A Uniqueness Theorem and Its Application to Field-Theoretical Models with a Fundamental Length
Functional Analysis
2007-08-07 v1 Mathematical Physics
math.MP
Abstract
It is shown that if a distribution V of exponential growth has support in a proper convex cone and its Fourier transform is carried by a closed cone different from whole space, then V=0. The application of this result to a {\em quasi-local} quantum field theory (where the fields are localizable only in regions greater than a certain scale of nonlocality) is contemplated. In particular, we show that a number of physically important predictions of {\em local} quantum field theory also hold in a quantum field theory with a fundamental length, as indicated from string theory.
Keywords
Cite
@article{arxiv.0708.0652,
title = {A Uniqueness Theorem and Its Application to Field-Theoretical Models with a Fundamental Length},
author = {Daniel H. T. Franco},
journal= {arXiv preprint arXiv:0708.0652},
year = {2007}
}