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Title: Rigorous constraints on the matrix elements of the energy–momentum tensor

Abstract

The structure of the matrix elements of the energy–momentum tensor play an important role in determining the properties of the form factors A(q 2), B(q 2) and C(q 2) which appear in the Lorentz covariant decomposition of the matrix elements. In this paper we apply a rigorous frame-independent distributional-matching approach to the matrix elements of the Poincaré generators in order to derive constraints on these form factors as q → 0. In contrast to the literature, we explicitly demonstrate that the vanishing of the anomalous gravitomagnetic moment B(0) and the condition A(0) = 1 are independent of one another, and that these constraints are not related to the specific properties or conservation of the individual Poincaré generators themselves, but are in fact a consequence of the physical on-shell requirement of the states in the matrix elements and the manner in which these states transform under Poincaré transformations.

Authors:
ORCiD logo [1];  [1];  [1]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1393987
Alternate Identifier(s):
OSTI ID: 1443873
Report Number(s):
SLAC-PUB-17111
Journal ID: ISSN 0370-2693; PII: S0370269317307621
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Journal Article: Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 774; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Energy–momentum tensor; Form factor; Anomalous gravitomagnetic moment

Citation Formats

Lowdon, Peter, Chiu, Kelly Yu-Ju, and Brodsky, Stanley J. Rigorous constraints on the matrix elements of the energy–momentum tensor. United States: N. p., 2017. Web. doi:10.1016/j.physletb.2017.09.050.
Lowdon, Peter, Chiu, Kelly Yu-Ju, & Brodsky, Stanley J. Rigorous constraints on the matrix elements of the energy–momentum tensor. United States. doi:10.1016/j.physletb.2017.09.050.
Lowdon, Peter, Chiu, Kelly Yu-Ju, and Brodsky, Stanley J. Thu . "Rigorous constraints on the matrix elements of the energy–momentum tensor". United States. doi:10.1016/j.physletb.2017.09.050.
@article{osti_1393987,
title = {Rigorous constraints on the matrix elements of the energy–momentum tensor},
author = {Lowdon, Peter and Chiu, Kelly Yu-Ju and Brodsky, Stanley J.},
abstractNote = {The structure of the matrix elements of the energy–momentum tensor play an important role in determining the properties of the form factors A(q2), B(q2) and C(q2) which appear in the Lorentz covariant decomposition of the matrix elements. In this paper we apply a rigorous frame-independent distributional-matching approach to the matrix elements of the Poincaré generators in order to derive constraints on these form factors as q → 0. In contrast to the literature, we explicitly demonstrate that the vanishing of the anomalous gravitomagnetic moment B(0) and the condition A(0) = 1 are independent of one another, and that these constraints are not related to the specific properties or conservation of the individual Poincaré generators themselves, but are in fact a consequence of the physical on-shell requirement of the states in the matrix elements and the manner in which these states transform under Poincaré transformations.},
doi = {10.1016/j.physletb.2017.09.050},
journal = {Physics Letters. Section B},
number = C,
volume = 774,
place = {United States},
year = {Thu Sep 21 00:00:00 EDT 2017},
month = {Thu Sep 21 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.physletb.2017.09.050

Citation Metrics:
Cited by: 2 works
Citation information provided by
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