Eisenhart lift and Randers–Finsler formulation for scalar field theory
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
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