The light-front gauge-invariant energy-momentum tensor

Lorce, Cedric

doi:10.1007/JHEP08(2015)045

Title: The light-front gauge-invariant energy-momentum tensor

Journal Article · Tue Aug 11 00:00:00 EDT 2015 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP08(2015)045· OSTI ID:1225804

Lorce, Cedric ^[1]

SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

In this study, we provide for the first time a complete parametrization for the matrix elements of the generic asymmetric, non-local and gauge-invariant canonical energy-momentum tensor, generalizing therefore former works on the symmetric, local and gauge-invariant kinetic energy-momentum tensor also known as the Belinfante-Rosenfeld energy-momentum tensor. We discuss in detail the various constraints imposed by non-locality, linear and angular momentum conservation. We also derive the relations with two-parton generalized and transverse-momentum dependent distributions, clarifying what can be learned from the latter. In particular, we show explicitly that two-parton transverse-momentum dependent distributions cannot provide any model-independent information about the parton orbital angular momentum. On the way, we recover the Burkardt sum rule and obtain similar new sum rules for higher-twist distributions.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC03-76SF00515

OSTI ID:: 1225804

Journal Information:: Journal of High Energy Physics (Online), Vol. 2015, Issue 8; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 26 works

Citation information provided by
Web of Science

References (49)

