A solution to the zero-hamiltonian problem in 2-D gravity
C.P. Constantinidis, F.P. Devecchi, D.F. Marchioro
TL;DR
This paper addresses the zero-hamiltonian problem in 2-D gravity by systematically deriving the reduced phase-space physics through complete gauge fixing, providing a solution for a key issue in reparametrization invariant systems.
Contribution
The paper introduces a method to solve the zero-hamiltonian problem in 2-D gravity using gauge fixing and phase-space reduction techniques, advancing understanding of constrained systems.
Findings
Successfully derives the effective Hamiltonian after gauge fixing
Provides a systematic approach to the zero-hamiltonian problem in 2-D gravity
Clarifies the structure of reduced phase-space physics in the model
Abstract
The zero-hamiltonian problem, present in reparametrization invariant systems, is solved for the 2-D induced gravity model. Working with methods developed by Henneaux et al. we find systematically the reduced phase-space physics, generated by an {\it effective} hamiltonian obtained after complete gauge fixing.
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