同调代数中涉及狄拉克场的相关函数 II：相互作用理论

IF 4.3 3区材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC ACS Applied Electronic Materials 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

ACS Applied Electronic Materials Multiple-

CiteScore

7.20

自引率

4.30%

发文量

567