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The Hartree ensemble approximation revisited: The "symmetric phase"

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Mischa Salle, Jan Smit

High Energy Physics - Phenomenology · Submitted 14 Aug 2002

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

The authors' main claim In comparison with the ``broken phase'' studied previously, it is shown that the dynamical evolution of observables such as the particle distribution, energy exchange and auto-correlation functions, is substantially slower.

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arXiv IDhep-ph/0208139 (version 2)
Pith IDZESHQYCR, Pith's permanent record of this paper and its review
CitationJan Smit, Mischa Salle. "The Hartree ensemble approximation revisited: The "symmetric phase"." arXiv:hep-ph/0208139 (2002). https://pith.science/paper/ZESHQYCR
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The compiled record

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,926 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.77 · human participants 0.01 · controlled comparison 0.64 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.95 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

The Hartree ensemble approximation is studied in the ``symmetric phase'' of 1+1 dimensional lambda phi^4 theory. In comparison with the ``broken phase'' studied previously, it is shown that the dynamical evolution of observables such as the particle distribution, energy exchange and auto-correlation functions, is substantially slower. Approximate thermalization is found only for relatively large energy densities and couplings.

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 The Hartree ensemble approximation is studied in the ``symmetric phase'' of 1+1 dimensional lambda phi^4 theory. contribution 0.77 0.69 0.04 asserted 0.86
s1 In comparison with the ``broken phase'' studied previously, it is shown that the dynamical evolution of observables such as the particle distribution, energy exchange and auto-correlation functions, is substantially slower. result 1.00 0.91 0.50 asserted 1.00
s2 Approximate thermalization is found only for relatively large energy densities and couplings. result 0.99 0.91 0.30 asserted 1.00

What kind of paper the classifier reports this is: simulation study 0.92 · evidence from simulation or computation 0.97.

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not examined
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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
not run
  • 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

The Hartree ensemble approximation is studied in the ``symmetric phase'' of 1+1 dimensional lambda phi^4 theory. In comparison with the ``broken phase'' studied previously, it is shown that the dynamical evolution of observables such as the particle distribution, energy exchange and auto-correlation functions, is substantially slower. Approximate thermalization is found only for relatively large energy densities and couplings.

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1 arXiv paper cite this in 1 sentence

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

Uses its method or tool 1 paper
  • For this, we implement the inhomogeneous Hartree approximation [ref] , which describes the dynamics using the one- and connected two-point functions only, neglecting all higher-order connected $n$-point functions of the quantum fluctuations.

    Quantum corrected Q-ball dynamics · Introduction · 0.99

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