Correlation functions involving Dirac fields from homotopy algebras II: the interacting theory
High Energy Physics - Theory
2024-11-26 v3
Abstract
We extend the formula for correlation functions of free scalar field theories and Dirac field theories in terms of quantum 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.
Keywords
Cite
@article{arxiv.2305.13103,
title = {Correlation functions involving Dirac fields from homotopy algebras II: the interacting theory},
author = {Keisuke Konosu},
journal= {arXiv preprint arXiv:2305.13103},
year = {2024}
}
Comments
36 pages, 16 figures; v2: section 2 and section 4 are improved, the definition of omega_n is modified, text improved and corrected; v3: minor changes, published in PTEP