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Renormalization Group in Quantum Mechanics

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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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P. Gosselin, H. mohrbach

Quantum Physics · Submitted 3 Apr 2000

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

The authors' main claim It allows us to obtain a new consistent renormalization group equation for the action.

how it is stated · asserted 0.99 read the record →

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arXiv IDquant-ph/0004008 (version 1)
Pith IDMFPYLIGQ, Pith's permanent record of this paper and its review
CitationH. Mohrbach, P. Gosselin. "Renormalization Group in Quantum Mechanics." arXiv:quant-ph/0004008 (2000). https://pith.science/paper/MFPYLIGQ
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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-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,776 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.43 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.57 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We establish the renormalization group equation for the running action in the context of a one quantum particle system. This equation is deduced by integrating each fourier mode after the other in the path integral formalism. It is free of the well known pathologies which appear in quantum field theory due to the sharp cutoff. We show that for an arbitrary background path the usual local form of the action is not preserved by the flow. To cure this problem we consider a more general action than usual which is stable by the renormalization group flow. It allows us to obtain a new consistent renormalization group equation for the action.

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 establish the renormalization group equation for the running action in the context of a one quantum particle system. contribution 0.91 0.95 0.23 asserted 1.00
s1 This equation is deduced by integrating each fourier mode after the other in the path integral formalism. method 1.00 0.90 0.05 asserted 1.00
s2 It is free of the well known pathologies which appear in quantum field theory due to the sharp cutoff. result 0.94 0.75 0.12 asserted 1.00
s3 We show that for an arbitrary background path the usual local form of the action is not preserved by the flow. result 0.90 0.91 0.20 asserted 1.00
s4 To cure this problem we consider a more general action than usual which is stable by the renormalization group flow. contribution 0.55 0.89 0.20 asserted 0.99
s5 It allows us to obtain a new consistent renormalization group equation for the action. result 0.72 0.92 0.35 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from proof or derivation 1.00.

What was examined, and what was not

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
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  • 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 establish the renormalization group equation for the running action in the context of a one quantum particle system. This equation is deduced by integrating each fourier mode after the other in the path integral formalism. It is free of the well known pathologies which appear in quantum field theory due to the sharp cutoff. We show that for an arbitrary background path the usual local form of the action is not preserved by the flow. To cure this problem we consider a more general action than usual which is stable by the renormalization group flow. It allows us to obtain a new consistent renormalization group equation for the action.

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