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

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:

Lorce, Cedric ^[1]

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

Publication Date:: Tue Aug 11 00:00:00 EDT 2015

Research Org.:: SLAC National Accelerator Laboratory (SLAC), 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.

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                    Lorce, Cedric. The light-front gauge-invariant energy-momentum tensor.  United States.  https://doi.org/10.1007/JHEP08(2015)045

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                    Lorce, Cedric. Tue .  
"The light-front gauge-invariant energy-momentum tensor".  United States.  https://doi.org/10.1007/JHEP08(2015)045.  https://www.osti.gov/servlets/purl/1225804.

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@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         = {Tue Aug 11 00:00:00 EDT 2015},

  month        = {Tue Aug 11 00:00:00 EDT 2015}

}

Copy to clipboard

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Works referenced in this record:

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Works referencing / citing this record:

Where do we stand with a 3-D picture of the proton?
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Bacchetta, Alessandro
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Cosyn, Wim; Cotogno, Sabrina; Freese, Adam
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Title: The light-front gauge-invariant energy-momentum tensor

Abstract

Citation Formats

On the spin angular momentum of mesons 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 journal, May 1940

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

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

Quantum electrodynamics without potentials journal, July 1962

Gauge symmetry and background independence: Should the proton spin decomposition be path independent? journal, May 2014

Foundations of Perturbative QCD book, May 2011

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

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

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

Gauge-invariant decomposition of nucleon spin journal, May 2011

Generalized Parton Distributions conference, January 2007

Non-universality of transverse momentum dependent parton distribution functions text, January 2007

Generalized parton correlation functions for a spin-1/2 hadron text, January 2009

Notes on the orbital angular momentum of quarks in the nucleon text, January 2011

Proton Spin Structure from Measurable Parton Distributions text, January 2012

Wilson lines and orbital angular momentum text, January 2012

Parton Physics on Euclidean Lattice text, January 2013

Gauge symmetry and background independence: Should the proton spin decomposition be path independent? text, January 2013

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

The angular momentum controversy: What's it all about and does it matter? text, January 2013

Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance text, January 1994

Generalized parton distributions and strong forces inside nucleons and nuclei text, January 2002

Universality of T-odd effects in single spin and azimuthal asymmetries text, January 2003

Generalized Parton Distributions text, January 2003

The Gauge-Invariant Angular Momentum Sum-Rule for the Proton text, January 1999

Where do we stand with a 3-D picture of the proton? journal, June 2016

Pion and kaon structure at the electron-ion collider journal, October 2019

The relativistic center of mass in field theory with spin journal, September 2018

Revisiting the mechanical properties of the nucleon journal, January 2019

The energy-momentum tensor of spin-1 hadrons: formalism journal, June 2019

On the hadron mass decomposition text, January 2020

On the hadron mass decomposition text, January 2020

On the hadron mass decomposition journal, February 2018

Asymmetries in Heavy Quark Pair and Dijet Production at an EIC text, January 2016

The relativistic center of mass in field theory with spin text, January 2018

Forces inside hadrons: pressure, surface tension, mechanical radius, and all that text, January 2018

Revisiting the mechanical properties of the nucleon text, January 2018

The energy-momentum tensor of spin-1 hadrons: formalism text, January 2019

Pion and Kaon Structure at the Electron-Ion Collider text, January 2019

On the spin angular momentum of mesons
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
journal, May 1940

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

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

Quantum electrodynamics without potentials
journal, July 1962

Gauge symmetry and background independence: Should the proton spin decomposition be path independent?
journal, May 2014

Foundations of Perturbative QCD
book, May 2011

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

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

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

Gauge-invariant decomposition of nucleon spin
journal, May 2011

Generalized Parton Distributions
conference, January 2007

Non-universality of transverse momentum dependent parton distribution functions
text, January 2007

Generalized parton correlation functions for a spin-1/2 hadron
text, January 2009

Notes on the orbital angular momentum of quarks in the nucleon
text, January 2011

Proton Spin Structure from Measurable Parton Distributions
text, January 2012

Wilson lines and orbital angular momentum
text, January 2012

Parton Physics on Euclidean Lattice
text, January 2013

Gauge symmetry and background independence: Should the proton spin decomposition be path independent?
text, January 2013

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

The angular momentum controversy: What's it all about and does it matter?
text, January 2013

Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
text, January 1994

Generalized parton distributions and strong forces inside nucleons and nuclei
text, January 2002

Universality of T-odd effects in single spin and azimuthal asymmetries
text, January 2003

Generalized Parton Distributions
text, January 2003

The Gauge-Invariant Angular Momentum Sum-Rule for the Proton
text, January 1999

Where do we stand with a 3-D picture of the proton?
journal, June 2016

Pion and kaon structure at the electron-ion collider
journal, October 2019

The relativistic center of mass in field theory with spin
journal, September 2018

Revisiting the mechanical properties of the nucleon
journal, January 2019

The energy-momentum tensor of spin-1 hadrons: formalism
journal, June 2019

On the hadron mass decomposition
text, January 2020

On the hadron mass decomposition
text, January 2020

On the hadron mass decomposition
journal, February 2018

Asymmetries in Heavy Quark Pair and Dijet Production at an EIC
text, January 2016

The relativistic center of mass in field theory with spin
text, January 2018

Forces inside hadrons: pressure, surface tension, mechanical radius, and all that
text, January 2018

Revisiting the mechanical properties of the nucleon
text, January 2018

The energy-momentum tensor of spin-1 hadrons: formalism
text, January 2019

Pion and Kaon Structure at the Electron-Ion Collider
text, January 2019