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Dynamic origins of fermionic D-terms

2017/12/14 by Jonathan Hudson, P. Schweitzer, Peter Schweitzer
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boson #Fermion #Geometry #Mathematical physics #Mathematics #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Spin (aerodynamics) #Tensor (intrinsic definition) #Term (time) #hep-ph

paper · pdf · doi:10.1103/physrevd.97.056003

published as Phys. Rev. D 97, 056003 (2018) · 8 pages

arxiv created 2017/12/14 · openalex created_date 2017/12/22 · openalex publication_date 2018/03/06 · arxiv updated 2018/03/08 · openalex updated_date 2026/08/05

Abstract

The D-term is defined through matrix elements of the energy-momentum tensor, similarly to mass and spin, yet this important particle property is experimentally not known any fermion. In this work we show that the D-term of a spin (1)/(2) fermion is of dynamical origin: it vanishes for a free fermion. This is in pronounced contrast to the bosonic case where already a free spin-0 boson has a non-zero intrinsic D-term. We illustrate in two simple models how interactions generate the D-term of a fermion with an internal structure, the nucleon. All known matter is composed of elementary fermions. This indicates the importance to study this interesting particle property in more detail, which will provide novel insights especially on the structure of the nucleon.

Citations