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Generalized Mandelstam-Leibbrandt regularization

J. Alfaro*

  • *Contact author: jalfaro@uc.cl
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Phys. Rev. D 112, 085017 – Published 21 October, 2025

DOI: https://doi.org/10.1103/6v6s-3lwj

Abstract

Algebraic noncovariant gauges are used often in string theory, Chern-Simons theory, and 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, 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 nonlocal models.

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Phys. Rev. D 112, 085017– Published 21 October, 2025
  • Received 25 July 2025
  • Accepted 11 September 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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