The energy-momentum tensor of spin-1 hadrons: formalism
Abstract
We provide the complete decomposition of the local gauge-invariant energy-momentum tensor for spin-1 hadrons, including non-conserved terms for the individual parton flavors and antisymmetric contributions originating from intrinsic spin. We state sum rules for the gravitational form factors appearing in this decomposition and provide relations for the mass decomposition, work balance, total and orbital angular momentum, mass radius, and inertia tensor. Generalizing earlier work, we derive relations between the total and orbital angular momentum and the Mellin moments of twist-2 and 3 generalized parton distributions, accessible in hard exclusive processes with spin-1 targets. Throughout the work, we comment on the unique features in these relations originating from the spin-1 nature of the hadron, being absent in the lower spin cases.
- Authors:
-
[2];
- Ghent Univ., Ghent (Belgium)
- Univ. Paris-Saclay, Palaiseau (France)
- Argonne National Lab. (ANL), Lemont, IL (United States)
- Univ. Paris-Saclay, Palaiseau (France)
- Publication Date:
- Research Org.:
- Argonne National Laboratory (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- Agence Nationale de la recherche (ANR); USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1545769
- Grant/Contract Number:
- AC02-06CH11357
- Resource Type:
- Accepted Manuscript
- Journal Name:
- European Physical Journal. C, Particles and Fields
- Additional Journal Information:
- Journal Volume: 79; Journal Issue: 6; Journal ID: ISSN 1434-6044
- Publisher:
- Springer
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Cosyn, Wim, Cotogno, Sabrina, Freese, Adam, and Lorcé, Cédric. The energy-momentum tensor of spin-1 hadrons: formalism. United States: N. p., 2019.
Web. doi:10.1140/epjc/s10052-019-6981-3.
Cosyn, Wim, Cotogno, Sabrina, Freese, Adam, & Lorcé, Cédric. The energy-momentum tensor of spin-1 hadrons: formalism. United States. https://doi.org/10.1140/epjc/s10052-019-6981-3
Cosyn, Wim, Cotogno, Sabrina, Freese, Adam, and Lorcé, Cédric. Wed .
"The energy-momentum tensor of spin-1 hadrons: formalism". United States. https://doi.org/10.1140/epjc/s10052-019-6981-3. https://www.osti.gov/servlets/purl/1545769.
@article{osti_1545769,
title = {The energy-momentum tensor of spin-1 hadrons: formalism},
author = {Cosyn, Wim and Cotogno, Sabrina and Freese, Adam and Lorcé, Cédric},
abstractNote = {We provide the complete decomposition of the local gauge-invariant energy-momentum tensor for spin-1 hadrons, including non-conserved terms for the individual parton flavors and antisymmetric contributions originating from intrinsic spin. We state sum rules for the gravitational form factors appearing in this decomposition and provide relations for the mass decomposition, work balance, total and orbital angular momentum, mass radius, and inertia tensor. Generalizing earlier work, we derive relations between the total and orbital angular momentum and the Mellin moments of twist-2 and 3 generalized parton distributions, accessible in hard exclusive processes with spin-1 targets. Throughout the work, we comment on the unique features in these relations originating from the spin-1 nature of the hadron, being absent in the lower spin cases.},
doi = {10.1140/epjc/s10052-019-6981-3},
journal = {European Physical Journal. C, Particles and Fields},
number = 6,
volume = 79,
place = {United States},
year = {2019},
month = {6}
}
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Works referenced in this record:
term and the structure of pointlike and composed spin-0 particles
journal, December 2017
- Hudson, Jonathan; Schweitzer, Peter
- Physical Review D, Vol. 96, Issue 11
The pion: an enigma within the Standard Model
journal, May 2016
- Horn, Tanja; Roberts, Craig D.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 43, Issue 7
The light-front gauge-invariant energy-momentum tensor
journal, August 2015
- Lorcé, Cédric
- Journal of High Energy Physics, Vol. 2015, Issue 8
Tensor-polarized structure function in the standard convolution description of the deuteron
journal, April 2017
- Cosyn, W.; Dong, Yu-Bing; Kumano, S.
