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The need for a cutoff in the Lamb shift calculation suggests that high-energyvirtual photons do not interact with the real particles. In this study, weassume that the creation of high-energy virtual particles is suppressed by aBoltzmann factor $e^{-\beta E}$ and apply this Boltzmann factor to theeffective potential of the $\phi^4$ theory. Consequently, the effectivepotential is transformed into $V(\phi) = 1/4!\phi^4 + \beta^{-4} \left \{\phi^3 K_3(\phi) -\phi^2 K_2 (\phi) \right\}$. $K_n(x)$ is the modified Besselfunction of the second kind of order $n$. We demonstrate that the minimum ofthe effective potential occurs for $\phi \ne 0$.

Modification of the effective potential of $\phi^4$ theory using the Boltzmann factor