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arXiv · 2305.13103

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

Keisuke Konosu
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Abstract

We extend the formula for correlation functions of free scalar field theories and Dirac field theories in terms of quantum $A_{\infty}$ 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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Keisuke Konosu. 2023-05-22. Correlation functions involving Dirac fields from homotopy algebras II: the interacting theory. https://doi.org/10.1093/ptep%2Fptae105

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