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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.01200 |
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| _version_ | 1866914078745690112 |
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| author | Alfaro, Jorge |
| author_facet | Alfaro, Jorge |
| contents | Algebraic non-covariant gauges are used often in string theory, Chern-Simons theory, gravitation and gauge theories. Loop integrals, however, have spurious singularities that need to be regularized. The most popular and consistent regularization is the Mandelstam- Leibbrandt(ML) prescription.
This paper extends the ML prescription outside the light cone. It shares all the properties of
light-cone ML regularization: It preserves naive power counting and gauge
invariance. Moreover, using dimensional regularization(DR), we get a closed
form for the basic integrals, including divergent and finite pieces. These results simplify calculations in gauge theories and open new avenues for applications in non-local models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_01200 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized Mandelstam-Leibbrandt regularization Alfaro, Jorge High Energy Physics - Theory Algebraic non-covariant gauges are used often in string theory, Chern-Simons theory, gravitation and gauge theories. Loop integrals, however, have spurious singularities that need to be regularized. The most popular and consistent regularization is the Mandelstam- Leibbrandt(ML) prescription. This paper extends the ML prescription outside the light cone. It shares all the properties of light-cone ML regularization: It preserves naive power counting and gauge invariance. Moreover, using dimensional regularization(DR), we get a closed form for the basic integrals, including divergent and finite pieces. These results simplify calculations in gauge theories and open new avenues for applications in non-local models. |
| title | Generalized Mandelstam-Leibbrandt regularization |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.01200 |