https://doi.org/10.1140/epjc/s10052-025-14238-2
Regular Article - Theoretical Physics
Reconstructing Fractional Holographic Dark Energy with scalar and gauge fields
1
Department of Physics, Sardar Vallabhbhai National Institute of Technology, 395007, Surat, Gujarat, India
2
Departamento de Física, Centro de Matemática e Aplicações (CMA-UBI), Universidade da Beira Interior, Marquês d’Avila e Bolama, 6200-001, Covilhã, Portugal
3
International Centre for Space and Cosmology, 380009, Ahmedabad, Gujarat, India
Received:
8
February
2025
Accepted:
27
April
2025
Published online:
12
May
2025
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 (
) range, viz. 
. 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., 
, 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 
CDM behaviour in the far-future limit 
. In summary, the recent perspective introduced by FHDE can indeed be cast as a promising aspirant through the use of prominent field frameworks.
© The Author(s) 2025
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.
