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arXiv · 2510.01200

Generalized Mandelstam-Leibbrandt regularization

Jorge Alfaro
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Abstract

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.

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Jorge Alfaro. 2025-09-11. Generalized Mandelstam-Leibbrandt regularization. https://doi.org/10.1103/6v6s-3lwj

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