Gauge Invariant Descriptions of Gluon Polarizations Revisited

Ivan Schmidt; Zhi-Qiang Guo

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Gauge Invariant Descriptions of Gluon Polarizations Revisited

Zhi-Qiang Guo, Ivan Schmidt

High Energy Physics - Phenomenology · Submitted 28 Mar 2013

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

The authors' main claim We present novel expressions of the pure gauge field, which are used to formulate gauge invariant descriptions of the gluon spin and the photon spin.

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What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.18 · mentions code or data availability 0.02.

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

We examine the feasibility of gauge invariant descriptions of the gluon polarization following the proposal that a gauge field can be decomposed into its physical part and its pure gauge part. We show that gauge invariant angular momentum currents can be constructed from summations of gauge variant Noether currents. We present novel expressions of the pure gauge field, which are used to formulate gauge invariant descriptions of the gluon spin and the photon spin. We show that the gauge invariant extension of the Chern-Simons current can describe the spins of the Laguerre-Gauss laser modes. We also discuss the relation of gauge invariant operators and the parton distributions constructed from Dirac variables.

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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 examine the feasibility of gauge invariant descriptions of the gluon polarization following the proposal that a gauge field can be decomposed into its physical part and its pure gauge part.	background 0.58	0.76	0.07	hedged possibility 0.44
s1	We show that gauge invariant angular momentum currents can be constructed from summations of gauge variant Noether currents.	result 0.83	0.94	0.24	asserted 1.00
s2	We present novel expressions of the pure gauge field, which are used to formulate gauge invariant descriptions of the gluon spin and the photon spin.	contribution 0.95	0.93	0.24	asserted 1.00
s3	We show that the gauge invariant extension of the Chern-Simons current can describe the spins of the Laguerre-Gauss laser modes.	result 0.91	0.88	0.15	asserted 1.00
s4	We also discuss the relation of gauge invariant operators and the parton distributions constructed from Dirac variables.	contribution 0.87	0.65	0.07	unclear 0.64

What kind of paper the classifier reports this is: theoretical result 0.97 · evidence from proof or derivation 0.99.

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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 examine the feasibility of gauge invariant descriptions of the gluon polarization following the proposal that a gauge field can be decomposed into its physical part and its pure gauge part. We show that gauge invariant angular momentum currents can be constructed from summations of gauge variant Noether currents. We present novel expressions of the pure gauge field, which are used to formulate gauge invariant descriptions of the gluon spin and the photon spin. We show that the gauge invariant extension of the Chern-Simons current can describe the spins of the Laguerre-Gauss laser modes. We also discuss the relation of gauge invariant operators and the parton distributions constructed from Dirac variables.

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References

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5 arXiv papers cite this in 8 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 · 7 sentences without a confident label

Cites it as support 1 paper

This boils down to the fact that the Chen et al. approach allows one to reconcile the canonical formalism with gauge symmetry [ref] .

The proton spin decomposition : path dependence and gauge symmetry · Gauge symmetry, measurability and path dependence · 0.99

What it cites · 21 sentences without a confident label

Uses the method or tool of 3 papers

For an Abelian gauge field, we consider the pure gauge field determined by [equation] which can be rewritten as [equation] A series solution based on the inverse derivative operator has been given in [ref] .

Gauge Invariant Descriptions of Gluon Polarizations · Abelian Case · 0.82
However, we can use the Dirac variables [ref] to formulate another definition of parton distributions, which are free of the path dependence.

Gauge-covariant canonical formalism revisited with application to the proton spin decomposition · Relations to Parton Distribution Functions · 0.92
However, we can use the Dirac variables [ref] to formulate another definition of parton distributions, which are free of the path dependence.

Dirac variables in gauge theories · Relations to Parton Distribution Functions · 0.92

Compares with 6 papers

For $N^β=A^β$, we obtain the gauge invariant decompositions of Ji [ref] ; For $N^β=A^β_pure$, we obtain the gauge invariant decompositions of Chen et al. [ref] .

Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off · Gauge Invariant Angular Momentum Currents As Summations · 0.81
For $N^β=A^β$, we obtain the gauge invariant decompositions of Ji [ref] ; For $N^β=A^β_pure$, we obtain the gauge invariant decompositions of Chen et al. [ref] .

Spin and orbital angular momentum in gauge theories: Nucleon spin structure and multipole radiation revisited · Gauge Invariant Angular Momentum Currents As Summations · 0.81
The above results are identical with our previous ones obtained by using a generalized Lorentz transformation [ref] .

Gauge Invariant Descriptions of Gluon Polarizations · Gauge Invariant Angular Momentum Currents As Summations · 0.98

Cites as support 1 paper

As shown in [ref] , the gauge invariant extension of the Chern-Simons current also satisfies $∂_μK^μ=1/2F^a_μνF̃_a^μν$.

Gauge Invariant Descriptions of Gluon Polarizations · Relations to Parton Distribution Functions · 0.96

Cites as background 6 papers

For several expressions of the pure gauge field, see [ref] .

Proper identification of the gluon spin · Abelian Case · 0.94
For several expressions of the pure gauge field, see [ref] .

Gluon polarization in the nucleon demystified · Abelian Case · 0.94
For several expressions of the pure gauge field, see [ref] .

On gauge invariant nucleon spin decomposition · Abelian Case · 0.94

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