Differentiating dilatons from the axions by their mixing with photons

Abstract The quanta of scalar fields like the dilaton ( $$\phi $$ ϕ ) of scale symmetry origin and those of pseudoscalar fields like the axion ( $$\phi '$$ ϕ ′ ) of Peccei–Quinn symmetry origin couple to di-photons through dimension-5 operators. In a magnetized medium (MM), they in principle ca...

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Main Authors: Ankur Chaubey, Manoj K. Jaiswal, Damini Singh, Venktesh Singh, Avijit K. Ganguly
Format: Article
Language:English
Published: SpringerOpen 2024-06-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-12851-1
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author Ankur Chaubey
Manoj K. Jaiswal
Damini Singh
Venktesh Singh
Avijit K. Ganguly
author_facet Ankur Chaubey
Manoj K. Jaiswal
Damini Singh
Venktesh Singh
Avijit K. Ganguly
author_sort Ankur Chaubey
collection DOAJ
description Abstract The quanta of scalar fields like the dilaton ( $$\phi $$ ϕ ) of scale symmetry origin and those of pseudoscalar fields like the axion ( $$\phi '$$ ϕ ′ ) of Peccei–Quinn symmetry origin couple to di-photons through dimension-5 operators. In a magnetized medium (MM), they in principle can interact with the two transverse ( $$A_{\parallel ,\perp }$$ A ‖ , ⊥ ) and one longitudinal ( $$A_{L}$$ A L ) degree of freedom of photons ( $$\gamma $$ γ ) as long as the total spin is conserved. However, of $$\phi $$ ϕ and $$\phi '$$ ϕ ′ , only one interacts with $$A_{L}$$ A L . We found that the ambient external magnetic field B and media break the intrinsic Lorentz symmetry of the system affecting the dispersion relation of the propagating modes. The boost and the rotational symmetry along and around B are however the ones that are preserved. Invoking C, P, and T symmetries, we analyze the mixing dynamics of $$\phi \gamma $$ ϕ γ and $$\phi '\gamma $$ ϕ ′ γ systems and the structural difference in their mixing pattern. It is noted that while the $$\phi \gamma $$ ϕ γ mixing matrix is $$3\times 3$$ 3 × 3 , the $$\phi ^{\prime }\gamma $$ ϕ ′ γ is governed by a $$4\times 4$$ 4 × 4 mixing matrix. Using the exact solutions of both systems in MM, we estimate the strength of the electromagnetic (EM) signals available due to these interactions, which are found to be different in strength. We conclude by commenting on (a) the possibility of detecting this difference in polarimetric observables of the EM signal, (b) the implications of these different mixing patterns with respect to the minimum detectable signal for astrophysical observations, and (c) the variation in the energy of the dispersed photons of different polarization with the variation in B.
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spelling doaj.art-4fd901b17193406586b6eea8b46c208d2024-07-21T11:31:17ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-06-0184613110.1140/epjc/s10052-024-12851-1Differentiating dilatons from the axions by their mixing with photonsAnkur Chaubey0Manoj K. Jaiswal1Damini Singh2Venktesh Singh3Avijit K. Ganguly4Awdhoot Bhagwan Ram PG. College, AnparaGovt. Polytechnic BaijpurDept. of Physics, Gujarat Arts and Science College, EllisbridgeCentral University of South Bihar (Gaya)Institute of Science, Department of Physics, Banaras Hindu UniversityAbstract The quanta of scalar fields like the dilaton ( $$\phi $$ ϕ ) of scale symmetry origin and those of pseudoscalar fields like the axion ( $$\phi '$$ ϕ ′ ) of Peccei–Quinn symmetry origin couple to di-photons through dimension-5 operators. In a magnetized medium (MM), they in principle can interact with the two transverse ( $$A_{\parallel ,\perp }$$ A ‖ , ⊥ ) and one longitudinal ( $$A_{L}$$ A L ) degree of freedom of photons ( $$\gamma $$ γ ) as long as the total spin is conserved. However, of $$\phi $$ ϕ and $$\phi '$$ ϕ ′ , only one interacts with $$A_{L}$$ A L . We found that the ambient external magnetic field B and media break the intrinsic Lorentz symmetry of the system affecting the dispersion relation of the propagating modes. The boost and the rotational symmetry along and around B are however the ones that are preserved. Invoking C, P, and T symmetries, we analyze the mixing dynamics of $$\phi \gamma $$ ϕ γ and $$\phi '\gamma $$ ϕ ′ γ systems and the structural difference in their mixing pattern. It is noted that while the $$\phi \gamma $$ ϕ γ mixing matrix is $$3\times 3$$ 3 × 3 , the $$\phi ^{\prime }\gamma $$ ϕ ′ γ is governed by a $$4\times 4$$ 4 × 4 mixing matrix. Using the exact solutions of both systems in MM, we estimate the strength of the electromagnetic (EM) signals available due to these interactions, which are found to be different in strength. We conclude by commenting on (a) the possibility of detecting this difference in polarimetric observables of the EM signal, (b) the implications of these different mixing patterns with respect to the minimum detectable signal for astrophysical observations, and (c) the variation in the energy of the dispersed photons of different polarization with the variation in B.https://doi.org/10.1140/epjc/s10052-024-12851-1
spellingShingle Ankur Chaubey
Manoj K. Jaiswal
Damini Singh
Venktesh Singh
Avijit K. Ganguly
Differentiating dilatons from the axions by their mixing with photons
European Physical Journal C: Particles and Fields
title Differentiating dilatons from the axions by their mixing with photons
title_full Differentiating dilatons from the axions by their mixing with photons
title_fullStr Differentiating dilatons from the axions by their mixing with photons
title_full_unstemmed Differentiating dilatons from the axions by their mixing with photons
title_short Differentiating dilatons from the axions by their mixing with photons
title_sort differentiating dilatons from the axions by their mixing with photons
url https://doi.org/10.1140/epjc/s10052-024-12851-1
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