States and amplitudes for finite regions in a two-dimensional Euclidean quantum field theory
arXiv:0811.4166 · doi:10.1016/j.geomphys.2009.03.004
Abstract
We quantize the Helmholtz equation (plus perturbative interactions) in two dimensions to illustrate a manifestly local description of quantum field theory. Using the general boundary formulation we describe the quantum dynamics both in a traditional time evolution setting as well as in a setting referring to finite disk (or annulus) shaped regions of spacetime. We demonstrate that both descriptions are equivalent when they should be.
19 pages, LaTeX + revtex4; minor corrections