Effective potential of scalar Lee-Wick pseudo-electrodynamics

TL;DR

This paper investigates the quantum corrections to the effective potential in scalar Lee-Wick pseudo-electrodynamics in 2+1 dimensions, analyzing how Lee-Wick mass influences potential stability.

Contribution

It provides the first detailed one-loop analysis of the scalar effective potential in Lee-Wick pseudo-electrodynamics, including quantum correction effects and stability considerations.

Findings

Quantum corrections depend on Lee-Wick mass and coupling constants.

Effective potential exhibits instability influenced by Lee-Wick mass.

Analysis enhances understanding of Lee-Wick models in lower dimensions.

Abstract

The study of effective potential for the scalar Lee-Wick pseudo-electrodynamics in one-loop is presented in this letter. The planar and non-local Lee-Wick pseudo-electrodynamics is so coupled to a complex scalar field sector in 1+2 dimensions, where we achieve the Lee-Wick pseudo-scalar electrodynamics. The effective action formalism is applied such that the quantum corrections are examined in one loop to the scalar effective potential as function of the classical field, of the Lee-Wick mass, and also of the coupling constants of this model. The instability of the effective potential is investigated due to Lee-Wick mass.