Dirichlet boundary condition for the Lee-Wick-like scalar model

Abstract

Lee-Wick-like scalar model near a Dirichlet plate is considered in this work. The modified propagator for the scalar field due to the presence of a Dirichlet boundary is computed, and the interaction between the plate and a point-like scalar charge is analysed. The non-validity of the image method is investigated and the results are compared with the corresponding ones obtained for the Lee-Wick gauge field and for the standard Klein-Gordon field.

11 pages, 4 figures, accepted for publication in EPJC

References in corpus (15)

• The Lee-Wick Standard Model
• Classical and quantum stability of higher-derivative dynamics
• On the Quantisation of Complex Higher Derivative Theories and Avoiding the Ostrogradsky Ghost
• A Higher-Derivative Lee-Wick Standard Model
• Minimal Lee-Wick Extension of the Standard Model
• Ultraviolet Properties of the Higgs Sector in the Lee-Wick Standard Model
• Field theoretic description of partially reflective surfaces
• Interactions between delta-like sources and potentials
• Higher order derivative operators as quantum corrections
• The point-charge self-energy in Lee-Wick Theories
• New point-like sources and a conducting surface in Maxwell-Chern-Simons electrodynamics
• On The Influence of Two Parallel Plates on Atomic Levels
• Dispersion forces between an atom and a perfectly conducting wedge
• Dual symmetry in a generalized Maxwell theory
• Atom-wall dispersive forces from master equation formalism