Energy-momentum tensor in Φ⁴ theory at one loop

2024/06/13 by Brean Maynard, Maynard, Brean · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2406.08857

openalex publication_date 2024/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The energy-momentum tensor form factors are studied in Φ⁴ theory to one-loop order with particular focus on the D-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 D-term D_free=-1 is reduced to D_one-loop =-\frac13 even if the Φ⁴ interaction is infinitesimally small. A companion work in Φ³ 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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