Quantum cosmology of the multi-field scalar matter: some exact solutions

Alexander A. Andrianov; Chen Lan; Oleg O. Novikov

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Quantum cosmology of the multi-field scalar matter: some exact solutions

Alexander A. Andrianov, Oleg O. Novikov, Chen Lan

High Energy Physics - Theory · Submitted 18 Mar 2015

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

The authors' main claim The model of several scalar fields with exponential potentials and kinetic terms admitting such a special mixing that ultimately it is possible to separate the variables in the WdW equation and to find its exact solution in terms of the special functions is proposed.

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arXiv ID1503.05527 (version 1)

Pith IDYXYX2C22, Pith's permanent record of this paper and its review

CitationAlexander A. Andrianov, Chen Lan, Oleg O. Novikov. "Quantum cosmology of the multi-field scalar matter: some exact solutions." arXiv:1503.05527 (2015). https://pith.science/paper/YXYX2C22

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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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,720 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.30 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

We consider the gravity interacting with matter scalar fields and quantized in the minisuperspace approach in which the wave functional is described by the Wheeler-DeWitt equations (WdW). Assuming the domination of the homogeneous and isotropic geometry the leading contributions to the wave functional in the approximation of the minisuperspace with Friedmann-Robertson-Walker metric (FRW) and spatially uniform scalar fields are considered. The model of several scalar fields with exponential potentials and kinetic terms admitting such a special mixing that ultimately it is possible to separate the variables in the WdW equation and to find its exact solution in terms of the special functions is proposed. The semiclassical approximation is thoroughly investigated and the boundary conditions permitting the physical solution selection for classical cosmologies are chosen.

background contribution method result interpretation main claim

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	We consider the gravity interacting with matter scalar fields and quantized in the minisuperspace approach in which the wave functional is described by the Wheeler-DeWitt equations (WdW).	method 0.49	0.66	0.04	asserted 0.97
s1	Assuming the domination of the homogeneous and isotropic geometry the leading contributions to the wave functional in the approximation of the minisuperspace with Friedmann-Robertson-Walker metric (FRW) and spatially uniform scalar fields are considered.	method 0.91	0.70	0.04	asserted 0.93
s2	The model of several scalar fields with exponential potentials and kinetic terms admitting such a special mixing that ultimately it is possible to separate the variables in the WdW equation and to find its exact solution in terms of the special functions is proposed.	contribution 0.86	0.83	0.51	asserted 0.78
s3	The semiclassical approximation is thoroughly investigated and the boundary conditions permitting the physical solution selection for classical cosmologies are chosen.	contribution 0.73	0.90	0.20	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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arXiv listing abstract v1

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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

We consider the gravity interacting with matter scalar fields and quantized in the minisuperspace approach in which the wave functional is described by the Wheeler-DeWitt equations (WdW). Assuming the domination of the homogeneous and isotropic geometry the leading contributions to the wave functional in the approximation of the minisuperspace with Friedmann-Robertson-Walker metric (FRW) and spatially uniform scalar fields are considered. The model of several scalar fields with exponential potentials and kinetic terms admitting such a special mixing that ultimately it is possible to separate the variables in the WdW equation and to find its exact solution in terms of the special functions is proposed. The semiclassical approximation is thoroughly investigated and the boundary conditions permitting the physical solution selection for classical cosmologies are chosen.

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How the literature uses it

3 arXiv papers cite this in 3 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 · 2 sentences without a confident label

Cites it as background 1 paper

Additional research regarding multi-filed anisotropic cosmological models can be found in [ref] .

Anisotropic chiral cosmology: exact solutions · Introduction · 0.97

What it cites · 4 sentences without a confident label

Cites as background 2 papers

Recently the general Einstein equation solution for this model were found [ref] – [ref] .

On exact solutions for quintessential (inflationary) cosmological models with exponential potentials · Introduction · 0.86
The $D_aV_a<0$ case may correspond to the phantom fields (quintoms [ref] ) or negative potentials unbounded from below.

Quintom Cosmology: Theoretical implications and observations · Model of several scalar fields with exponential potentials · 0.92

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