论文标题
扰动BV-BFV形式主义具有同型重归于:案例研究
Perturbative BV-BFV formalism with homotopic renormalization: a case study
论文作者
论文摘要
我们报告了$ \ mathbb {r} _ {\ geqslant 0} $和$ \ mathbf {i} = [0,1] $在扰动bv-bfv形式上的严格量子量子力学。 Costello的同型重新归一化已扩展,并在我们的建筑中纳入。此外,在我们以前的工作中研究的同一模型的BV量化是从BV-BFV量化得出的,从而在这两个框架中进行了比较,从而比较了“状态”的不同解释。
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.