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.
Rigorous constraints on the matrix elements of the energy-momentum tensor
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abstract
The structure of the matrix elements of the energy-momentum tensor play an important role in determining the properties of the form factors $A(q^{2})$, $B(q^{2})$ and $C(q^{2})$ which appear in the Lorentz covariant decomposition of the matrix elements. In this paper we apply a rigorous frame-independent distributional-matching approach to the matrix elements of the Poincar\'{e} generators in order to derive constraints on these form factors as $q \rightarrow 0$. In contrast to the literature, we explicitly demonstrate that the vanishing of the anomalous gravitomagnetic moment $B(0)$ and the condition $A(0)=1$ are independent of one another, and that these constraints are not related to the specific properties or conservation of the individual Poincar\'{e} generators themselves, but are in fact a consequence of the physical on-shell requirement of the states in the matrix elements and the manner in which these states transform under Poincar\'{e} transformations.
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Relativistic EMT distributions in polarized nucleons recover good and bad light-front components in the IMF after including polarization effects.
The quantum phase-space formalism derives transverse energy-momentum tensor distributions in polarized nucleons and reproduces standard light-front distributions including bad components in the infinite-momentum frame.
citing papers explorer
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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.
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Relativistic energy-momentum tensor distributions in a polarized nucleon
Relativistic EMT distributions in polarized nucleons recover good and bad light-front components in the IMF after including polarization effects.
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Transverse energy-momentum tensor distributions in polarized nucleons
The quantum phase-space formalism derives transverse energy-momentum tensor distributions in polarized nucleons and reproduces standard light-front distributions including bad components in the infinite-momentum frame.