We discuss the stochastic sine--Gordon model in 1+1 dimensions from the perspective of interacting (algebraic) field theory, following the approach developed first in [DDRZ22] and then in [BDR24]. The guiding idea is to realize the random field as an element of a suitable algebra of functional-valued distributions, so that tools from microlocal analysis can be systematically employed to control products, singularities, and the emergence of counterterms. Within this framework, renormalization is implemented in an Epstein--Glaser spirit, i.e. by local and causal constructions rather than by choosing a specific regularization scheme.

In the ultraviolet-cutoff theory, we construct correlation functions and moments of the stochastic sine--Gordon field as convergent power series in the coupling, and we analyze their stability under the removal of auxiliary parameters. A key outcome is a robust perturbative construction that also admits a controlled classical limit \hbar -> 0^+, thereby connecting the stochastic dynamics with the corresponding interacting field theory. Finally, we briefly comment on the bosonization link between sine--Gordon and Thirring: while our focus is entirely on the sine--Gordon analysis of [BDR24], this correspondence provides a natural bridge to the spinorial setting investigated in [BCDR24].