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Eisenhart lift and Randers-Finsler formulation for scalar field theory

Published 13 May 2019 in physics.class-ph, math-ph, and math.MP | (1905.06188v9)

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.

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