具有同伦重整化的微扰BV-BFV形式：一个案例研究

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2025-02-28 DOI:10.1007/s11005-025-01913-4

Minghao Wang, Gongwang Yan

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引用次数: 0

摘要

我们报道了在\(\mathbb {R}_{\geqslant 0}\)和\(\textbf{I}= [0, 1]\)上的微扰BV-BFV形式的拓扑量子力学的严格量子化。本文对Costello的同伦重整化进行了扩展，并将其纳入到本文的构造中。因此，我们得到了修正量子主方程解的代数表征。此外，前人研究的同一模型（Wang and Yan 2022）的BV量子化是由BV- bfv量子化推导而来的，这使得在有边界流形的量子场论研究中比较了两种不同的框架。

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Perturbative BV-BFV formalism with homotopic renormalization: a case study

We report a rigorous quantization of topological quantum mechanics on \(\mathbb {R}_{\geqslant 0}\) and \(\textbf{I}= [0, 1]\) in the perturbative BV-BFV formalism. Costello’s homotopic renormalization is extended and incorporated in our construction. As a consequence, we obtain an algebraic characterization of the solutions to the modified quantum master equation. In addition, BV quantization of the same model studied in previous work (Wang and Yan 2022) is derived from the BV-BFV quantization, leading to a comparison between two different frameworks in the study of quantum field theories on manifolds with boundaries.

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.