## Regularization of the light-cone gauge gluon propagator singularities using sub-gauge conditions

## Abstract

Perturbative QCD calculations in the light-cone gauge have long suffered from the ambiguity associated with the regularization of the poles in the gluon propagator. In this work we study sub-gauge conditions within the light-cone gauge corresponding to several known ways of regulating the gluon propagator. By using the functional integral calculation of the gluon propagator, we rederive the known sub-gauge conditions for the θ-function gauges and identify the sub-gauge condition for the principal value (PV) regularization of the gluon propagator’s light-cone poles. The obtained sub-gauge condition for the PV case is further verified by a sample calculation of the classical Yang-Mills field of two collinear ultrarelativistic point color charges. Our method does not allow one to construct a sub-gauge condition corresponding to the well-known Mandelstam-Leibbrandt prescription for regulating the gluon propagator poles.

- Authors:

- The Ohio State Univ., Columbus, OH (United States). Dept of Physics

- Publication Date:

- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

- OSTI Identifier:
- 1422730

- Grant/Contract Number:
- AC02-05CH11231; SC0004286

- 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: 12; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QCD Phenomenology; NLO Computations

### Citation Formats

```
Chirilli, Giovanni A., Kovchegov, Yuri V., and Wertepny, Douglas E. Regularization of the light-cone gauge gluon propagator singularities using sub-gauge conditions. United States: N. p., 2015.
Web. doi:10.1007/JHEP12(2015)138.
```

```
Chirilli, Giovanni A., Kovchegov, Yuri V., & Wertepny, Douglas E. Regularization of the light-cone gauge gluon propagator singularities using sub-gauge conditions. United States. doi:10.1007/JHEP12(2015)138.
```

```
Chirilli, Giovanni A., Kovchegov, Yuri V., and Wertepny, Douglas E. Mon .
"Regularization of the light-cone gauge gluon propagator singularities using sub-gauge conditions". United States. doi:10.1007/JHEP12(2015)138. https://www.osti.gov/servlets/purl/1422730.
```

```
@article{osti_1422730,
```

title = {Regularization of the light-cone gauge gluon propagator singularities using sub-gauge conditions},

author = {Chirilli, Giovanni A. and Kovchegov, Yuri V. and Wertepny, Douglas E.},

abstractNote = {Perturbative QCD calculations in the light-cone gauge have long suffered from the ambiguity associated with the regularization of the poles in the gluon propagator. In this work we study sub-gauge conditions within the light-cone gauge corresponding to several known ways of regulating the gluon propagator. By using the functional integral calculation of the gluon propagator, we rederive the known sub-gauge conditions for the θ-function gauges and identify the sub-gauge condition for the principal value (PV) regularization of the gluon propagator’s light-cone poles. The obtained sub-gauge condition for the PV case is further verified by a sample calculation of the classical Yang-Mills field of two collinear ultrarelativistic point color charges. Our method does not allow one to construct a sub-gauge condition corresponding to the well-known Mandelstam-Leibbrandt prescription for regulating the gluon propagator poles.},

doi = {10.1007/JHEP12(2015)138},

journal = {Journal of High Energy Physics (Online)},

number = 12,

volume = 2015,

place = {United States},

year = {2015},

month = {12}

}

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