skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

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.

Authors:
 [1]
  1. SLAC National Accelerator Laboratory (SLAC), Menlo Park, 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:
1225804
Grant/Contract Number:  
AC03-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 8; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; parton model; QCD; deep inelastic scattering; sum rules

Citation Formats

Lorce, Cedric. The light-front gauge-invariant energy-momentum tensor. United States: N. p., 2015. Web. doi:10.1007/JHEP08(2015)045.
Lorce, Cedric. The light-front gauge-invariant energy-momentum tensor. United States. doi:10.1007/JHEP08(2015)045.
Lorce, Cedric. Tue . "The light-front gauge-invariant energy-momentum tensor". United States. doi:10.1007/JHEP08(2015)045. https://www.osti.gov/servlets/purl/1225804.
@article{osti_1225804,
title = {The light-front gauge-invariant energy-momentum tensor},
author = {Lorce, Cedric},
abstractNote = {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.},
doi = {10.1007/JHEP08(2015)045},
journal = {Journal of High Energy Physics (Online)},
number = 8,
volume = 2015,
place = {United States},
year = {2015},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 7 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

On the spin angular momentum of mesons
journal, July 1939


General relativity with spin and torsion: Foundations and prospects
journal, July 1976

  • Hehl, Friedrich W.; von der Heyde, Paul; Kerlick, G. David
  • Reviews of Modern Physics, Vol. 48, Issue 3
  • DOI: 10.1103/RevModPhys.48.393

Metric-affine gauge theory of gravity: field equations, Noether identities, world spinors, and breaking of dilation invariance
journal, July 1995


The g1 problem: Deep inelastic electron scattering and the spin of the proton
journal, June 1990


Gauge-Invariant Decomposition of Nucleon Spin
journal, January 1997


The gauge-invariant angular momentum sum-rule for the proton
journal, August 2000


Conservation of the spin and orbital angular momenta in electromagnetism
journal, September 2014


Evidence for Polarization of Gluons in the Proton
journal, July 2014


Spin and Orbital Angular Momentum in Gauge Theories: Nucleon Spin Structure and Multipole Radiation Revisited
journal, June 2008


The angular momentum controversy: What’s it all about and does it matter?
journal, August 2014


Is gauge-invariant complete decomposition of the nucleon spin possible?
journal, April 2014


Wilson lines and orbital angular momentum
journal, February 2013


Gauge-Invariant Formulation of Quantum Electrodynamics
journal, November 1955

  • Dirac, P. A. M.
  • Canadian Journal of Physics, Vol. 33, Issue 11
  • DOI: 10.1139/p55-081

Quantum electrodynamics without potentials
journal, July 1962


Notes on the orbital angular momentum of quarks in the nucleon
journal, February 2012


Generalized parton correlation functions for a spin-1/2 hadron
journal, August 2009


Parton Physics on a Euclidean Lattice
journal, June 2013


Justifying the naive partonic sum rule for proton spin
journal, April 2015


Generalized parton distributions and strong forces inside nucleons and nuclei
journal, February 2003


Structure analysis of the generalized correlator of quark and gluon for a spin-1/2 target
journal, September 2013


Twist analysis of the nucleon spin in QCD
journal, October 2012

  • Hatta, Yoshitaka; Yoshida, Shinsuke
  • Journal of High Energy Physics, Vol. 2012, Issue 10
  • DOI: 10.1007/JHEP10(2012)080

Light-cone representation of the spin and orbital angular momentum of relativistic composite systems
journal, January 2001


Generalized parton distributions
journal, December 2003


Genuine twist-3 contributions to the generalized parton distributionsfrom instantons
journal, September 2004


Universality of T-odd effects in single spin and azimuthal asymmetries
journal, September 2003


Non-universality of transverse momentum dependent parton distribution functions
journal, May 2008


Gauge links for transverse momentum dependent correlators at tree-level
journal, July 2011

  • Buffing, M. G. A.; Mulders, P. J.
  • Journal of High Energy Physics, Vol. 2011, Issue 7
  • DOI: 10.1007/JHEP07(2011)065

Proton Spin Structure from Measurable Parton Distributions
journal, October 2012


Semi-inclusive deep inelastic scattering at small transverse momentum
journal, February 2007


The pretzelosity TMD and quark orbital angular momentum
journal, April 2012