  We investigate the phase transition of the four-dimensional single-component
$\phi^4$ theory on the lattice using the tensor renormalization group method.
We have examined the hopping parameter dependence of the bond energy and the
vacuum condensation of the scalar field $\langle\phi\rangle$ at a finite
quartic coupling $\lambda$ on large volumes up to $V=1024^4$ in order to detect
the spontaneous breaking of the $\mathbb{Z}_2$ symmetry. Our results show that
the system undergoes the weak first-order phase transition at a certain
critical value of the hopping parameter. We also make a comparative study of
the three-dimensional $\phi^4$ theory and find that the properties of the phase
transition are consistent with the universality class of the three-dimensional
Ising model.
