75 research outputs found
Microlocal Analysis and Interacting Quantum Field Theories: Renormalization on Physical Backgrounds
We present a perturbative construction of interacting quantum field theories
on any smooth globally hyperbolic manifold. We develop a purely local version
of the Stueckelberg-Bogoliubov-Epstein-Glaser method of renormalization using
techniques from microlocal analysis. As byproducts, we describe a perturbative
construction of local algebras of observables, present a new definition of Wick
polynomials as operator-valued distributions on a natural domain, and we find a
general method for the extension of distributions which were defined on the
complement of some surfaces.Comment: 38 pages, LaTeX with AMSLaTeX style option, Micro.tex macrofil
Remarks on time-energy uncertainty relations
Using a recent construction of observables characterizing the time of
occurence of an effect in quantum theory, we present a rigorous derivation of
the standard time-energy uncertainty relation. In addition, we prove an
uncertainty relation for time measurements only.Comment: 9 pages, to be pubblished in Rev. Math. Phys. issue in honor of H.
Arak
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