Energy-momentum tensor in Φ4\Phi^4 theory at one loop

Jun 13, 2024
20 pages
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Abstract: (arXiv)
The energy-momentum tensor form factors are studied in Φ4\Phi^4 theory to one-loop order with particular focus on the DD-term, a particle property which has attracted a lot of attention in the recent literature. It is shown that the free Klein-Gordon theory value of the DD-term Dfree=1D_{\text{free}}=-1 is reduced to Done-loop=13D_{\text{one-loop}} =-\frac13 even if the Φ4\Phi^4 interaction is infinitesimally small. A companion work in Φ3\Phi^3 theory confirms this result which may indicate that it is independent of the type of interaction as long as the scalar theory is renormalizable. Dispersion relations are studied. Various definitions of mean square radii including the mechanical radius are investigated. The findings contribute to a better understanding of the EMT properties of particles and their interpretation.
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  • 20 pages, 2 figures