Rigorous constraints on the matrix elements of the energy–momentum tensor
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 frameindependent distributionalmatching 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 onshell requirement of the states in the matrix elements and the manner in which these states transform under Poincaré transformations.
 Authors:

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;
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 SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States)
 Publication Date:
 Report Number(s):
 SLACPUB17111
Journal ID: ISSN 03702693; PII: S0370269317307621
 Grant/Contract Number:
 AC0276SF00515
 Type:
 Published Article
 Journal Name:
 Physics Letters. Section B
 Additional Journal Information:
 Journal Volume: 774; Journal Issue: C; Journal ID: ISSN 03702693
 Publisher:
 Elsevier
 Research Org:
 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Energy–momentum tensor; Form factor; Anomalous gravitomagnetic moment
 OSTI Identifier:
 1393987
 Alternate Identifier(s):
 OSTI ID: 1443873
Lowdon, Peter, Chiu, Kelly YuJu, and Brodsky, Stanley J. Rigorous constraints on the matrix elements of the energy–momentum tensor. United States: N. p.,
Web. doi:10.1016/j.physletb.2017.09.050.
Lowdon, Peter, Chiu, Kelly YuJu, & 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 YuJu, and Brodsky, Stanley J. 2017.
"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 YuJu 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 frameindependent distributionalmatching 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 onshell 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 = {2017},
month = {9}
}