Derives relativistic spatial distributions of transverse orbital angular momentum, intrinsic spin, and total angular momentum in the transverse plane for spin-0 and spin-1/2 targets via quantum phase-space formalism and verifies the transverse spin sum rule.
Comment on Phys. Rev. Lett. 109, 152005 (2012)
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abstract
The identifications of transverse boost and rotation operators in light front theory done in Phys. Rev. Lett. {109}, 152005 (2012) is incorrect. The simple parton interpretation claimed is, in fact, for the transverse boost operator. Manifestation of Lorentz symmetry as claimed in the context of their calculation involving transverse Pauli-Lubanski polarization vector is unsupported.
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Mapping the transverse spin sum rule in position space
Derives relativistic spatial distributions of transverse orbital angular momentum, intrinsic spin, and total angular momentum in the transverse plane for spin-0 and spin-1/2 targets via quantum phase-space formalism and verifies the transverse spin sum rule.