The energy-momentum tensor of spin-1 hadrons: formalism

• Published in: The European physical journal. C, Particles and fields Vol. 79; no. 6; pp. 1 - 14
• Main Authors: Cosyn, Wim, Cotogno, Sabrina, Freese, Adam, Lorcé, Cédric
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 05.06.2019; Springer; Springer Nature B.V; Springer Verlag (Germany); SpringerOpen
• Subjects: Angular momentum; Astronomy; Astrophysics and Cosmology; Decomposition; Elementary Particles; Flavor (particle physics); Form factors; Hadrons; Heavy Ions; High Energy Physics - Phenomenology; Mathematical analysis; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Experiment; Nuclear Physics; Nuclear Theory; Physics; Physics and Astronomy; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; String Theory; Sum rules; Tensors; invariance: gauge; flavor; tensor: energy-momentum; hadron; generalized parton distribution; sum rule; angular momentum; form factor: gravitation; spin: 1
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-019-6981-3

We provide the complete decomposition of the local gauge-invariant energy-momentum tensor for spin-1 hadrons, including non-conserved terms for the individual parton flavors and antisymmetric contributions originating from intrinsic spin. We state sum rules for the gravitational form factors appearing in this decomposition and provide relations for the mass decomposition, work balance, total and orbital angular momentum, mass radius, and inertia tensor. Generalizing earlier work, we derive relations between the total and orbital angular momentum and the Mellin moments of twist-2 and 3 generalized parton distributions, accessible in hard exclusive processes with spin-1 targets. Throughout the work, we comment on the unique features in these relations originating from the spin-1 nature of the hadron, being absent in the lower spin cases.