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Calculation of density fluctuation in inflationary epoch

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Amit Kundu, S. Mallik, D. Rai Chaudhuri

High Energy Physics - Phenomenology · Submitted 18 Feb 1999

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

The authors' main claim Numerically, however, the effect is completely negligible, validating the use of the two point function in the vacuum state.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-ph/9902388 (version 2)
Pith IDC3CPDYGX, Pith's permanent record of this paper and its review
CitationAmit Kundu, D. Rai Chaudhuri, S. Mallik. "Calculation of density fluctuation in inflationary epoch." arXiv:hep-ph/9902388 (1999). https://pith.science/paper/C3CPDYGX
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The compiled record

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, 3,656 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.73 · human participants 0.01 · controlled comparison 0.09 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.89 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

Starting from an initial state of thermal equilibrium, we derive an expression for the quantum fluctuation in the energy density during the inflationary epoch in terms of the mode functions for the inflaton field. The effect of this particular initial state is not washed out in the final formula, contrary to what is usually believed. Numerically, however, the effect is completely negligible, validating the use of the two point function in the vacuum state. We also point out the requirement of conventional quantum field theory during inflation, that the quantum fluctuation in a wavelength must be evaluated, at the latest, when the wavelength crosses the Hubble length, in contrast to the usual practice in the literature.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Starting from an initial state of thermal equilibrium, we derive an expression for the quantum fluctuation in the energy density during the inflationary epoch in terms of the mode functions for the inflaton field. contribution 0.62 0.96 0.14 asserted 1.00
s1 The effect of this particular initial state is not washed out in the final formula, contrary to what is usually believed. result 0.93 0.82 0.42 asserted 1.00
s2 Numerically, however, the effect is completely negligible, validating the use of the two point function in the vacuum state. interpretation 0.65 0.88 0.27 asserted 1.00
s3 We also point out the requirement of conventional quantum field theory during inflation, that the quantum fluctuation in a wavelength must be evaluated, at the latest, when the wavelength crosses the Hubble length, in contrast to the usual practice in the literature. contribution 0.77 0.56 0.13 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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  • references and citing sentences
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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

Starting from an initial state of thermal equilibrium, we derive an expression for the quantum fluctuation in the energy density during the inflationary epoch in terms of the mode functions for the inflaton field. The effect of this particular initial state is not washed out in the final formula, contrary to what is usually believed. Numerically, however, the effect is completely negligible, validating the use of the two point function in the vacuum state. We also point out the requirement of conventional quantum field theory during inflation, that the quantum fluctuation in a wavelength must be evaluated, at the latest, when the wavelength crosses the Hubble length, in contrast to the usual practice in the literature.

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