Pith. Sign in

RECORD

Gauge Symmetry As Symmetry Of Matrix Coordinates

PaperPDF from arXiv

data files

Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
X Bluesky LinkedIn Reddit Hacker News
Amir H. Fatollahi

High Energy Physics - Theory · Submitted 4 Jul 2000

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

The authors' main claim Through the statements concerning the continuum limit of lattice gauge theories, this suggestion arises that noncommutative spaces are the natural ones to formulate gauge theories at strong coupling.

how it is stated · hedged possibility 0.99 read the record →

Comment (0) Read on arXiv ↗
Cite ▾
arXiv IDhep-th/0007023 (version 3)
Pith ID6IARFCAX, Pith's permanent record of this paper and its review
CitationAmir H. Fatollahi. "Gauge Symmetry As Symmetry Of Matrix Coordinates." arXiv:hep-th/0007023 (2000). https://pith.science/paper/6IARFCAX
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, 4,230 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.02 · compares with prior results 0.19 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; .

We propose a new point of view to gauge theories based on taking the action of symmetry transformations directly on the coordinates of space. Via this approach the gauge fields are not introduced at the first step, and they can be interpreted as fluctuations around some classical solutions of the model. The new point of view is connected to the lattice formulation of gauge theories, and the parameter of noncommutativity of coordinates appears as the lattice spacing parameter. Through the statements concerning the continuum limit of lattice gauge theories, this suggestion arises that noncommutative spaces are the natural ones to formulate gauge theories at strong coupling. Via this point of view, a close relation between the large-N limit of gauge theories and string theory can be manifested.

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 propose a new point of view to gauge theories based on taking the action of symmetry transformations directly on the coordinates of space. contribution 0.99 0.84 0.20 asserted 0.81
s1 Via this approach the gauge fields are not introduced at the first step, and they can be interpreted as fluctuations around some classical solutions of the model. interpretation 0.52 0.66 0.11 asserted 0.86
s2 The new point of view is connected to the lattice formulation of gauge theories, and the parameter of noncommutativity of coordinates appears as the lattice spacing parameter. interpretation 0.42 0.44 0.10 asserted 1.00
s3 Through the statements concerning the continuum limit of lattice gauge theories, this suggestion arises that noncommutative spaces are the natural ones to formulate gauge theories at strong coupling. interpretation 0.97 0.27 0.31 hedged possibility 0.99
s4 Via this point of view, a close relation between the large-N limit of gauge theories and string theory can be manifested. interpretation 0.88 0.55 0.19 hedged possibility 0.62

What kind of paper the classifier reports this is: position or commentary 0.93 · evidence from argument 0.99.

What was examined, and what was not

sources read
  • arXiv listing abstract v3
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 propose a new point of view to gauge theories based on taking the action of symmetry transformations directly on the coordinates of space. Via this approach the gauge fields are not introduced at the first step, and they can be interpreted as fluctuations around some classical solutions of the model. The new point of view is connected to the lattice formulation of gauge theories, and the parameter of noncommutativity of coordinates appears as the lattice spacing parameter. Through the statements concerning the continuum limit of lattice gauge theories, this suggestion arises that noncommutative spaces are the natural ones to formulate gauge theories at strong coupling. Via this point of view, a close relation between the large-N limit of gauge theories and string theory can be manifested.

Human review

How Pith checks papers → · Full audit of this paper →

References
How the literature uses it

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

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.