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Perturbative BV-BFV formalism with homotopic renormalization: a case study (2210.03009v3)
Published 6 Oct 2022 in math-ph, hep-th, math.MP, and math.QA
Abstract: We report a rigorous quantization of topological quantum mechanics on $\mathbb{R}_{\geqslant 0}$ and $\mathbf{I}= [0, 1]$ in perturbative BV-BFV formalism. Costello's homotopic renormalization is extended, and incorporated in our construction. Moreover, BV quantization of the same model studied in our previous work is derived from the BV-BFV quantization, leading to a comparison between different interpretations of ''state'' in these two frameworks.