Non-perturbative tests for the Asymptotic Freedom in the $\mathcal{P}\mathcal{T}$-symmetric $(-{\varphi }^4{)}_{3+1}$ theory

Abouzeid Shalaby, Suleiman S. Al-Thoyaib

In the literature, the asymptotic freedom property of the $(-{\varphi }^4)$ theory is always concluded from real-line calculations while the theory is known to be a non-real-line one. In…