一环上Φ4 理论中的能动张量

IF 5 2区物理与天体物理 Q1 Physics and Astronomy

Physical Review D Pub Date : 2025-04-04 DOI:10.1103/physrevd.111.076001

Brean Maynard

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It is shown that the free Klein-Gordon theory value of the <f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><f:mi>D</f:mi></f:math>-term <h:math xmlns:h=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><h:mrow><h:msub><h:mrow><h:mi>D</h:mi></h:mrow><h:mrow><h:mi>free</h:mi></h:mrow></h:msub><h:mo>=</h:mo><h:mo>−</h:mo><h:mn>1</h:mn></h:mrow></h:math> is reduced to <j:math xmlns:j=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><j:mrow><j:msub><j:mrow><j:mi>D</j:mi></j:mrow><j:mrow><j:mtext>one-loop</j:mtext></j:mrow></j:msub><j:mo>=</j:mo><j:mo>−</j:mo><j:mfrac><j:mrow><j:mn>1</j:mn></j:mrow><j:mrow><j:mn>3</j:mn></j:mrow></j:mfrac></j:mrow></j:math> even if the <l:math xmlns:l=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><l:msup><l:mi mathvariant=\"normal\">Φ</l:mi><l:mn>4</l:mn></l:msup></l:math> interaction is infinitesimally small. 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Energy-momentum tensor in Φ4 theory at one loop

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 Dfree=−1 is reduced to Done-loop=−13 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 energy momentum tensor properties of particles and their interpretation.

Published by the American Physical Society

2025

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来源期刊

Physical Review D 物理-天文与天体物理

CiteScore

9.20

自引率

36.00%

发文量

审稿时长

2 months

期刊介绍： Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.