- Physical Review D, Vol. 95, Issue 7
Forces inside hadrons: Pressure, surface tension, mechanical radius, and all that
journal, September 2018
- Polyakov, Maxim V.; Schweitzer, Peter
- International Journal of Modern Physics A, Vol. 33, Issue 26
Lorentz transformations as space‐time reflections
journal, May 1977
- Krause, Jorge
- Journal of Mathematical Physics, Vol. 18, Issue 5
QCD evolution of superfast quarks
journal, June 2019
- Freese, Adam J.; Cosyn, Wim; Sargsian, Misak M.
- Physical Review D, Vol. 99, Issue 11
Metric modifications for a massive spin 1 particle
journal, October 2006
- Holstein, Barry R.
- Physical Review D, Vol. 74, Issue 8
Critique of the angular momentum sum rules and a new angular momentum sum rule
journal, December 2004
- Bakker, B. L. G.; Leader, E.; Trueman, T. L.
- Physical Review D, Vol. 70, Issue 11
Gravitational form factors of vector mesons in an AdS/QCD model
journal, May 2008
- Abidin, Zainul; Carlson, Carl E.
- Physical Review D, Vol. 77, Issue 9
Genuine twist-3 contributions to the generalized parton distributionsfrom instantons
journal, September 2004
- Kiptily, D. V.; Polyakov, M. V.
- The European Physical Journal C, Vol. 37, Issue 1
Nucleon Spin and Momentum Decomposition Using Lattice QCD Simulations
journal, October 2017
- Alexandrou, C.; Constantinou, M.; Hadjiyiannakou, K.
- Physical Review Letters, Vol. 119, Issue 14
Angular momentum sum rule for spin-one hadronic systems
journal, August 2012
- Taneja, Swadhin K.; Kathuria, Kunal; Liuti, Simonetta
- Physical Review D, Vol. 86, Issue 3
Gauge-Invariant Decomposition of Nucleon Spin
journal, January 1997
- Ji, Xiangdong
- Physical Review Letters, Vol. 78, Issue 4
Operator relations for gravitational form factors of a spin-0 hadron
journal, August 2018
- Tanaka, Kazuhiro
- Physical Review D, Vol. 98, Issue 3
production of two mesons
journal, January 2004
- Anikin, I. V.; Pire, B.; Teryaev, O. V.
- Physical Review D, Vol. 69, Issue 1
The parton orbital angular momentum: Status and prospects
journal, June 2016
- Liu, Keh-Fei; Lorcé, Cédric
- The European Physical Journal A, Vol. 52, Issue 6
Off-forward parton distributions
journal, July 1998
- Ji, Xiangdong
- Journal of Physics G: Nuclear and Particle Physics, Vol. 24, Issue 7
Sur les variétés à connexion affine et la théorie de la relativité généralisée (première partie)
journal, January 1923
- Cartan, Elie
- Annales scientifiques de l'École normale supérieure, Vol. 40
The g1 problem: Deep inelastic electron scattering and the spin of the proton
journal, June 1990
- Jaffe, R. L.; Manohar, Aneesh
- Nuclear Physics B, Vol. 337, Issue 3
Transversely polarized parton densities, their evolution and their measurement
journal, December 1990
- Artru, X.; Mekhfi, M.
- Zeitschrift für Physik C Particles and Fields, Vol. 45, Issue 4
Gluon gravitational form factors of the nucleon and the pion from lattice QCD
journal, January 2019
- Shanahan, P. E.; Detmold, W.
- Physical Review D, Vol. 99, Issue 1
Evolution equations for QCD string operators
journal, January 1989
- Balitsky, I. I.; Braun, V. M.
- Nuclear Physics B, Vol. 311, Issue 3
Photoproduction of?- and?-mesons in the peripheral model
journal, October 1964
- Joos, H.; Kramer, G.
