Local observables and particle statistics I

Effects of cluster particle correlations on local parity violation observables

Gravitational observables and local symmetries.

Using a recent classification of local symmetries of the vacuum Einstein equations, it is shown that there can be no observables for the vacuum gravitational field (in a closed universe) built as spatial integrals of local functions of Cauchy data and their derivatives.

A Lattice Model of Local Algebras of Observables and Elds with Braid Group Statistics

Using the 6j-symbols and the R-matrix for the quantum group S l q (2; C) at roots of unity we construct local algebras of observables and elds with braid group statistics on the lattice Z. These algebras are closely related to the XXZ-Heisenberg model and the RSOS models thus exhibiting the quantum group symmetry of these models. Our discussion relates the theory of integrable lattice models to...

Local Observables in Quantum Theory

The Pauli theory of electrons is formulated in the language of multivector calculus. The advantages of this approach are demonstrated in an analysis of local observables. Planck’s constant is shown to enter the theory only through the magnitude of the spin. Further, it is shown that, when obtained as a limiting case of the Pauli theory, the Schrödinger theory describes a particle with constant ...

Local Approximation of Observables and Commutator Bounds

We discuss conditional expectations that can be used as generalizations of the partial trace for quantum systems with an infinite-dimensional Hilbert space of states.