构型空间上的Dirac算子与Yang-Mills量子场论

IF 2.8 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B Pub Date : 2025-09-04 DOI:10.1016/j.nuclphysb.2025.117104

Johannes Aastrup , Jesper Møller Grimstrup

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引用次数: 0

摘要

本文讨论了组态空间上的狄拉克算子与杨-米尔斯量子场论之间的联系。我们首先证明了Yang-Mills量子场论的自对偶和反自对偶扇区的Hamilton算子是由在规范连接的组态空间上表述的Dirac方程的幺正变换产生的。其次，我们在组态空间上构造了一个bot - dirac算子，并演示了耦合到费米子扇区的Yang-Mills量子场论的Hamilton算子是如何从其正方形中出现的。最后，我们讨论了在这个框架中出现的谱不变量。

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Dirac operators on configuration spaces and Yang-Mills quantum field theory

In this paper we discuss a connection between Dirac operators on configuration spaces and Yang-Mills quantum field theory. We first show that the Hamilton operators of the self-dual and anti-self-dual sectors of a Yang-Mills quantum field theory emerge from unitary transformations of a Dirac equation formulated on a configuration space of gauge connections. Secondly, we formulate a Bott-Dirac operator on the configuration space and demonstrate how the Hamilton operator of a Yang-Mills quantum field theory coupled to a fermionic sector emerges from its square. Finally, we discuss a spectral invariant that emerges in this framework.

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来源期刊

Nuclear Physics B 物理-物理：粒子与场物理

CiteScore

5.50

自引率

7.10%

发文量

302

审稿时长

1 months

期刊介绍： Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.