Chapter

Parametrized and relational systems

Claus Kiefer

in Quantum Gravity

Published in print April 2012 | ISBN: 9780199585205
Published online May 2012 | e-ISBN: 9780191739378 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199585205.003.0003

Series: International Series of Monographs on Physics

Parametrized and relational systems

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This chapter considers systems that share common features with quantum gravity but which are much simpler to study. It starts with the parametrized non-relativistic particle and the relativistic particle. The free bosonic string and parameterized field theories are then discussed at some length. The chapter proceeds with a discussion of relational dynamical systems such as the model pioneered by Barbour and Bertotti. It concludes with a general section on constrained systems.

Keywords: Reparametrization invariance; constrained systems; parameterized particle and field theory; relativistic particle; free bosonic string; Barbour-Bertotti model

Chapter.  13824 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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