https://doi.org/10.1140/epjc/s10052-024-12480-8
Regular Article - Theoretical Physics
Formulation of Galilean relativistic Born–Infeld theory
1
Department of Astrophysics and High Energy Physics, S.N. Bose National Center for Basic Sciences, 700106, Kolkata, India
2
Department of Physics, Indian Institute of Technology Guwahati, 781039, Guwahati, Assam, India
Received:
16
November
2023
Accepted:
26
January
2024
Published online:
8
February
2024
In this paper, we formulate, for the first time, in a systematic manner, Galilean relativistic Born–Infeld action in detail. Exploiting maps connecting Lorentz relativistic and Galilean relativistic vectors, we construct the two limits (electric and magnetic) of Galilean relativistic Born–Infeld action from usual relativistic Born–Infeld theory. An action formalism is thereby derived. From this action, equations of motion are obtained either in the potential or field formulation. Galilean version of duality transformations involving the electric and magnetic fields are defined. They map the electric limit relations to the magnetic ones and vice-versa, exactly as happens for Galilean relativistic Maxwell theory. We also explicitly show the Galilean boost and gauge invariances of the theory in both limits.
Rabin Banerjee: DAE Raja Ramanna fellow.
© The Author(s) 2024
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.
