Energy-momentum tensor in Φ4 theory at one loop

IF 5.3 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

{"title":"Energy-momentum tensor in Φ4 theory at one loop","authors":"Brean Maynard","doi":"10.1103/physrevd.111.076001","DOIUrl":null,"url":null,"abstract":"The energy-momentum tensor form factors are studied in Φ</a:mi>4</a:mn></a:msup></a:math> theory to one-loop order with particular focus on the <d:math xmlns:d=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><d:mi>D</d:mi></d:math>-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 <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. A companion work in <o:math xmlns:o=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><o:msup><o:mi mathvariant=\"normal\">Φ</o:mi><o:mn>3</o:mn></o:msup></o:math> 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 ","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"34 1","pages":""},"PeriodicalIF":5.3000,"publicationDate":"2025-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.076001","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}

引用次数: 0

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 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

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

一环上Φ4 理论中的能动张量

在Φ4理论中研究了单环阶的能量-动量张量形式因子，特别关注了d项，这是最近文献中引起大量关注的粒子性质。结果表明，即使Φ4相互作用无穷小，d项的自由Klein-Gordon理论值Dfree=−1也可降为Done-loop=−13。Φ3理论的一个同伴工作证实了这一结果，这可能表明，只要标量理论是可重整的，它与相互作用的类型无关。研究了色散关系。研究了包括机械半径在内的均方半径的各种定义。这些发现有助于更好地理解粒子的能量动量张量特性及其解释。2025年由美国物理学会出版

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文去求助

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.