Reconstructing Fractional Holographic Dark Energy with scalar and gauge fields

Abstract We revisit the Fractional Holographic Dark Energy (FHDE) model to reconstruct it by means of dynamic candidates such as (i) Quintessence, (ii) K-essence, (iii) Dilaton, (iv) Yang–Mills condensate, (v) DBI-essence, and (vi) Tachyonic fields in a flat Friedmann–Robertson–Walker (FRW) Universe...

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Main Authors: Ayush Bidlan, Paulo Moniz, Oem Trivedi
Format: Article
Language:English
Published: SpringerOpen 2025-05-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-14238-2
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author Ayush Bidlan
Paulo Moniz
Oem Trivedi
author_facet Ayush Bidlan
Paulo Moniz
Oem Trivedi
author_sort Ayush Bidlan
collection DOAJ
description Abstract We revisit the Fractional Holographic Dark Energy (FHDE) model to reconstruct it by means of dynamic candidates such as (i) Quintessence, (ii) K-essence, (iii) Dilaton, (iv) Yang–Mills condensate, (v) DBI-essence, and (vi) Tachyonic fields in a flat Friedmann–Robertson–Walker (FRW) Universe. In particular, the dark-energy possibilities (i)–(vi) are formulated through suitable field descriptions. Being concrete, we establish a comprehensive correspondence between FHDE and suitable scalar and gauge field frameworks that co-substantiate our investigation and subsequent discussion. In more detail, we methodically compute the corresponding Equation of State (EoS) parameters and field (kinetic and potential) features for the fractional parameter ( $$\alpha $$ α ) range, viz. $$1<\alpha \le 2$$ 1 < α ≤ 2 . Conclusively, our results show that the modifications brought by the fractional features satisfactorily enable late-time cosmic acceleration, together with avoiding quantum instabilities by preventing the EoS from entering the phantom divide i.e., $$\omega (z)\rightarrow -\infty $$ ω ( z ) → - ∞ , which is a common issue in standard scalar field models without fractional dynamics (e.g., K-essence field). Our findings further indicate that fractional calculus attributes can be significant in addressing the challenges of dark-energy models by offering a robust framework to prospect late-time acceleration and properly fitting observational constraints. Notably, we find that as the fractional features start to dominate, the EoS parameter of all the effective field configurations asymptotically approaches a $$\varLambda $$ Λ CDM behaviour in the far-future limit $$z\rightarrow -\,1$$ z → - 1 . In summary, the recent perspective introduced by FHDE can indeed be cast as a promising aspirant through the use of prominent field frameworks.
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spelling doaj-art-24443a1bbcfe4845a1a9a152e9adcd572025-08-20T02:25:17ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-05-0185511910.1140/epjc/s10052-025-14238-2Reconstructing Fractional Holographic Dark Energy with scalar and gauge fieldsAyush Bidlan0Paulo Moniz1Oem Trivedi2Department of Physics, Sardar Vallabhbhai National Institute of TechnologyDepartamento de Física, Centro de Matemática e Aplicações (CMA-UBI), Universidade da Beira InteriorInternational Centre for Space and CosmologyAbstract We revisit the Fractional Holographic Dark Energy (FHDE) model to reconstruct it by means of dynamic candidates such as (i) Quintessence, (ii) K-essence, (iii) Dilaton, (iv) Yang–Mills condensate, (v) DBI-essence, and (vi) Tachyonic fields in a flat Friedmann–Robertson–Walker (FRW) Universe. In particular, the dark-energy possibilities (i)–(vi) are formulated through suitable field descriptions. Being concrete, we establish a comprehensive correspondence between FHDE and suitable scalar and gauge field frameworks that co-substantiate our investigation and subsequent discussion. In more detail, we methodically compute the corresponding Equation of State (EoS) parameters and field (kinetic and potential) features for the fractional parameter ( $$\alpha $$ α ) range, viz. $$1<\alpha \le 2$$ 1 < α ≤ 2 . Conclusively, our results show that the modifications brought by the fractional features satisfactorily enable late-time cosmic acceleration, together with avoiding quantum instabilities by preventing the EoS from entering the phantom divide i.e., $$\omega (z)\rightarrow -\infty $$ ω ( z ) → - ∞ , which is a common issue in standard scalar field models without fractional dynamics (e.g., K-essence field). Our findings further indicate that fractional calculus attributes can be significant in addressing the challenges of dark-energy models by offering a robust framework to prospect late-time acceleration and properly fitting observational constraints. Notably, we find that as the fractional features start to dominate, the EoS parameter of all the effective field configurations asymptotically approaches a $$\varLambda $$ Λ CDM behaviour in the far-future limit $$z\rightarrow -\,1$$ z → - 1 . In summary, the recent perspective introduced by FHDE can indeed be cast as a promising aspirant through the use of prominent field frameworks.https://doi.org/10.1140/epjc/s10052-025-14238-2
spellingShingle Ayush Bidlan
Paulo Moniz
Oem Trivedi
Reconstructing Fractional Holographic Dark Energy with scalar and gauge fields
European Physical Journal C: Particles and Fields
title Reconstructing Fractional Holographic Dark Energy with scalar and gauge fields
title_full Reconstructing Fractional Holographic Dark Energy with scalar and gauge fields
title_fullStr Reconstructing Fractional Holographic Dark Energy with scalar and gauge fields
title_full_unstemmed Reconstructing Fractional Holographic Dark Energy with scalar and gauge fields
title_short Reconstructing Fractional Holographic Dark Energy with scalar and gauge fields
title_sort reconstructing fractional holographic dark energy with scalar and gauge fields
url https://doi.org/10.1140/epjc/s10052-025-14238-2
work_keys_str_mv AT ayushbidlan reconstructingfractionalholographicdarkenergywithscalarandgaugefields
AT paulomoniz reconstructingfractionalholographicdarkenergywithscalarandgaugefields
AT oemtrivedi reconstructingfractionalholographicdarkenergywithscalarandgaugefields