The light-front energy-momentum tensor
C\'edric Lorc\'e (CPHT, Ecole Polytechnique)
TL;DR
This paper provides a comprehensive parametrization of the light-front gauge-invariant energy-momentum tensor, linking it to angular momentum, distributions, and sum rules relevant for high-energy scattering experiments.
Contribution
It introduces the first complete parametrization of the light-front gauge-invariant energy-momentum tensor and clarifies its relation to angular momentum and distribution functions.
Findings
Recovered the Burkardt sum rule and clarified its physical meaning
Derived new sum rules for higher-twist distributions
Linked matrix elements to measurable scattering quantities
Abstract
We present the first complete parametrization for the matrix elements of the generic light-front gauge-invariant energy-momentum tensor, derive the expressions giving separately the spin and orbital angular momentum of quarks and gluons as probed in high-energy scattering experiments, and discuss the relations with two-parton generalized and transverse-momentum dependent distributions. As a by-product, we recovered the Burkardt sum rule, clarified its physical meaning and obtained similar new sum rules for higher-twist distributions.
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