Eisenhart lift and Randers–Finsler formulation for scalar field theory

Sumanto Chanda; Partha Guha

doi:10.1140/epjp/s13360-020-01066-4

Eisenhart lift and Randers–Finsler formulation for scalar field theory

Sumanto Chanda
, Partha Guha

Mathematics

International Center for Theoretical Sciences

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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.

Original language	British English
Article number	66
Journal	European Physical Journal Plus
Volume	136
Issue number	1
DOIs	https://doi.org/10.1140/epjp/s13360-020-01066-4
State	Published - Jan 2021

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AB - 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.

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Eisenhart lift and Randers–Finsler formulation for scalar field theory

Abstract

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