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On asymmetric Chern-Simons number diffusion

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Bert-Jan Nauta

High Energy Physics - Phenomenology · Submitted 19 Jan 2003

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

The authors' main claim We show that CP-violation can lead to an asymmetric diffusion of the Chern-Simons number in thermal equilibrium.

how it is stated · asserted 0.97 read the record →

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arXiv IDhep-ph/0301150 (version 1)
Pith IDKXOZTHBA, Pith's permanent record of this paper and its review
CitationBert-Jan Nauta. "On asymmetric Chern-Simons number diffusion." arXiv:hep-ph/0301150 (2003). https://pith.science/paper/KXOZTHBA
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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, 2,877 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.14 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.11 · 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; .

We show that CP-violation can lead to an asymmetric diffusion of the Chern-Simons number in thermal equilibrium. This asymmetry leads to a linearly growing expectation value of the third power of the Chern-Simons number. In the long-time limit all expectation values of powers of Chern-Simon numbers are determined by their appropriate disconnected parts.

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 We show that CP-violation can lead to an asymmetric diffusion of the Chern-Simons number in thermal equilibrium. result 0.87 0.89 0.72 asserted 0.97
s1 This asymmetry leads to a linearly growing expectation value of the third power of the Chern-Simons number. result 0.94 0.81 0.25 asserted 1.00
s2 In the long-time limit all expectation values of powers of Chern-Simon numbers are determined by their appropriate disconnected parts. result 0.99 0.78 0.24 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.88.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • 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

We show that CP-violation can lead to an asymmetric diffusion of the Chern-Simons number in thermal equilibrium. This asymmetry leads to a linearly growing expectation value of the third power of the Chern-Simons number. In the long-time limit all expectation values of powers of Chern-Simon numbers are determined by their appropriate disconnected parts.

Human review

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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 whose main result relates to this one's

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