# 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:

- 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}

}

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