Gluon gravitational form factors of the nucleon and the pion from lattice QCD

A future electron-ion collider will enable the gluon contributions to the gravitational form factors of the proton to be constrained experimentally for the first time. Here, the first calculation of these form factors from lattice quantum chromodynamics is presented. The calculations use a larger-th...

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Main Authors: Shanahan, Phiala E, Detmold, William
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:English
Published: American Physical Society 2019
Online Access:http://hdl.handle.net/1721.1/120119
https://orcid.org/0000-0002-0400-8363
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author Shanahan, Phiala E
Detmold, William
author2 Massachusetts Institute of Technology. Center for Theoretical Physics
author_facet Massachusetts Institute of Technology. Center for Theoretical Physics
Shanahan, Phiala E
Detmold, William
author_sort Shanahan, Phiala E
collection MIT
description A future electron-ion collider will enable the gluon contributions to the gravitational form factors of the proton to be constrained experimentally for the first time. Here, the first calculation of these form factors from lattice quantum chromodynamics is presented. The calculations use a larger-than-physical value of the light quark mass corresponding to m[subscript π]∼450  MeV. All three form factors, which encode the momentum dependence of the lowest moment of the spin-independent gluon generalized parton distributions and are related to different components of the energy-momentum tensor, are resolved. In particular, the gluon D-term form factor, related to the pressure distribution inside the nucleon, is determined for the first time. The gluon contributions to the two gravitational form factors of the pion are also determined, and are compared to existing lattice determinations of the quark contributions to the gravitational form factors and to phenomenology.
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spelling mit-1721.1/1201192022-10-01T06:23:32Z Gluon gravitational form factors of the nucleon and the pion from lattice QCD Shanahan, Phiala E Detmold, William Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Shanahan, Phiala E Detmold, William A future electron-ion collider will enable the gluon contributions to the gravitational form factors of the proton to be constrained experimentally for the first time. Here, the first calculation of these form factors from lattice quantum chromodynamics is presented. The calculations use a larger-than-physical value of the light quark mass corresponding to m[subscript π]∼450  MeV. All three form factors, which encode the momentum dependence of the lowest moment of the spin-independent gluon generalized parton distributions and are related to different components of the energy-momentum tensor, are resolved. In particular, the gluon D-term form factor, related to the pressure distribution inside the nucleon, is determined for the first time. The gluon contributions to the two gravitational form factors of the pion are also determined, and are compared to existing lattice determinations of the quark contributions to the gravitational form factors and to phenomenology. National Science Foundation (U.S.) (Grant 1841699) United States. Department of Energy (Award DE-SC0010495) United States. Department of Energy (Grant DE-SC0011090) 2019-01-23T21:06:04Z 2019-01-23T21:06:04Z 2019-01 2018-10 2019-01-23T18:00:33Z Article http://purl.org/eprint/type/JournalArticle 2470-0010 2470-0029 http://hdl.handle.net/1721.1/120119 Shanahan, P. E. and W. Detmold. "Gluon gravitational form factors of the nucleon and the pion from lattice QCD." Physical Review D 99, 1 (January 2019): 014511 https://orcid.org/0000-0002-0400-8363 en http://dx.doi.org/10.1103/PhysRevD.99.014511 Physical Review D Creative Commons Attribution http://creativecommons.org/licenses/by/3.0 application/pdf American Physical Society American Physical Society
spellingShingle Shanahan, Phiala E
Detmold, William
Gluon gravitational form factors of the nucleon and the pion from lattice QCD
title Gluon gravitational form factors of the nucleon and the pion from lattice QCD
title_full Gluon gravitational form factors of the nucleon and the pion from lattice QCD
title_fullStr Gluon gravitational form factors of the nucleon and the pion from lattice QCD
title_full_unstemmed Gluon gravitational form factors of the nucleon and the pion from lattice QCD
title_short Gluon gravitational form factors of the nucleon and the pion from lattice QCD
title_sort gluon gravitational form factors of the nucleon and the pion from lattice qcd
url http://hdl.handle.net/1721.1/120119
https://orcid.org/0000-0002-0400-8363
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