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.

arXiv comment5 latex pages

References in corpus (16)

• The Lee-Wick Standard Model
• Minimal Lee-Wick Extension of the Standard Model
• Searching for Lee-Wick Gauge Bosons at the LHC
• Neutrino Masses in the Lee-Wick Standard Model
• How can one probe Podolsky Electrodynamics?
• Electroweak Precision Data and the Lee-Wick Standard Model
• One-Loop Renormalization of Lee-Wick Gauge Theory
• Electroweak precision constraints on the Lee-Wick Standard Model
• External Sources in Lee-Wick Theories
• Unique Identification of Lee-Wick Gauge Bosons at Linear Colliders
• Constraints on the Lee-Wick Higgs Sector
• The process gg -> h_0 -> gamma gamma in the Lee-Wick Standard Model
• Global Symmetries and Renormalizability of Lee-Wick Theories
• Vacuum energies due to delta-like currents: simulating classical objects along branes with arbitrary codimensions
• Vacuum energies and multipole interactions
• Exploring Lee-Wick finite electrodynamics

Cited by in corpus (12)

• Lorentz-violating scenarios in a thermal reservoir
• Maxwell electrodynamics modified by CPT-even and Lorentz-violating dimension-6 higher-derivative terms
• Reduction of order and Fadeev-Jackiw formalism in generalized electrodynamics
• Maxwell electrodynamics modified by a CPT-odd dimension-five higher-derivative term
• 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
• Nonminimal planar electrodynamics modified by higher-derivative terms
• The point-charge self-energy in a nonminimal Lorentz violating Maxwell Electrodynamics
• Dirichlet boundary condition for the Lee-Wick-like scalar model
• Interparticle potential energy for D-dimensional electromagnetic models from the corresponding scalar ones
• Non-perturbative Lee-Wick gauge theory: Towards Confinement and RGE with strong couplings