Wilson Loops in Noncommutative Yang Mills

Hikaru Kawai; Nobuyuki Ishibashi; Satoshi Iso; Yoshihisa Kitazawa

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Wilson Loops in Noncommutative Yang Mills

Nobuyuki Ishibashi, Satoshi Iso, Hikaru Kawai, Yoshihisa Kitazawa

High Energy Physics - Theory · Submitted 1 Oct 1999

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

The authors' main claim We point out that there is a crossover at the noncommutativity scale.

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arXiv IDhep-th/9910004 (version 2)

Pith IDK7BODVJ4, Pith's permanent record of this paper and its review

CitationHikaru Kawai, Nobuyuki Ishibashi, Satoshi Iso, Yoshihisa Kitazawa. "Wilson Loops in Noncommutative Yang Mills." arXiv:hep-th/9910004 (1999). https://pith.science/paper/K7BODVJ4

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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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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.20 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.91 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

We study the correlation functions of the Wilson loops in noncommutative Yang-Mills theory based upon its equivalence to twisted reduced models. We point out that there is a crossover at the noncommutativity scale. At large momentum scale, the Wilson loops in noncommmutative Yang-Mills represent extended objects. They coincide with those in ordinary Yang-Mills theory in low energy limit. The correlation functions on D-branes in IIB matrix model exhibit the identical crossover behavior. It is observed to be consistent with the supergravity description with running string coupling. We also explain that the results of Seiberg and Witten can be simply understood in our formalism.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study the correlation functions of the Wilson loops in noncommutative Yang-Mills theory based upon its equivalence to twisted reduced models.	contribution 0.97	0.89	0.10	asserted 0.96
s1	We point out that there is a crossover at the noncommutativity scale.	result 0.97	0.85	0.27	asserted 1.00
s2	At large momentum scale, the Wilson loops in noncommmutative Yang-Mills represent extended objects.	result 0.95	0.73	0.26	asserted 1.00
s3	They coincide with those in ordinary Yang-Mills theory in low energy limit.	result 0.97	0.65	0.18	asserted 1.00
s4	The correlation functions on D-branes in IIB matrix model exhibit the identical crossover behavior.	result 0.95	0.63	0.11	asserted 1.00
s5	It is observed to be consistent with the supergravity description with running string coupling.	interpretation 0.90	0.44	0.10	hedged possibility 0.95
s6	We also explain that the results of Seiberg and Witten can be simply understood in our formalism.	interpretation 0.77	0.67	0.10	asserted 0.99

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.66.

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arXiv listing abstract v2

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full text
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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 study the correlation functions of the Wilson loops in noncommutative Yang-Mills theory based upon its equivalence to twisted reduced models. We point out that there is a crossover at the noncommutativity scale. At large momentum scale, the Wilson loops in noncommmutative Yang-Mills represent extended objects. They coincide with those in ordinary Yang-Mills theory in low energy limit. The correlation functions on D-branes in IIB matrix model exhibit the identical crossover behavior. It is observed to be consistent with the supergravity description with running string coupling. We also explain that the results of Seiberg and Witten can be simply understood in our formalism.

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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Noncommutative Perturbative Dynamics
hep-th 1999-12 accept novelty 8.0 of 10

In noncommutative field theories, high-energy virtual particles in loops generate singularities at zero momentum, so the low-energy effective action is singular even when the theory is massive.
Quantum Field Theory on Noncommutative Spaces
hep-th 2001-09 accept novelty 2.0 of 10

The paper is a self-contained review that organizes noncommutative quantum field theory and its string-theoretic connections into a single pedagogical reference.
Noncommutative Field Theory
hep-th 2001-06 accept novelty 2.0 of 10

Noncommutative field theory is a coherent generalization of ordinary field theory with its own solitons, UV/IR mixing, and string-theoretic origin, surveyed here in full.

How the literature uses it

7 arXiv papers cite this in 7 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

Uses its method or tool 1 paper

By referring to an argument in [ref] , we can show that ([ref]) is equal to [ref] [equation] In fact, ([ref]) can be viewed as $1/N$ times the trace of the time evolution kernel for a time-dependent Hamiltonian [equation] If one regards the first term as a free part and the others as an interaction part and switches the picture to the interaction one, one obtains ([ref]).

A non-perturbative formulation of N=4 super Yang-Mills theory based on the large-N reduction · Wilson loop in the reduced model · 0.84

Compares with it 2 papers

We emphasize that in our interacting $2$-point function [ref] there is no distinction between planar and non-planar loop corrections, in contrast to the traditional (unbraided) approaches to noncommutative quantum field theory [ref] .

Batalin-Vilkovisky quantization of fuzzy field theories · Braided field theories on the fuzzy torus · 0.99
Unlike the Wilson loop in the ordinary noncommutative geometry which is highly non-local [ref] , the closed Wilson loop operator is immediately local and there is no need to employ an open Wilson line.

Near BPS Wilson Loop in beta-deformed Theories · Wilson loop from $U(N+1)→U(N)×U(1)$ breaking · 0.94

Cites it as support 1 paper

A further indication is an exponential growth of the correlation functions of some gauge-invariant operators in momentum space, found in [ref] .

Star product algebras of test functions · Introduction · 0.99

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