On the spin angular momentum of mesons Belinfante, F. J. Physica, Vol. 6, Issue 7-12 https://doi.org/10.1016/S0031-8914(39)90090-X	journal	July 1939
On the current and the density of the electric charge, the energy, the linear momentum and the angular momentum of arbitrary fields Belinfante, F. J. Physica, Vol. 7, Issue 5 https://doi.org/10.1016/S0031-8914(40)90091-X	journal	May 1940
General relativity with spin and torsion: Foundations and prospects Hehl, Friedrich W.; von der Heyde, Paul; Kerlick, G. David Reviews of Modern Physics, Vol. 48, Issue 3 https://doi.org/10.1103/RevModPhys.48.393	journal	July 1976
Metric-affine gauge theory of gravity: field equations, Noether identities, world spinors, and breaking of dilation invariance Hehl, Friedrich W.; McCrea, J. Dermott; Mielke, Eckehard W. Physics Reports, Vol. 258, Issue 1-2 https://doi.org/10.1016/0370-1573(94)00111-F	journal	July 1995
The g1 problem: Deep inelastic electron scattering and the spin of the proton Jaffe, R. L.; Manohar, Aneesh Nuclear Physics B, Vol. 337, Issue 3 https://doi.org/10.1016/0550-3213(90)90506-9	journal	June 1990
Gauge-Invariant Decomposition of Nucleon Spin Ji, Xiangdong Physical Review Letters, Vol. 78, Issue 4 https://doi.org/10.1103/PhysRevLett.78.610	journal	January 1997
The gauge-invariant angular momentum sum-rule for the proton Shore, G. M.; White, B. E. Nuclear Physics B, Vol. 581, Issue 1-2 https://doi.org/10.1016/S0550-3213(00)00288-1	journal	August 2000
Conservation of the spin and orbital angular momenta in electromagnetism Bliokh, Konstantin Y.; Dressel, Justin; Nori, Franco New Journal of Physics, Vol. 16, Issue 9 https://doi.org/10.1088/1367-2630/16/9/093037	journal	September 2014
Evidence for Polarization of Gluons in the Proton de Florian, Daniel; Sassot, Rodolfo; Stratmann, Marco Physical Review Letters, Vol. 113, Issue 1 https://doi.org/10.1103/PhysRevLett.113.012001	journal	July 2014
Spin and Orbital Angular Momentum in Gauge Theories: Nucleon Spin Structure and Multipole Radiation Revisited Chen, Xiang-Song; Lü, Xiao-Fu; Sun, Wei-Min Physical Review Letters, Vol. 100, Issue 23 https://doi.org/10.1103/PhysRevLett.100.232002	journal	June 2008
The angular momentum controversy: What’s it all about and does it matter? Leader, Elliot; Lorcé, Cédric Physics Reports, Vol. 541, Issue 3 https://doi.org/10.1016/j.physrep.2014.02.010	journal	August 2014
Is gauge-invariant complete decomposition of the nucleon spin possible? Wakamatsu, Masashi International Journal of Modern Physics A, Vol. 29, Issue 09 https://doi.org/10.1142/S0217751X14300129	journal	April 2014
Wilson lines and orbital angular momentum Lorcé, Cédric Physics Letters B, Vol. 719, Issue 1-3 https://doi.org/10.1016/j.physletb.2013.01.007	journal	February 2013
Gauge-Invariant Formulation of Quantum Electrodynamics Dirac, P. A. M. Canadian Journal of Physics, Vol. 33, Issue 11 https://doi.org/10.1139/p55-081	journal	November 1955
Quantum electrodynamics without potentials Mandelstam, Stanley Annals of Physics, Vol. 19, Issue 1 https://doi.org/10.1016/0003-4916(62)90232-4	journal	July 1962
Gauge symmetry and background independence: Should the proton spin decomposition be path independent? Lorcé, Cédric Nuclear Physics A, Vol. 925 https://doi.org/10.1016/j.nuclphysa.2014.01.011	journal	May 2014
Foundations of Perturbative QCD Collins, John Cambridge Monographs on Particle Physics, Nuclear Physics, and Cosmology https://doi.org/10.1017/CBO9780511975592	book	May 2011
Notes on the orbital angular momentum of quarks in the nucleon Hatta, Yoshitaka Physics Letters B, Vol. 708, Issue 1-2 https://doi.org/10.1016/j.physletb.2012.01.024	journal	February 2012
Generalized parton correlation functions for a spin-1/2 hadron Meißner, Stephan; Metz, Andreas; Schlegel, Marc Journal of High Energy Physics, Vol. 2009, Issue 08 https://doi.org/10.1088/1126-6708/2009/08/056	journal	August 2009
Parton Physics on a Euclidean Lattice Ji, Xiangdong Physical Review Letters, Vol. 110, Issue 26 https://doi.org/10.1103/PhysRevLett.110.262002	journal	June 2013
Justifying the naive partonic sum rule for proton spin Ji, Xiangdong; Zhang, Jian-Hui; Zhao, Yong Physics Letters B, Vol. 743 https://doi.org/10.1016/j.physletb.2015.02.054	journal	April 2015
Generalized parton distributions and strong forces inside nucleons and nuclei Polyakov, M. V. Physics Letters B, Vol. 555, Issue 1-2 https://doi.org/10.1016/S0370-2693(03)00036-4	journal	February 2003
Structure analysis of the generalized correlator of quark and gluon for a spin-1/2 target Lorcé, C.; Pasquini, B. Journal of High Energy Physics, Vol. 2013, Issue 9 https://doi.org/10.1007/JHEP09(2013)138	journal	September 2013