- Zeitschrift f�r Physik, Vol. 178, Issue 5
Feasibility Studies for Single Transverse-Spin Asymmetry Measurements at a Fixed-Target Experiment Using the LHC Proton and Lead Beams (AFTER@LHC)
journal, May 2017
- Kikoła, Daniel; Echevarria, Miguel García; Hadjidakis, Cynthia
- Few-Body Systems, Vol. 58, Issue 4
Nonperturbatively renormalized glue momentum fraction at the physical pion mass from lattice QCD
journal, October 2018
- Yang, Yi-Bo; Gong, Ming; Liang, Jian
- Physical Review D, Vol. 98, Issue 7
Skewed and double distributions in the pion and the nucleon
journal, November 1999
- Polyakov, M. V.; Weiss, C.
- Physical Review D, Vol. 60, Issue 11
Spin in Relativistic Quantum Theory
journal, December 2012
- Polyzou, W. N.; Glöckle, W.; Witała, H.
- Few-Body Systems, Vol. 54, Issue 11
Nuclear gluonometry
journal, June 1989
- Jaffe, R. L.; Manohar, Aneesh
- Physics Letters B, Vol. 223, Issue 2
Gluon and Wilson loop TMDs for hadrons of spin ≤ 1
journal, October 2016
- Boer, Daniël; Cotogno, Sabrina; van Daal, Tom
- Journal of High Energy Physics, Vol. 2016, Issue 10
Neutrino- and antineutrino-deuteron elastic scattering and the axial isoscalar nucleon current
journal, July 1992
- Frederico, T.; Henley, E. M.; Pollock, S. J.
- Physical Review C, Vol. 46, Issue 1
Deeply virtual Compton scattering amplitude in the parton model
journal, October 2000
- Penttinen, M.; Polyakov, M. V.; Shuvaev, A. G.
- Physics Letters B, Vol. 491, Issue 1-2
The Deuteron Polarized Tensor Structure Function b 1
journal, October 2014
- Slifer, K.
- Journal of Physics: Conference Series, Vol. 543
Novel effects in deep inelastic scattering from spin-one hadrons
journal, January 1989
- Hoodbhoy, Pervez; Jaffe, R. L.; Manohar, Aneesh
- Nuclear Physics B, Vol. 312, Issue 3
Revisiting the mechanical properties of the nucleon
journal, January 2019
- Lorcé, Cédric; Moutarde, Hervé; Trawiński, Arkadiusz P.
- The European Physical Journal C, Vol. 79, Issue 1
Generalized Parton Distributions in the Deuteron
journal, September 2001
- Berger, E. R.; Cano, F.; Diehl, M.
- Physical Review Letters, Vol. 87, Issue 14
Hadron tomography by generalized distribution amplitudes in the pion-pair production process and gravitational form factors for pion
journal, January 2018
- Kumano, S.; Song, Qin-Tao; Teryaev, O. V.
- Physical Review D, Vol. 97, Issue 1
Deep inelastic leptoproduction of spin-one hadrons
journal, October 2000
- Bacchetta, A.; Mulders, P. J.
- Physical Review D, Vol. 62, Issue 11
New explicit expressions for Dirac bilinears
journal, January 2018
- Lorcé, Cédric
- Physical Review D, Vol. 97, Issue 1
Covariant Polarization Matrices for Massive and Massless Particles of Arbitrary Spin
journal, March 1965
- Zwanziger, Daniel
- Physical Review, Vol. 137, Issue 6B
Generalized parton distributions and strong forces inside nucleons and nuclei
journal, February 2003
- Polyakov, M. V.
- Physics Letters B, Vol. 555, Issue 1-2
On the hadron mass decomposition
journal, February 2018
- Lorcé, Cédric
- The European Physical Journal C, Vol. 78, Issue 2
Twist analysis of the nucleon spin in QCD
journal, October 2012
- Hatta, Yoshitaka; Yoshida, Shinsuke
- Journal of High Energy Physics, Vol. 2012, Issue 10
Counting form factors of twist-two operators
journal, March 2001
- Ji, Xiangdong; Lebed, Richard F.
- Physical Review D, Vol. 63, Issue 7
Generalized parton distributions
journal, December 2003
- Diehl, M.
