UV/IR Mixing in Noncommutative Field Theory via Open String Loops

Sangmin Lee; Youngjai Kiem

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UV/IR Mixing in Noncommutative Field Theory via Open String Loops

Youngjai Kiem, Sangmin Lee

High Energy Physics - Theory · Submitted 16 Mar 2000

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

The authors' main claim In the decoupling limit of Seiberg and Witten, we find that the nonplanar string amplitudes reproduce the UV/IR mixing of noncommutative field theories.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.11 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.15 · compares with prior results 0.81 · 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 explicitly evaluate one-loop (annulus) planar and nonplanar open string amplitudes in the presence of the background NS-NS two-form field. In the decoupling limit of Seiberg and Witten, we find that the nonplanar string amplitudes reproduce the UV/IR mixing of noncommutative field theories. In particular, the investigation of the UV regime of the open string amplitudes shows that certain IR closed string degrees of freedom survive the decoupling limit as previously predicted from the noncommutative field theory analysis. These degrees of freedom are responsible for the quadratic, linear and logarithmic IR singularities when the D-branes embedded in space-time have the codimension zero, one and two, respectively. The analysis is given for both bosonic and supersymmetric open strings.

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 explicitly evaluate one-loop (annulus) planar and nonplanar open string amplitudes in the presence of the background NS-NS two-form field.	contribution 0.69	0.96	0.05	asserted 1.00
s1	In the decoupling limit of Seiberg and Witten, we find that the nonplanar string amplitudes reproduce the UV/IR mixing of noncommutative field theories.	result 0.99	0.95	0.73	asserted 1.00
s2	In particular, the investigation of the UV regime of the open string amplitudes shows that certain IR closed string degrees of freedom survive the decoupling limit as previously predicted from the noncommutative field theory analysis.	result 0.87	0.86	0.26	asserted 1.00
s3	These degrees of freedom are responsible for the quadratic, linear and logarithmic IR singularities when the D-branes embedded in space-time have the codimension zero, one and two, respectively.	result 0.62	0.74	0.18	asserted 1.00
s4	The analysis is given for both bosonic and supersymmetric open strings.	contribution 0.64	0.78	0.03	asserted 0.98

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.97.

What was examined, and what was not

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arXiv listing abstract v2

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full text
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T body sentences
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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 explicitly evaluate one-loop (annulus) planar and nonplanar open string amplitudes in the presence of the background NS-NS two-form field. In the decoupling limit of Seiberg and Witten, we find that the nonplanar string amplitudes reproduce the UV/IR mixing of noncommutative field theories. In particular, the investigation of the UV regime of the open string amplitudes shows that certain IR closed string degrees of freedom survive the decoupling limit as previously predicted from the noncommutative field theory analysis. These degrees of freedom are responsible for the quadratic, linear and logarithmic IR singularities when the D-branes embedded in space-time have the codimension zero, one and two, respectively. The analysis is given for both bosonic and supersymmetric open strings.

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References

Forward citations

Cited by 4 Pith papers

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

S-Duality and Noncommutative Gauge Theory
hep-th 2000-05 conditional novelty 8.0 of 10

Strongly coupled spatially noncommutative N=4 Yang-Mills is conjectured to be dual to a weakly coupled open string theory in a near-critical electric field that decouples from closed strings.
IR Dynamics from UV Divergences: UV/IR Mixing, NCFT, and the Hierarchy Problem
hep-ph 2019-09 conditional novelty 7.0 of 10

In noncommutative Yukawa theory, the CPT-required pair of interaction orderings converts the one-loop ultraviolet quadratic divergence into an infrared pole that is reachable in the s-channel.
Space-Time Noncommutative Field Theories And Unitarity
hep-th 2000-05 accept novelty 7.0 of 10

One-loop calculations show that noncommutative field theories with space-time noncommutativity violate the optical theorem and lack a unitary S-matrix, while purely spatial noncommutativity preserves unitarity.
Newtonian Gravitons and D-brane Collective Coordinates in Wound String Theory
hep-th 2000-12 conditional novelty 6.0 of 10

Wound string theory retains zero-winding strings, including a graviton, that mediate instantaneous Newtonian forces but are negligible as asymptotic states, and that also provide collective coordinates for transverse ...

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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

Papers whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States a conflicting result 1 paper

Our computation indicates that the unusual IR/UV singularities of noncommutative field theory do not come from closed string modes in any simple way.

Noncommutative Gauge Dynamics From The String Worldsheet · 0.88

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