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On Topological Susceptibility, Vacuum Energy and Theta Dependence in Gluodynamics

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Igor Halperin, Ariel Zhitnitsky

High Energy Physics - Phenomenology · Submitted 9 Jul 1997

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

The authors' main claim Using these relations, we find the theta dependence of the condensates <GG>, <G \tilde{G}> and of the partition function for small theta and an arbitrary number of colors.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-ph/9707286 (version 2)
Pith IDFT63HVLY, Pith's permanent record of this paper and its review
CitationAriel Zhitnitsky, Igor Halperin. "On Topological Susceptibility, Vacuum Energy and Theta Dependence in Gluodynamics." arXiv:hep-ph/9707286 (1997). https://pith.science/paper/FT63HVLY
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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, 2,974 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.43 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.06 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We suggest that the topological susceptibility in gluodynamics can be found in terms of the gluon condensate using renormalizability and heavy fermion representation of the anomaly. Analogous relations can be also obtained for other zero momentum correlation functions involving the topological density operator. Using these relations, we find the theta dependence of the condensates <GG>, <G \tilde{G}> and of the partition function for small theta and an arbitrary number of colors.

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 suggest that the topological susceptibility in gluodynamics can be found in terms of the gluon condensate using renormalizability and heavy fermion representation of the anomaly. contribution 0.82 0.63 0.62 hedged possibility 0.92
s1 Analogous relations can be also obtained for other zero momentum correlation functions involving the topological density operator. result 0.45 0.57 0.08 asserted 0.55
s2 Using these relations, we find the theta dependence of the condensates <GG>, <G \tilde{G}> and of the partition function for small theta and an arbitrary number of colors. result 0.98 0.95 0.60 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.96.

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sources read
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not examined
  • full text
  • 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

We suggest that the topological susceptibility in gluodynamics can be found in terms of the gluon condensate using renormalizability and heavy fermion representation of the anomaly. Analogous relations can be also obtained for other zero momentum correlation functions involving the topological density operator. Using these relations, we find the theta dependence of the condensates <GG>, <G \tilde{G}> and of the partition function for small theta and an arbitrary number of colors.

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References
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1 arXiv paper cite this in 2 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

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