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Evaluating Grassmann Integrals

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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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Michael Creutz

High Energy Physics - Lattice · Submitted 30 Jun 1998

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

The authors' main claim The approach is exact, suffers no Fermion sign problems, and allows arbitrarily complicated interactions.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-lat/9806037 (version 2)
Pith IDQJKZWOJC, Pith's permanent record of this paper and its review
CitationMichael Creutz. "Evaluating Grassmann Integrals." arXiv:hep-lat/9806037 (1998). https://pith.science/paper/QJKZWOJC
Claim paper

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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,074 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.97 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.77 · compares with prior results 0.11 · mentions code or data availability 0.03.

The abstract, sentence by sentence

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

I discuss a simple numerical algorithm for the direct evaluation of multiple Grassmann integrals. The approach is exact, suffers no Fermion sign problems, and allows arbitrarily complicated interactions. Memory requirements grow exponentially with the interaction range and the transverse size of the system. Low dimensional systems of order a thousand Grassmann variables can be evaluated on a workstation. The technique is illustrated with a spinless fermion hopping along a one dimensional chain.

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 I discuss a simple numerical algorithm for the direct evaluation of multiple Grassmann integrals. contribution 0.92 0.90 0.16 asserted 0.98
s1 The approach is exact, suffers no Fermion sign problems, and allows arbitrarily complicated interactions. contribution 0.65 0.78 0.41 asserted 1.00
s2 Memory requirements grow exponentially with the interaction range and the transverse size of the system. limitation 1.00 0.75 0.15 asserted 1.00
s3 Low dimensional systems of order a thousand Grassmann variables can be evaluated on a workstation. result 0.61 0.76 0.15 asserted 0.91
s4 The technique is illustrated with a spinless fermion hopping along a one dimensional chain. method 0.57 0.85 0.05 asserted 1.00

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from simulation or computation 0.96.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
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

I discuss a simple numerical algorithm for the direct evaluation of multiple Grassmann integrals. The approach is exact, suffers no Fermion sign problems, and allows arbitrarily complicated interactions. Memory requirements grow exponentially with the interaction range and the transverse size of the system. Low dimensional systems of order a thousand Grassmann variables can be evaluated on a workstation. The technique is illustrated with a spinless fermion hopping along a one dimensional chain.

Human review

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How the literature uses it

2 arXiv papers cite this in 3 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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