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The light-front gauge-invariant energy-momentum tensor

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arxiv 1502.06656 v1 pith:4LM6XUSH submitted 2015-02-24 hep-ph hep-latnucl-th

Cédric Lorcé (SLAC , Liège U.) This is my paper · ORCID
classification hep-phhep-latnucl-th
keywords energy-momentumtensordistributionsgauge-invariantangulardependentmomentumtransverse-momentum
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We provide for the first time a complete parametrization for the matrix elements of the generic asymmetric, non-local and gauge-invariant canonical energy-momentum tensor, generalizing therefore former works on the symmetric, local and gauge-invariant kinetic energy-momentum tensor also known as the Belinfante-Rosenfeld energy-momentum tensor. We discuss in detail the various constraints imposed by non-locality, linear and angular momentum conservation. We also derive the relations with two-parton generalized and transverse-momentum dependent distributions, clarifying what can be learned from the latter. In particular, we show explicitly that two-parton transverse-momentum dependent distributions cannot provide any model-independent information about the parton orbital angular momentum. On the way, we recover the Burkardt sum rule and obtain similar new sum rules for higher-twist distributions.

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Cited by 2 Pith papers

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  1. Investigating the axial structure of the nucleon based on large-volume lattice QCD at the physical point

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    Using large-volume lattice QCD at physical quark masses, the PACS Collaboration shows that a new excited-state subtraction makes the nucleon pseudoscalar and induced-pseudoscalar form factors consistent with pion-pole...

  2. Mechanical properties of the nucleon from the generalized parton distributions

    hep-ph 2025-01 conditional novelty 5.0 of 10

    Using a double-distribution GPD model constrained by elastic-scattering data, the paper fits DQ(0) = -3.37 ± 0.17 from Compton form factors and derives proton pressure, shear, and radii.

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