The paper establishes the BV quantization formalism for noncommutative effective field theories, proves compatibility of the quantum master equation with the renormalization group flow, and quantizes a noncommutative Chern-Simons theory on flat three-manifolds.
Brini, On the Gopakumar-Ooguri-Vafa correspondence for Clifford- Klein 3-manifolds
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The Batalin-Vilkovisky formalism in noncommutative effective field theory
The paper establishes the BV quantization formalism for noncommutative effective field theories, proves compatibility of the quantum master equation with the renormalization group flow, and quantizes a noncommutative Chern-Simons theory on flat three-manifolds.