同调代数中涉及狄拉克场的相关函数 II：相互作用理论

IF 3.5 4区物理与天体物理 Q1 Physics and Astronomy

Progress of Theoretical and Experimental Physics Pub Date : 2024-07-10 DOI:10.1093/ptep/ptae105

Keisuke Konosu

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引用次数: 0

摘要

我们将 arXiv:2305.11634 中提出的自由标量场理论和狄拉克场理论的量子 A∞ 代数相关函数公式扩展到一般标量-狄拉克系统。我们得到的结果是，与前一篇论文中相同的公式在这种情况下成立。我们证明了我们公式中的相关函数满足施文格-戴森方程。因此，我们证实我们公式中的相关函数表达了量子场论普通方法中的相关函数。

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Correlation functions involving Dirac fields from homotopy algebras II: the interacting theory

We extend the formula for correlation functions of free scalar field theories and Dirac field theories in terms of quantum A∞ algebras presented in arXiv:2305.11634 to general scalar-Dirac systems. We obtain the result that the same formula as in the previous paper holds in this case. We show that correlation functions from our formula satisfy the Schwinger-Dyson equations. We therefore confirm that correlation functions from our formula express correlation functions from the ordinary approach of quantum field theory.

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来源期刊

Progress of Theoretical and Experimental Physics PHYSICS, MULTIDISCIPLINARY-PHYSICS, PARTICLES & FIELDS

CiteScore

12.00

自引率

5.70%

发文量

148

审稿时长

17 weeks

期刊介绍： Progress of Theoretical and Experimental Physics (PTEP) is an international journal that publishes articles on theoretical and experimental physics. PTEP is a fully open access, online-only journal published by the Physical Society of Japan. PTEP is the successor to Progress of Theoretical Physics (PTP), which terminated in December 2012 and merged into PTEP in January 2013. PTP was founded in 1946 by Hideki Yukawa, the first Japanese Nobel Laureate. PTEP, the successor journal to PTP, has a broader scope than that of PTP covering both theoretical and experimental physics. PTEP mainly covers areas including particles and fields, nuclear physics, astrophysics and cosmology, beam physics and instrumentation, and general and mathematical physics.