论文标题
扰动代数QFT中的BV量化：基本概念和观点
BV quantization in perturbative algebraic QFT: Fundamental concepts and perspectives
论文作者
论文摘要
本文主要基于我在2018年10月5日至6日举行的“ Noether定理的哲学和物理学”上介绍的演讲，但它还包含一些原始结果，这些结果受到与数学家，物理学家，物理学家和哲学家的讨论的启发，内容涉及理解规范不变性的内在含义的问题。在这项工作中，我认为遵循局部，变形和同源性的原则，自然而然地使用Batalin-Vilkovisky（BV）形式主义来量化规格理论。 我从温和的BV框架开始，然后进行一些新的结果和更具投机性的审议。在经典理论中，我使用Moller Maps的概念介绍了有关经典BV操作员的新观点。在量子理论中，我在Buchholz和Fredenhagen最近根据局部S-膜上提出的框架中提出了一些关于异常病房身份的表述的宽松想法。
This paper is mainly based on the talk I presented at the meeting "The Philosophy and Physics of Noether's Theorems" that took place 5-6 October 2018, but it also contains some original results that were inspired by discussions with mathematicians, physicists and philosophers about the problem of understanding the intrinsic meaning of gauge invariance. In this work, I argue that following the principles of locality, deformation and homology, one naturally ends up using the Batalin-Vilkovisky (BV) formalism in quantizing gauge theories. I start with the gentle introduction into the BV framework and then I proceed to some new results and more speculative deliberations. In the classical theory, I present a new perspective on the classical BV operator, using the notion of Moller maps. In the quantum theory, I present some loose ideas on the formulation of anomalous master Ward identity in the framework proposed recently by Buchholz and Fredenhagen, based on local S-matrices.
