Gauge Invariant Descriptions of Gluon Polarizations

Ivan Schmidt; Zhi-Qiang Guo

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Gauge Invariant Descriptions of Gluon Polarizations

Zhi-Qiang Guo, Ivan Schmidt

High Energy Physics - Phenomenology · Submitted 8 Oct 2012

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

The authors' main claim We show that gauge invariant decompositions of the nucleon spin can be derived naturally from the conserved current of a generalized Lorentz transformation by the Noether theorem.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.69 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.02 · compares with prior results 0.14 · mentions code or data availability 0.02.

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We propose methods to construct gauge invariant decompositions of the nucleon spin, particularly gauge invariant descriptions of the gluon polarization. We show that gauge invariant decompositions of the nucleon spin can be derived naturally from the conserved current of a generalized Lorentz transformation by the Noether theorem. We propose a gauge invariant extension of the Chern-Simons current as a possible description of the gluon spin, and we also examine the problem of gauge dependence of this extended Chern-Simons current.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We propose methods to construct gauge invariant decompositions of the nucleon spin, particularly gauge invariant descriptions of the gluon polarization.	contribution 1.00	0.88	0.19	asserted 0.82
s1	We show that gauge invariant decompositions of the nucleon spin can be derived naturally from the conserved current of a generalized Lorentz transformation by the Noether theorem.	result 0.38	0.92	0.30	asserted 1.00
s2	We propose a gauge invariant extension of the Chern-Simons current as a possible description of the gluon spin, and we also examine the problem of gauge dependence of this extended Chern-Simons current.	contribution 1.00	0.89	0.21	hedged possibility 0.99

What kind of paper the classifier reports this is: method or tool 0.68 · evidence from proof or derivation 1.00.

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The paper

Original abstract

We propose methods to construct gauge invariant decompositions of the nucleon spin, particularly gauge invariant descriptions of the gluon polarization. We show that gauge invariant decompositions of the nucleon spin can be derived naturally from the conserved current of a generalized Lorentz transformation by the Noether theorem. We propose a gauge invariant extension of the Chern-Simons current as a possible description of the gluon spin, and we also examine the problem of gauge dependence of this extended Chern-Simons current.

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7 arXiv papers cite this in 12 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

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Uses its method or tool 1 paper

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 Revisited · Abelian Case · 0.82

Compares with it 1 paper

The above results are identical with our previous ones obtained by using a generalized Lorentz transformation [ref] .

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

Cites it as support 2 papers

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 Revisited · Relations to Parton Distribution Functions · 0.96
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 · 22 sentences without a confident label

Cites as background 4 papers

The similarities and differences among these three decompositions have been examined extensively from theoretical perspectives [ref] .

On the controversy concerning the definition of quark and gluon angular momentum · Introduction · 0.84
The similarities and differences among these three decompositions have been examined extensively from theoretical perspectives [ref] .

More on the relation between the two physically inequivalent decompositions of the nucleon spin and momentum · Introduction · 0.84
The similarities and differences among these three decompositions have been examined extensively from theoretical perspectives [ref] .

Geometrical approach to the proton spin decomposition · Introduction · 0.84

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