New Hamiltonian analysis of Regge Teitelboim minisuperspace cosmology

TL;DR

This paper introduces a new Hamiltonian formulation for Regge-Teitelboim minisuperspace cosmology using higher derivative theories and demonstrates its gauge structure and potential for quantization.

Contribution

It presents a novel Hamiltonian approach based on the equivalent first order formalism for the Regge-Teitelboim model, revealing its algebraic structure and gauge symmetries.

Findings

Constraint algebra forms a truncated Virasoro algebra

Constructed the gauge generator with correct gauge parameters

Demonstrated equivalence between gauge and reparametrization symmetries

Abstract

A new Hamiltonian formulation of the minisuperspace cosmology following from the geodetic brane gravity model introduced by Regge and Teitelboim is presented. The model is considered in the framework of higher derivative theories which facilitates Hamiltonian formulation. The analysis is done using the equivalent first order approach. The constraint algebra is shown to realize a truncated Virasoro algebra. The gauge generator containing the exact number of gauge parameters is constructed. Equivalence between the gauge and reparametrization symmetries has been demonstrated. Complete gauge fixed computations have been provided and formal quantization is indicated.