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Instantons and the Chiral Phase Transition

High Energy Physics - Phenomenology · Submitted 23 Feb 1997

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

The authors' main claim We find instanton effects of strength comparable to that of gluon exchange.

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arXiv IDhep-ph/9702404 (version 1)
Pith IDK3DSJTSO, Pith's permanent record of this paper and its review
CitationStephen B. Selipsky (Yale Univ.), Thomas Appelquist. "Instantons and the Chiral Phase Transition." arXiv:hep-ph/9702404 (1997). https://pith.science/paper/K3DSJTSO
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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, 4,224 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.10 · randomized assignment 0.01 · states quantitative result 0.25 · compares with prior results 0.52 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We examine the role of instantons in the zero-temperature chiral phase transition in an SU(N) gauge theory. For a range of N_f (the number of fermion flavors) depending on N, the theory exhibits an infrared fixed point at coupling $\alpha_*$. As N_f decreases, $\alpha_*$ increases, and it eventually exceeds a critical value sufficient to trigger chiral symmetry breaking. For the case N = 2, we estimate the critical values of N_f and $\alpha_*$ due to instantons by numerically solving a gap equation with an instanton-generated kernel. We find instanton effects of strength comparable to that of gluon exchange.

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 examine the role of instantons in the zero-temperature chiral phase transition in an SU(N) gauge theory. contribution 0.92 0.87 0.06 unclear 0.55
s1 For a range of N_f (the number of fermion flavors) depending on N, the theory exhibits an infrared fixed point at coupling $\alpha_*$. result 0.81 0.46 0.08 asserted 1.00
s2 As N_f decreases, $\alpha_*$ increases, and it eventually exceeds a critical value sufficient to trigger chiral symmetry breaking. result 0.72 0.39 0.33 asserted 0.99
s3 For the case N = 2, we estimate the critical values of N_f and $\alpha_*$ due to instantons by numerically solving a gap equation with an instanton-generated kernel. method 0.83 0.96 0.12 asserted 0.90
s4 We find instanton effects of strength comparable to that of gluon exchange. result 0.99 0.95 0.30 asserted 1.00

What kind of paper the classifier reports this is: simulation study 0.58 · evidence from simulation or computation 1.00.

What was examined, and what was not

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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 examine the role of instantons in the zero-temperature chiral phase transition in an SU(N) gauge theory. For a range of N_f (the number of fermion flavors) depending on N, the theory exhibits an infrared fixed point at coupling $\alpha_*$. As N_f decreases, $\alpha_*$ increases, and it eventually exceeds a critical value sufficient to trigger chiral symmetry breaking. For the case N = 2, we estimate the critical values of N_f and $\alpha_*$ due to instantons by numerically solving a gap equation with an instanton-generated kernel. We find instanton effects of strength comparable to that of gluon exchange.

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References
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4 arXiv papers cite this in 4 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 · 3 sentences without a confident label

Cites it as background 1 paper

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