One-loop photon’s effective action in the noncommutative scalar QED3

• Autor(a) principal: Ghasemkhani, M.
• Data de Publicação: 2020
• Outros Autores: Bufalo, R., Rahmanpour, V., Alipour, M.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UFLA
• Texto Completo: http://repositorio.ufla.br/jspui/handle/1/43165; https://journals.aps.org/prd/abstract/10.1103/PhysRevD.101.025001
• topic: Noncommutative field theories; Quantum electrodynamics; Quantum field theory; Teorias de Campo Não Comutativas; Eletrodinâmica quântica; Teoria quântica de campos

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 ⟨ A A ⟩ , ⟨ A A A ⟩ , and ⟨ A A A A ⟩ . 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.