\mathcal{P}\mathcal{T}-symmetric -g\varphi^4 theory

The scalar field theory with potential V(\varphi)=\textstyle{\frac{1}{2}} m^2\varphi^2-\textstyle{\frac{1}{4}} g\varphi^4 (g>0) is ill-defined as a Hermitian theory but in a non-Hermitian \mathcal{P}\mathcal{T}-symmetric framework it is well-defined, and it has a positive real energy spectrum for the case of spacetime dimension D=1. While the methods used in the literature do not easily... Show more