二维微扰标量QFT与Atiyah-Segal胶合

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Advances in Theoretical and Mathematical Physics Pub Date : 2019-12-24 DOI:10.4310/ATMP.2021.v25.n7.a5

Santosh Kandel, P. Mnev, K. Wernli

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引用次数: 2

摘要

研究了带边界流形上具有多项式(或幂级数)势的二维质量标量场理论的微扰量化问题。证明了它符合Atiyah-Segal的泛函量子场论框架。特别地，我们证明了用曲面上点的组态空间上的积分来定义的微扰配分函数满足一个Atiyah-Segal型胶合公式。蝌蚪(短环)在粘接下表现非凡，在结果中起着至关重要的作用。

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Two-dimensional perturbative scalar QFT and Atiyah–Segal gluing

We study the perturbative quantization of 2-dimensional massive scalar field theory with polynomial (or power series) potential on manifolds with boundary. We prove that it fits into the functorial quantum field theory framework of Atiyah-Segal. In particular, we prove that the perturbative partition function defined in terms of integrals over configuration spaces of points on the surface satisfies an Atiyah-Segal type gluing formula. Tadpoles (short loops) behave nontrivially under gluing and play a crucial role in the result.

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来源期刊

Advances in Theoretical and Mathematical Physics 物理-物理：粒子与场物理

CiteScore

2.20

自引率

6.70%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Theoretical and Mathematical Physics is a bimonthly publication of the International Press, publishing papers on all areas in which theoretical physics and mathematics interact with each other.