$ dimensional space time. It is shown that in the vector case, the self energy is strictly ultraviolet finite up to $d=3$ spatial dimensions, finite in the renormalized sense for any $d$ odd, infrared divergent for $d=2$ and ultraviolet divergent for $d>2$ even. On the other hand, in the scalar case, the self energy is striclty finite for $d\le 3$, and finite, in the renormalized sense, for any $d$ odd.

5 latex pages

References in corpus (10)

• The Lee-Wick Standard Model
• Minimal Lee-Wick Extension of the Standard Model
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• Vacuum energies due to delta-like currents: simulating classical objects along branes with arbitrary codimensions
• Vacuum energies and multipole interactions

Cited by in corpus (5)

• Higher order derivative operators as quantum corrections
• Spin- and velocity-dependent non-relativistic potentials in modified electrodynamics
• Higher order derivatives extension of Maxwell-Chern-Simons electrodynamics in the presence of field sources and material boundaries
• The point-charge self-energy in a nonminimal Lorentz violating Maxwell Electrodynamics
• Dirichlet boundary condition for the Lee-Wick-like scalar model