Quantization of a gauge theory on a curved noncommutative space

M. Buric; M. Dimitrijevic; M. Wohlgenannt; V. Radovanovic

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Quantization of a gauge theory on a curved noncommutative space

M. Buric, M. Dimitrijevic, V. Radovanovic, M. Wohlgenannt

High Energy Physics - Theory · Submitted 14 Mar 2012

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

The authors' main claim We obtain that five counterterms are necessary for renormalization and that all divergences are logarithmic.

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arXiv ID1203.3016 (version 1)

Pith ID3QX3V2HG, Pith's permanent record of this paper and its review

CitationM. Buric, M. Dimitrijevic, M. Wohlgenannt, V. Radovanovic. "Quantization of a gauge theory on a curved noncommutative space." arXiv:1203.3016 (2012). https://pith.science/paper/3QX3V2HG

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.59 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.95 · compares with prior results 0.07 · mentions code or data availability 0.02.

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We study quantization of a gauge analogon of the Grosse-Wulkenhaar model: we find divergent one-loop contributions to the 1-point and 2-point Green functions. We obtain that five counterterms are necessary for renormalization and that all divergences are logarithmic.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study quantization of a gauge analogon of the Grosse-Wulkenhaar model: we find divergent one-loop contributions to the 1-point and 2-point Green functions.	result 0.72	0.96	0.32	asserted 1.00
s1	We obtain that five counterterms are necessary for renormalization and that all divergences are logarithmic.	result 1.00	0.95	0.51	asserted 1.00

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

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The paper

Original abstract

We study quantization of a gauge analogon of the Grosse-Wulkenhaar model: we find divergent one-loop contributions to the 1-point and 2-point Green functions. We obtain that five counterterms are necessary for renormalization and that all divergences are logarithmic.

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3 arXiv papers cite this in 10 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 · 8 sentences without a confident label

Builds on it 1 paper

In Section 3 we go through the main steps and some details of the calculation and list additional propagator corrections, completing the earlier result [ref] .

One-loop structure of the U(1) gauge model on the truncated Heisenberg space · Introduction · 0.99

Uses its data or values 1 paper

The one-loop propagator corrections $P_ϕϕ,7$, $P_ϕϕ,8$, $P_ϕϕ, 9$ and $P_ϕϕ,10$ which were calculated in [ref] are [equation] The ghost contributions are zero.

One-loop structure of the U(1) gauge model on the truncated Heisenberg space · Conclusion and outlook · 0.86

What it cites · 18 sentences without a confident label

Uses the method or tool of 1 paper

In order to find divergences and the form of counterterms we apply the method developed in [ref] : we amputate the leg of the tadpole, multiply it with the corresponding external field then and integrate.

Loop Calculations for the Non-Commutative U(1) Gauge Field Model with Oscillator Term · Tadpoles: one-loop divergences · 1.00

Cites as background 4 papers

The classical model was constucted in [ref] and some of its propeties were explored there: the equations of motion, the vacuum solutions, the BRST symmetry.

Gauge fields on noncommutative geometries with curvature · Conclusions and outlook · 0.85
Two different possibilities are known: one can add either a position-dependent potential term $(x̅⋆ϕ)^2$ [ref] , or a nonlocal kinetic term $ϕ ^-1ϕ$ [ref] to the original action.

A translation-invariant renormalizable non-commutative scalar model · Introduction · 0.80
Another, simplified version of a gauge model was discussed in [ref] .

Non-Commutative U(1) Gauge Theory on R**4 with Oscillator Term and BRST Symmetry · Introduction · 0.92

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