One-loop photon’s effective action in the noncommutative scalar QED3
| Autor: | Rodrigo Bufalo, M. Alipour, M. Ghasemkhani, V. Rahmanpour |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
High Energy Physics - Theory
Physics Photon Spacetime 010308 nuclear & particles physics High Energy Physics::Phenomenology Scalar (mathematics) FOS: Physical sciences Computer Science::Digital Libraries 01 natural sciences Noncommutative geometry symbols.namesake Planar High Energy Physics - Theory (hep-th) 0103 physical sciences Homogeneous space symbols 010306 general physics Effective action Lagrangian Mathematical physics |
| Zdroj: | Physical Review |
| ISSN: | 2470-0029 2470-0010 |
| DOI: | 10.1103/physrevd.101.025001 |
| Popis: | In this paper, we consider the evaluation of the effective action for photons coupled to charged scalar fields in the framework of a $(2+1)$-dimensional noncommutative spacetime. In order to determine the noncommutative Maxwell Lagrangian density, we follow a perturbative approach, by integrating out the charged scalar fields, to compute the respective graphs for the vev's $\left\langle AA \right\rangle$, $\left\langle AAA \right\rangle$ and $\left\langle AAAA \right\rangle$. Surprisingly, it is shown that these contributions are planar and that, in the highly noncommutative limit, correspond to the Maxwell effective action and its higher-derivative corrections. It is explicitly verified that the one-loop effective action is gauge invariant, as well as under discrete symmetries: parity, time reversal and charge conjugation. Moreover, a comparison of the main results with the noncommutative QED$_{3}$ is established. In particular, the main difference is the absence of parity violating terms in the photon's effective action coming from integrating out the charged scalar fields. 18 pages, 3 figures, published version |
| Databáze: | OpenAIRE |
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