Correlation functions involving Dirac fields from homotopy algebras II: the interacting theory
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866912131255894016 |
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| author | Konosu, Keisuke |
| author_facet | Konosu, Keisuke |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_13103 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Correlation functions involving Dirac fields from homotopy algebras II: the interacting theory Konosu, Keisuke High Energy Physics - Theory 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. |
| title | Correlation functions involving Dirac fields from homotopy algebras II: the interacting theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2305.13103 |