- Physics Reports, Vol. 388, Issue 2-4
Positivity bounds on gluon TMDs for hadrons of spin ≤ 1
journal, November 2017
- Cotogno, Sabrina; van Daal, Tom; Mulders, Piet J.
- Journal of High Energy Physics, Vol. 2017, Issue 11
The angular momentum controversy: What’s it all about and does it matter?
journal, August 2014
- Leader, Elliot; Lorcé, Cédric
- Physics Reports, Vol. 541, Issue 3
Polarized deuteron structure functions at small x
journal, June 1997
- Edelmann, J.; Piller, G.; Weise, W.
- Zeitschrift für Physik A Hadrons and Nuclei, Vol. 357, Issue 2
Proton Mass Decomposition from the QCD Energy Momentum Tensor
journal, November 2018
- Yang, Yi-Bo; Liang, Jian; Bi, Yu-Jiang
- Physical Review Letters, Vol. 121, Issue 21
Stability of the pion and the pattern of chiral symmetry breaking
journal, December 2014
- Son, Hyeon-Dong; Kim, Hyun-Chul
- Physical Review D, Vol. 90, Issue 11
The relativistic center of mass in field theory with spin
journal, September 2018
- Lorcé, Cédric
- The European Physical Journal C, Vol. 78, Issue 9
Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all
journal, September 2016
- Accardi, A.; Albacete, J. L.; Anselmino, M.
- The European Physical Journal A, Vol. 52, Issue 9
Modern studies of the Deuteron: From the lab frame to the light front
journal, March 2015
- Boeglin, Werner; Sargsian, Misak
- International Journal of Modern Physics E, Vol. 24, Issue 03
Pionic and hidden-color, six-quark contributions to the deuteron structure function
journal, April 2014
- Miller, Gerald A.
- Physical Review C, Vol. 89, Issue 4
First lattice QCD study of the gluonic structure of light nuclei
journal, November 2017
- Winter, Frank; Detmold, William; Gambhir, Arjun S.
- Physical Review D, Vol. 96, Issue 9
Double-scattering contribution to in the deuteron
journal, June 1998
- Bora, K.; Jaffe, R. L.
- Physical Review D, Vol. 57, Issue 11
Spatial distribution of angular momentum inside the nucleon
journal, January 2018
- Lorcé, Cédric; Mantovani, Luca; Pasquini, Barbara
- Physics Letters B, Vol. 776
A covariant four‐dimensional expression for Lorentz transformations
journal, September 1982
- Fahnline, Donald E.
- American Journal of Physics, Vol. 50, Issue 9
Search for isotensor exotic meson and twist 4 contribution to <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi>γ</mml:mi><mml:mo>∗</mml:mo></mml:msup><mml:mi>γ</mml:mi><mml:mo>→</mml:mo><mml:mi>ρ</mml:mi><mml:mi>ρ</mml:mi></mml:math>
journal, October 2005
- Anikin, I. V.; Pire, B.; Teryaev, O. V.
- Physics Letters B, Vol. 626, Issue 1-4
Gauge invariance of DVCS off an arbitrary spin hadron: the deuteron target case
journal, July 2012
- Anikin, I. V.; Pasechnik, R. S.; Pire, B.
- The European Physical Journal C, Vol. 72, Issue 7
Gauge-invariant decomposition of nucleon spin
journal, June 2010
- Wakamatsu, M.
- Physical Review D, Vol. 81, Issue 11
Nucleon Spin and Momentum Decomposition Using Lattice QCD Simulations
text, January 2017
- Alexandrou, C.; Constantinou, M.; Hadjiyiannakou, K.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Gauge-invariant decomposition of nucleon spin
journal, May 2011
- Wakamatsu, Masashi
- Journal of Physics: Conference Series, Vol. 295
Generalized Parton Distributions
conference, January 2007
- Avakian, H.
