2007/08/05 by Daniel H. T. Franco, Franco, Daniel H. T.
Mathematics · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Quantum Mechanics and Applications #advanced mathematical theories #math-ph #math.FA #math.MP
paper · pdf · doi:10.48550/arxiv.0708.0652
arxiv created 2007/08/05 · openalex publication_date 2007/08/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.