Stochastic Burgers equation from long range exclusion interactions

We consider one-dimensional exclusion processes with long jumps given by a transition probability of the form $p_n(?)=s(?)+{\gamma }_{n}a(?)$, such that its symmetric part $s(?)$ is irreducible with finite variance and its antisymmetric part is absolutely bounded by $s(?)$. We prove that under diffusive time scaling and strength of asymmetry $\sqrt{n}{\gamma }_n{\to }_{n\to \infty }b\ne 0$, the equilibrium density fluctuations are given by the unique energy solution of the stochastic Burgers equation.