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Energy-momentum tensor in QCD: nucleon mass decomposition and mechanical equilibrium

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arxiv 2109.11785 v1 pith:P5YYMNFL submitted 2021-09-24 hep-ph nucl-th

Energy-momentum tensor in QCD: nucleon mass decomposition and mechanical equilibrium

classification hep-ph nucl-th
keywords massnucleondecompositionquantumanomalouscontributionenergyenergy-momentum
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We review and examine in detail recent developments regarding the question of the nucleon mass decomposition. We discuss in particular the virial theorem in quantum field theory and its implications for the nucleon mass decomposition and mechanical equilibrium. We reconsider the renormalization of the QCD energy-momentum tensor in minimal-subtraction-type schemes and the physical interpretation of its components, as well as the role played by the trace anomaly and Poincar\'e symmetry. We also study the concept of "quantum anomalous energy" proposed in some works as a new contribution to the nucleon mass. Examining the various arguments, we conclude that the quantum anomalous energy is not a genuine contribution to the mass sum rule, as a consequence of translation symmetry.

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Cited by 5 Pith papers

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