Classical and quantum dynamics of confined test particles in brane gravity

Classical Dynamics of Point Particles in 2+1 Gravity

The relation between Einstein gravity and the Chern-Simons gauge theory of the Poincaré group is discussed at the classical level. The general form of the gauge field is described in the presence of point sources, corresponding to non-abelian anyons. They have arbitrary motion apart from particle exchanges, which are governed by the braid group. The gravitational classical interaction appears w...

Brane-world Quantum Gravity

The Arnowitt-Deser-Misner canonical formulation of general relativity is extended to the covariant brane-world theory in arbitrary dimensions. The exclusive probing of the extra dimensions makes a substantial difference, allowing for the construction of a non-constrained canonical theory. The quantum states of the brane-world geometry are defined by the Tomonaga-Schwinger equation, whose integr...

Classical and Quantum Brane Cosmology

The first part of this lecture quickly touches upon some important but infrequently discussed issues in large extra dimension and warped extra dimension scenarios, with particular reference to effects in the early universe. The second part discusses a modification and extension of an earlier proposal by Brown and Teitelboim to relax the effective cosmological term by nucleation of fundamental m...

Classical and Quantum Gravity

Essentials of Classical Brane Dynamics

This article provides a self contained overview of the geometry and dynamics of relativistic brane models, of the category that includes point particle, string, and membrane representations for phenomena that can be considered as being confined to a worldsheet of the corresponding dimension (respectively one, two, and three) in a thin limit approximation in an ordinary 4 dimensional spacetime b...