Twist analysis of the nucleon spin in QCD Hatta, Yoshitaka; Yoshida, Shinsuke Journal of High Energy Physics, Vol. 2012, Issue 10 https://doi.org/10.1007/JHEP10(2012)080	journal	October 2012
Light-cone representation of the spin and orbital angular momentum of relativistic composite systems Brodsky, Stanley J.; Hwang, Dae Sung; Ma, Bo-Qiang Nuclear Physics B, Vol. 593, Issue 1-2 https://doi.org/10.1016/S0550-3213(00)00626-X	journal	January 2001
Generalized parton distributions Diehl, M. Physics Reports, Vol. 388, Issue 2-4 https://doi.org/10.1016/j.physrep.2003.08.002	journal	December 2003
Genuine twist-3 contributions to the generalized parton distributionsfrom instantons Kiptily, D. V.; Polyakov, M. V. The European Physical Journal C, Vol. 37, Issue 1 https://doi.org/10.1140/epjc/s2004-01957-3	journal	September 2004
Universality of T-odd effects in single spin and azimuthal asymmetries Boer, D.; Mulders, P. J.; Pijlman, F. Nuclear Physics B, Vol. 667, Issue 1-2 https://doi.org/10.1016/S0550-3213(03)00527-3	journal	September 2003
Non-universality of transverse momentum dependent parton distribution functions Bomhof, C. J.; Mulders, P. J. Nuclear Physics B, Vol. 795, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2007.11.024	journal	May 2008
Gauge links for transverse momentum dependent correlators at tree-level Buffing, M. G. A.; Mulders, P. J. Journal of High Energy Physics, Vol. 2011, Issue 7 https://doi.org/10.1007/JHEP07(2011)065	journal	July 2011
Proton Spin Structure from Measurable Parton Distributions Ji, Xiangdong; Xiong, Xiaonu; Yuan, Feng Physical Review Letters, Vol. 109, Issue 15 https://doi.org/10.1103/PhysRevLett.109.152005	journal	October 2012
Semi-inclusive deep inelastic scattering at small transverse momentum Bacchetta, Alessandro; Diehl, Markus; Goeke, Klaus Journal of High Energy Physics, Vol. 2007, Issue 02 https://doi.org/10.1088/1126-6708/2007/02/093	journal	February 2007
The pretzelosity TMD and quark orbital angular momentum Lorcé, C.; Pasquini, B. Physics Letters B, Vol. 710, Issue 3 https://doi.org/10.1016/j.physletb.2012.03.025	journal	April 2012
Gauge-invariant decomposition of nucleon spin Wakamatsu, Masashi Journal of Physics: Conference Series, Vol. 295 https://doi.org/10.1088/1742-6596/295/1/012038	journal	May 2011
Generalized Parton Distributions Avakian, H. Proceedings of the 17th International Spin Physics Symposium, AIP Conference Proceedings https://doi.org/10.1063/1.2750745	conference	January 2007
Non-universality of transverse momentum dependent parton distribution functions Bomhof, C. J.; Mulders, P. J. arXiv https://doi.org/10.48550/arxiv.0709.1390	text	January 2007
Generalized parton correlation functions for a spin-1/2 hadron Meissner, S.; Metz, A.; Schlegel, M. arXiv https://doi.org/10.48550/arxiv.0906.5323	text	January 2009
Notes on the orbital angular momentum of quarks in the nucleon Hatta, Yoshitaka arXiv https://doi.org/10.48550/arxiv.1111.3547	text	January 2011
Proton Spin Structure from Measurable Parton Distributions Ji, Xiangdong; Xiong, Xiaonu; Yuan, Feng arXiv https://doi.org/10.48550/arxiv.1202.2843	text	January 2012
Wilson lines and orbital angular momentum Lorcé, Cédric arXiv https://doi.org/10.48550/arxiv.1210.2581	text	January 2012
Parton Physics on Euclidean Lattice Ji, Xiangdong arXiv https://doi.org/10.48550/arxiv.1305.1539	text	January 2013
Gauge symmetry and background independence: Should the proton spin decomposition be path independent? Lorcé, Cédric arXiv https://doi.org/10.48550/arxiv.1306.0456	text	January 2013
Structure analysis of the generalized correlator of quark and gluon for a spin-1/2 target Lorcé, C.; Pasquini, B. arXiv https://doi.org/10.48550/arxiv.1307.4497	text	January 2013
The angular momentum controversy: What's it all about and does it matter? Leader, E.; Lorce, C. arXiv https://doi.org/10.48550/arxiv.1309.4235	text	January 2013
Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance Hehl, F. W.; McCrea, J. D.; Mielke, E. W. arXiv https://doi.org/10.48550/arxiv.gr-qc/9402012	text	January 1994
Generalized parton distributions and strong forces inside nucleons and nuclei Polyakov, M. V. arXiv https://doi.org/10.48550/arxiv.hep-ph/0210165	text	January 2002
Universality of T-odd effects in single spin and azimuthal asymmetries Boer, Daniel; Mulders, P. J.; Pijlman, F. arXiv https://doi.org/10.48550/arxiv.hep-ph/0303034	text	January 2003
Generalized Parton Distributions Diehl, M. arXiv https://doi.org/10.48550/arxiv.hep-ph/0307382	text	January 2003
The Gauge-Invariant Angular Momentum Sum-Rule for the Proton Shore, G. M.; White, B. E. arXiv https://doi.org/10.48550/arxiv.hep-ph/9912341	text	January 1999

