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: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-05-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14238-2 |
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| Summary: | 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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| ISSN: | 1434-6052 |