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Convergence to the Dynamical $Φ^4_3$ Model under a Vanishing Quintic Perturbation I: A Paracontrolled Approach
We study local convergence to the dynamical $Φ^4_3$ model under a vanishing quintic perturbation. More precisely, on the three-dimensional torus we consider $$\partial_tu_\varepsilon=Δu_\varepsilon-\varepsilon^αu_\varepsilon^5+ξ_\varepsilon+C_\varepsilon u_\varepsilon+\widetilde C_\varepsilon u_\var
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