- Proceedings of the 17th International Spin Physics Symposium, AIP Conference Proceedings
Electron Ion Collider: The Next QCD Frontier
text, January 2016
- Accardi, A.; Albacete, J. L.; Anselmino, M.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Generalized parton distributions in the deuteron
text, January 2001
- Berger, Edgar R.; Cano, F.; Diehl, M.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Nucleon Spin and Momentum Decomposition Using Lattice QCD Simulations
text, January 2017
- Alexandrou, C.; Constantinou, M.; Hadjiyiannakou, K.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Gauge invariance of DVCS off an arbitrary spin hadron: the deuteron target case
text, January 2011
- Anikin, I. V.; Pasechnik, R. S.; Pire, B.
- arXiv
The angular momentum controversy: What's it all about and does it matter?
text, January 2013
- Leader, E.; Lorce, C.
- arXiv
Stability of the pion and the pattern of chiral symmetry breaking
text, January 2014
- Son, Hyeon-Dong; Kim, Hyun-Chul
- arXiv
Gluon and Wilson loop TMDs for hadrons of spin $\leq$ 1
text, January 2016
- Boer, Daniël; Cotogno, Sabrina; van Daal, Tom
- arXiv
Spatial distribution of angular momentum inside the nucleon
text, January 2017
- Lorcé, Cédric; Mantovani, Luca; Pasquini, Barbara
- arXiv
The nucleon spin and momentum decomposition using lattice QCD simulations
text, January 2017
- Alexandrou, C.; Constantinou, M.; Hadjiyiannakou, K.
- arXiv
Positivity bounds on gluon TMDs for hadrons of spin $\le$ 1
text, January 2017
- Cotogno, Sabrina; van Daal, Tom; Mulders, Piet J.
- arXiv
Forces inside hadrons: pressure, surface tension, mechanical radius, and all that
text, January 2018
- Polyakov, Maxim V.; Schweitzer, Peter
- arXiv
On operator relations for gravitational form factors of a spin-0 hadron
text, January 2018
- Tanaka, Kazuhiro
- arXiv
Proton Mass Decomposition from the QCD Energy Momentum Tensor
text, January 2018
- Yang, Yi-Bo; Liang, Jian; Bi, Yu-Jiang
- arXiv
Revisiting the mechanical properties of the nucleon
text, January 2018
- Lorcé, Cédric; Moutarde, Hervé; Trawiński, Arkadiusz P.
- arXiv
Counting Form Factors of Twist-Two Operators
text, January 2000
- Ji, Xiangdong; Lebed, Richard F.
- arXiv
Generalized parton distributions and strong forces inside nucleons and nuclei
text, January 2002
- Polyakov, M. V.
- arXiv
A critique of the angular momentum sum rules and a new angular momentum sum rule
text, January 2004
- Bakker, B. L. G.; Leader, E.; Trueman, T. L.
- arXiv
Works referencing / citing this record:
Gravitational form factors of light mesons
journal, July 2019
- Freese, Adam; Cloët, Ian C.
- Physical Review C, Vol. 100, Issue 1
Gravitational form factors of a spin one particle
journal, August 2019
- Polyakov, Maxim V.; Sun, Bao-Dong
- Physical Review D, Vol. 100, Issue 3
Poincaré constraints on the gravitational form factors for massive states with arbitrary spin
journal, August 2019
- Cotogno, Sabrina; Lorcé, Cédric; Lowdon, Peter
- Physical Review D, Vol. 100, Issue 4
Energy momentum tensor and the term in the bag model
journal, February 2020
- Neubelt, Matt J.; Sampino, Andrew; Hudson, Jonathan
- Physical Review D, Vol. 101, Issue 3
Energy momentum tensor and the D-term in the bag model
text, January 2019
- Neubelt, Matt J.; Sampino, Andrew; Hudson, Jonathan
- arXiv
Analytic constraints on the energy-momentum tensor in conformal field theories
journal, December 2020
- Lorcé, Cédric; Lowdon, Peter
- Physical Review D, Vol. 102, Issue 12
Universality of the Poincaré gravitational form factor constraints
journal, March 2020
- Lorcé, Cédric; Lowdon, Peter
- The European Physical Journal C, Vol. 80, Issue 3
Gravitational form factor constraints and their universality
preprint, January 2020
- Lowdon, Peter; Cotogno, Sabrina; Lorcé, Cédric
- arXiv