Real time thermal photon-photon interactions in the mixed space

Using the effective Lagrangian for the low energy/temperature of photon–photon interaction and the lowest-order photon self-energy is calculated in the Real-Time Formalism (RTF) for an arbitrary path specified by the σ-parameter within the new basis. The causal Green’s functions (without chemical...

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Main Authors: Ahmed, M. A. A., Zainuddin, H., Shah, N. M., Ladrem, Madjid Lakhdar Hamou
Format: Article
Published: World Scientific 2022
Online Access:http://psasir.upm.edu.my/id/eprint/102994/
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author Ahmed, M. A. A.
Zainuddin, H.
Shah, N. M.
Ladrem, Madjid Lakhdar Hamou
author_facet Ahmed, M. A. A.
Zainuddin, H.
Shah, N. M.
Ladrem, Madjid Lakhdar Hamou
author_sort Ahmed, M. A. A.
building UPM Institutional Repository
collection Online Access
description Using the effective Lagrangian for the low energy/temperature of photon–photon interaction and the lowest-order photon self-energy is calculated in the Real-Time Formalism (RTF) for an arbitrary path specified by the σ-parameter within the new basis. The causal Green’s functions (without chemical potential) for the scalar field are evaluated to derive the usual thermal propagators in the mixed space. It is shown that the symmetric propagator does not depend on σ-parameter. Furthermore, the photon self-energy is used to calculate some electromagnetic properties, such as dielectric tensor and velocity of light from photon self-energy in the mixed space that greatly simplifies calculations in RTF. Their time dependence is investigated, and a comparison between our results and those obtained by other models is discussed.
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institution Universiti Putra Malaysia
institution_category Local University
last_indexed 2025-11-15T13:40:28Z
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publisher World Scientific
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spelling upm-1029942025-04-21T05:04:31Z http://psasir.upm.edu.my/id/eprint/102994/ Real time thermal photon-photon interactions in the mixed space Ahmed, M. A. A. Zainuddin, H. Shah, N. M. Ladrem, Madjid Lakhdar Hamou Using the effective Lagrangian for the low energy/temperature of photon–photon interaction and the lowest-order photon self-energy is calculated in the Real-Time Formalism (RTF) for an arbitrary path specified by the σ-parameter within the new basis. The causal Green’s functions (without chemical potential) for the scalar field are evaluated to derive the usual thermal propagators in the mixed space. It is shown that the symmetric propagator does not depend on σ-parameter. Furthermore, the photon self-energy is used to calculate some electromagnetic properties, such as dielectric tensor and velocity of light from photon self-energy in the mixed space that greatly simplifies calculations in RTF. Their time dependence is investigated, and a comparison between our results and those obtained by other models is discussed. World Scientific 2022 Article PeerReviewed Ahmed, M. A. A. and Zainuddin, H. and Shah, N. M. and Ladrem, Madjid Lakhdar Hamou (2022) Real time thermal photon-photon interactions in the mixed space. International Journal of Modern Physics A, 37 (5). art. no. 2250008. pp. 1-23. ISSN 0217-751X; eISSN: 0217-751X https://www.worldscientific.com/doi/abs/10.1142/S0217751X22500087 10.1142/S0217751X22500087
spellingShingle Ahmed, M. A. A.
Zainuddin, H.
Shah, N. M.
Ladrem, Madjid Lakhdar Hamou
Real time thermal photon-photon interactions in the mixed space
title Real time thermal photon-photon interactions in the mixed space
title_full Real time thermal photon-photon interactions in the mixed space
title_fullStr Real time thermal photon-photon interactions in the mixed space
title_full_unstemmed Real time thermal photon-photon interactions in the mixed space
title_short Real time thermal photon-photon interactions in the mixed space
title_sort real time thermal photon-photon interactions in the mixed space
url http://psasir.upm.edu.my/id/eprint/102994/
http://psasir.upm.edu.my/id/eprint/102994/
http://psasir.upm.edu.my/id/eprint/102994/