2013
DOI: 10.1103/physrevd.87.114016
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Gauge invariant descriptions of gluon polarizations

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 C… Show more

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Cited by 16 publications
(12 citation statements)
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“…Here L quark and L gluon are respectively the corresponding gauge invariant fermion part and gluon part of the Lagrangian (2.1), and D µ = ∂ µ − ig[A µ , · ]. The above results are identical with our previous ones obtained by using a generalized Lorentz transformation [23]. The cause of their consistency is simply that the Lie algebra of the generalized Lorentz transformation used in [23] is the direct sum of the algebra of the Lorentz transformation and that of the gauge transformation.…”
Section: Gauge Invariant Angular Momentum Currents As Summationssupporting
confidence: 87%
“…Here L quark and L gluon are respectively the corresponding gauge invariant fermion part and gluon part of the Lagrangian (2.1), and D µ = ∂ µ − ig[A µ , · ]. The above results are identical with our previous ones obtained by using a generalized Lorentz transformation [23]. The cause of their consistency is simply that the Lie algebra of the generalized Lorentz transformation used in [23] is the direct sum of the algebra of the Lorentz transformation and that of the gauge transformation.…”
Section: Gauge Invariant Angular Momentum Currents As Summationssupporting
confidence: 87%
“…The kinematic threshold for the light mirror helium (He ) component (m He = 3.7 GeV) is less than a keV, which is below the expected energy threshold of these experiments. It might be possible to probe such light dark matter in future experiments with light target materials and very low thresholds, for one such proposal see e.g [38]…”
mentioning
confidence: 99%
“…(2.4). The descriptions of gluon polarization and orbital angular momentum are given by [38][39][40]…”
Section: Gauge Invariant Gluon Polarizationmentioning
confidence: 99%