In this talk, we will analyze braided noncommutative field theories: spinor and scalar quantum electrodynamics, and phi^3 theory. The classical dynamics of these theories is formulated in the framework of L-infinity algebra, while quantization of these theories is performed using the algebraic BV formalism. We derive algebraic version of correlation functions, Schwinger-Dyson equations and Ward identities based on the homological perturbation lemma.