Study of charge-conjugation invariance in quantum electrodynamics with SIM(2) symmetry
| Autor: | Masoumeh Ghasemkhani, Zina Haghgouyan |
|---|---|
| Jazyk: | English<br />Persian |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Iranian Journal of Physics Research, Vol 23, Iss 1, Pp 85-97 (2023) |
| Druh dokumentu: | article |
| ISSN: | 1682-6957 2345-3664 |
| DOI: | 10.47176/ijpr.23.1.81540 |
| Popis: | In this paper, we consider the four-dimensional electrodynamics with SIM(2) symmetry in a very special relativity framework. First, we examine the charge-conjugation symmetry of the action at the tree (classical) level and show that the action in this framework is charge-conjugation invariant. Then, to investigate perturbatively the preservation of charge-conjugation symmetry at the loop (quantum) level, we shall focus on one-loop graphs with an odd number of photon external lines. To this end, we use the effective action approach to obtain the general form of the photon odd-point function and study the behavior of the one and three-point function of the photon under the charge-conjugation transformation. Our analysis shows that the total amplitude of the one and three-point function vanishes and hence the charge-conjugation symmetry is preserved at the quantum level. Next, we use a non-perturbative method to show that this symmetry exists at the quantum level (to all orders) and the total amplitude of all photon's odd-point functions vanishes. |
| Databáze: | Directory of Open Access Journals |
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