Two-field Models of Dark Energy with Equation of State Across -1

Hong Li; Xiao-Fei Zhang; Xinmin Zhang; Yun-Song Piao

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Two-field Models of Dark Energy with Equation of State Across -1

Xiao-fei Zhang, Hong Li, Yun-Song Piao, Xinmin Zhang

Astrophysics · Submitted 29 Jan 2005

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Our studies indicate to some extent that two-field models give rise to a simple realization of the dynamical dark energy model with the equation of state across $w = -1$.

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arXiv IDastro-ph/0501652 (version 1)

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CitationHong Li, Xiao-Fei Zhang, Xinmin Zhang, Yun-Song Piao. "Two-field Models of Dark Energy with Equation of State Across -1." arXiv:astro-ph/0501652 (2005). https://pith.science/paper/HQDVHWWW

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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,980 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.63 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.06 · mentions code or data availability 0.01.

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In this paper, we study the possibility of building two-field models of dark energy with equation of state across -1. Specifically we will consider two classes of models: one consists of two scalar fields (Quintessence+Phantom) and another includes one scalar (Phantom) and one spinor field (Neutrino). Our studies indicate to some extent that two-field models give rise to a simple realization of the dynamical dark energy model with the equation of state across $w = -1$.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	In this paper, we study the possibility of building two-field models of dark energy with equation of state across -1.	contribution 0.99	0.64	0.05	hedged possibility 0.88
s1	Specifically we will consider two classes of models: one consists of two scalar fields (Quintessence+Phantom) and another includes one scalar (Phantom) and one spinor field (Neutrino).	method 0.63	0.46	0.03	asserted 0.92
s2	Our studies indicate to some extent that two-field models give rise to a simple realization of the dynamical dark energy model with the equation of state across $w = -1$.	result 0.79	0.93	0.88	hedged possibility 1.00

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.54.

What was examined, and what was not

sources read

arXiv listing abstract v1

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full text
figures and tables
references and citing sentences
relations to other papers

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P abstract

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S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

In this paper, we study the possibility of building two-field models of dark energy with equation of state across -1. Specifically we will consider two classes of models: one consists of two scalar fields (Quintessence+Phantom) and another includes one scalar (Phantom) and one spinor field (Neutrino). Our studies indicate to some extent that two-field models give rise to a simple realization of the dynamical dark energy model with the equation of state across $w = -1$.

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References

Forward citations

Cited by 12 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Assessing observational constraints on dark energy
astro-ph.CO 2024-05 conditional novelty 6.0 of 10

Quintessence models satisfying NEC everywhere predict the w0 > -1 and w0+wa < -1 sector favored by data, due to an approximate degeneracy in the w(z) = w0 + wa z/(1+z) parameterization.
Interacting Vector-like Dark Energy, the First and Second Cosmological Coincidence Problems
astro-ph 2006-03 conditional novelty 6.0 of 10

Interacting vector-like dark energy has stable late-time attractors with comparable dark energy and matter densities and with wA < -1, offered as a simultaneous alleviation of two cosmological coincidence problems.
Multi-Messenger Cosmology: A Route to Accurate Inference of Dark Energy Beyond CPL Parametrization from XG Detectors
astro-ph.CO 2024-12 conditional novelty 5.0 of 10

A simulation forecast claims CE+ET bright standard sirens can measure dark energy EoS parameters with sigma(w0)=0.010, sigma(wa)=0.049, sigma(wb)=0.072, better than other planned probes.
On Perturbations of Quintom Bounce
hep-th 2007-11 conditional novelty 5.0 of 10

In a two-field Quintom bounce, short-wavelength cosmological perturbations transfer the growing contracting-phase mode into the dominant expanding-phase mode, whereas long-wavelength modes transfer only into the decay...
Probing Dynamics of Dark Energy with Supernova, Galaxy Clustering and the Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations
astro-ph 2006-03 conditional novelty 5.0 of 10

A combined analysis of WMAP-3, supernova, and SDSS data finds a mild (about 1 sigma) preference for dark energy whose equation of state crosses -1, but LambdaCDM remains acceptable.

Show 7 more citing papers

Quintom cosmologies admitting either tracking or phantom attractors
astro-ph 2006-02 conditional novelty 5.0 of 10

A two-field quintom dark energy model with a simple exponential potential is shown to admit tracking attractors (w=0) or phantom attractors (w<-1), unlike previously studied quintom models that only reached w=-1.
Quintom cosmology and modified gravity after DESI 2024
astro-ph.CO 2024-04 conditional novelty 4.0 of 10

A Gaussian-process reconstruction of the BAO expansion history yields a phantom-to-quintessence crossing of the dark-energy equation of state at 0.78 to 0.93 sigma, and the same expansion history is inverted into quad...
The Quintom theory of dark energy after DESI DR2
astro-ph.CO 2025-05 unverdicted novelty 3.0 of 10

This review traces the history of dynamical dark energy, presents the no-go theorem against single-field crossing of w = -1, and surveys viable Quintom constructions including multi-field models and modified gravity i...
A short review on Quintom dark energy theory
astro-ph.CO 2026-05 unverdicted novelty 2.0 of 10

Quintom dark energy models permit the equation of state to cross w=-1, supporting bouncing cosmologies and CMB-based tests of dark energy nature.
Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
gr-qc 2017-05 accept novelty 2.0 of 10

Modified gravity theories supply viable mathematical frameworks for inflation, bounces, and dark energy eras that match observational data.
Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
gr-qc 2012-05 conditional novelty 2.0 of 10

The paper reviews how many dark energy and modified-gravity models can be recast as equivalent fluid or scalar-field descriptions and can be tuned to fit current cosmological data.
Quintom Cosmology: Theoretical implications and observations
hep-th 2009-09 accept novelty 2.0 of 10

Quintom dark energy, in which the equation of state crosses w = -1, is reviewed as an observationally motivated but theoretically challenging extension of standard cosmology.

How the literature uses it

27 arXiv papers cite this in 56 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 28 sentences without a confident label

Contests it 1 paper

This fact is a counterexample of one of the result in [ref] .

Falsifying Field-based Dark Energy Models · Flat FRW subcase · contest 0.90

Compares with it 2 papers

The difference between [ref] and [ref] is that in the second case the potential considers the interaction between the conventional scalar field and the phantom field.

Falsifying Field-based Dark Energy Models · Introduction · 0.97
The difference between [ref] and [ref] is that in the second case the potential considers the interaction between the conventional scalar field and the phantom field.

Equilibrium sets in quintom cosmologies: the past asymptotic dynamics · Introduction · 0.97

Cites it as support 1 paper

As we have shown, in this case the universe is moving towards the phantom dominated, late time attractor [ref] .

Quintom Cosmology: Theoretical implications and observations · State-finder diagnosis · 0.96

Cites it as background 17 papers

The cosmological evolution of quintom model with exponential potential has been examined, from the dynamical systems viewpoint, in [ref] and [ref] .

Equilibrium sets in quintom cosmologies: the past asymptotic dynamics · Introduction · 0.96
Dark energy (DE) models with two scalar fields (quintessence and phantom) have settled out explicitly and named quintom models [ref] .

Falsifying Field-based Dark Energy Models · Introduction · 0.86
For works on this type of singularity, see Refs. [ref] . * Type II (“sudden”): This type of singularity is milder than the Big Rip scenario, and it is also known as a pressure singularity, firstly studied in Refs. [ref] , and later developed in [ref] , see also [ref] .

The dark universe future and singularities: the account of thermal and quantum effects · Finite-time future singularities in the dark universe: the account of thermal effects · 0.96

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