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Investigation into O(N) Invariant Scalar Model Using Auxiliary-Mass Method at Finite Temperature

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Kenzo Ogure, Joe Sato

High Energy Physics - Phenomenology · Submitted 25 Feb 1998

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

The authors' main claim Second order phase transition is indicated by the effective potential.

how it is stated · hedged possibility 0.97 read the record →

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arXiv IDhep-ph/9802418 (version 1)
Pith IDAZ4VAAAI, Pith's permanent record of this paper and its review
CitationJoe Sato, Kenzo Ogure. "Investigation into O(N) Invariant Scalar Model Using Auxiliary-Mass Method at Finite Temperature." arXiv:hep-ph/9802418 (1998). https://pith.science/paper/AZ4VAAAI
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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, 3,415 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.06 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

Using auxiliary-mass method, O(N) invariant scalar model is investigated at finite temperature. This mass and an evolution equation allow us to calculate an effective potential without an infrared divergence. Second order phase transition is indicated by the effective potential. The critical exponents are determined numerically.

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 Using auxiliary-mass method, O(N) invariant scalar model is investigated at finite temperature. contribution 0.78 0.91 0.06 asserted 0.99
s1 This mass and an evolution equation allow us to calculate an effective potential without an infrared divergence. method 0.87 0.79 0.13 asserted 0.99
s2 Second order phase transition is indicated by the effective potential. result 0.60 0.85 0.56 hedged possibility 0.97
s3 The critical exponents are determined numerically. result 0.90 0.89 0.17 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.62 · evidence from simulation or computation 0.92.

What was examined, and what was not

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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

Using auxiliary-mass method, O(N) invariant scalar model is investigated at finite temperature. This mass and an evolution equation allow us to calculate an effective potential without an infrared divergence. Second order phase transition is indicated by the effective potential. The critical exponents are determined numerically.

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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

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