Cited By (14)

Where do we stand with a 3-D picture of the proton? Bacchetta, Alessandro The European Physical Journal A, Vol. 52, Issue 6 https://doi.org/10.1140/epja/i2016-16163-5	journal	June 2016
Pion and kaon structure at the electron-ion collider Aguilar, Arlene C.; Ahmed, Zafir; Aidala, Christine The European Physical Journal A, Vol. 55, Issue 10 https://doi.org/10.1140/epja/i2019-12885-0	journal	October 2019
The relativistic center of mass in field theory with spin Lorcé, Cédric The European Physical Journal C, Vol. 78, Issue 9 https://doi.org/10.1140/epjc/s10052-018-6249-3	journal	September 2018
Revisiting the mechanical properties of the nucleon Lorcé, Cédric; Moutarde, Hervé; Trawiński, Arkadiusz P. The European Physical Journal C, Vol. 79, Issue 1 https://doi.org/10.1140/epjc/s10052-019-6572-3	journal	January 2019
The energy-momentum tensor of spin-1 hadrons: formalism Cosyn, Wim; Cotogno, Sabrina; Freese, Adam The European Physical Journal C, Vol. 79, Issue 6 https://doi.org/10.1140/epjc/s10052-019-6981-3	journal	June 2019
On the hadron mass decomposition Lorcé, Cédric Zenodo https://doi.org/10.5281/zenodo.3942502	text	January 2020
On the hadron mass decomposition Lorcé, Cédric Zenodo https://doi.org/10.5281/zenodo.3942503	text	January 2020
On the hadron mass decomposition Lorcé, Cédric The European Physical Journal C, Vol. 78, Issue 2 https://doi.org/10.1140/epjc/s10052-018-5561-2	journal	February 2018
Asymmetries in Heavy Quark Pair and Dijet Production at an EIC Boer, Daniël; Mulders, Piet J.; Pisano, Cristian arXiv https://doi.org/10.48550/arxiv.1605.07934	text	January 2016
The relativistic center of mass in field theory with spin Lorcé, Cédric arXiv https://doi.org/10.48550/arxiv.1805.05284	text	January 2018
Forces inside hadrons: pressure, surface tension, mechanical radius, and all that Polyakov, Maxim V.; Schweitzer, Peter arXiv https://doi.org/10.48550/arxiv.1805.06596	text	January 2018
Revisiting the mechanical properties of the nucleon Lorcé, Cédric; Moutarde, Hervé; Trawiński, Arkadiusz P. arXiv https://doi.org/10.48550/arxiv.1810.09837	text	January 2018
The energy-momentum tensor of spin-1 hadrons: formalism Cosyn, Wim; Cotogno, Sabrina; Freese, Adam arXiv https://doi.org/10.48550/arxiv.1903.00408	text	January 2019
Pion and Kaon Structure at the Electron-Ion Collider Aguilar, Arlene C.; Ahmed, Zafir; Aidala, Christine arXiv https://doi.org/10.48550/arxiv.1907.08218	text	January 2019

Similar Records

Gauge-symmetrization method for energy-momentum tensors in high-order electromagnetic field theories

Journal Article · Fri Jul 16 00:00:00 EDT 2021 · Physical Review D · OSTI ID:1225804

Fan, Peifeng; Xiao, Jianyuan; Qin, Hong

The energy-momentum tensor of spin-1 hadrons: formalism

Journal Article · Wed Jun 05 00:00:00 EDT 2019 · European Physical Journal. C, Particles and Fields · OSTI ID:1225804

Cosyn, Wim; Cotogno, Sabrina; Freese, Adam; +1 more

Chiral-odd generalized parton distributions, transversity decomposition of angular momentum, and tensor charges of the nucleon

Journal Article · Thu Jan 01 00:00:00 EST 2009 · Physical Review. D, Particles Fields · OSTI ID:1225804

Wakamatsu, M

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
parton model
QCD
deep inelastic scattering
sum rules

Title: The light-front gauge-invariant energy-momentum tensor

Citation Formats

References (49)

Cited By (14)

Similar Records

Related Subjects