https://doi.org/10.1140/epjp/s13360-020-01066-4
Regular Article
Eisenhart lift and Randers–Finsler formulation for scalar field theory
1
International Centre for Theoretical Sciences, No. 151, Shivakote, Hesaraghatta Hobli, 560089, Bengaluru, Karnataka, India
2
Department of Mathematics, Khalifa University, Zone 1, Abu Dhabi, United Arab Emirates
Received:
2
November
2020
Accepted:
31
December
2020
Published online:
11
January
2021
We study scalar field theory as a generalization of point particle mechanics using the Polyakov action and demonstrate how to extend Lorentzian and Riemannian Eisenhart lifts to the theory in a similar manner. Then, we explore extension of the Randers–Finsler formulation and its principles to the Nambu–Goto action and describe a Jacobi Lagrangian for it.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
