A generalized functional central limit theorem in quantum field theory and some examples of the variance
2017 (English)In: Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications, ISSN 0167-8019, E-ISSN 1572-9036Article in journal (Refereed) Submitted
We prove a functional central limit theorem for additive functionals associated with the generalized Nelson Hamiltonian which is dened as a self adjoint operator consisting of a particle part, a boson part and an interaction. In this paper, the particle part is given, through a Bernstein function Ψ, by H(ψp) =ψ(-Δ) + V . As applications of our generalized theorem, we cite the classical and the relativistic cases proved in [?] and we obtain as new result the FCLT for the fractional case.
Place, publisher, year, edition, pages
Generalized Nelson model, Bernstein function, ground state, functional central limit theorems
Research subject Natural Science, Mathematics
IdentifiersURN: urn:nbn:se:lnu:diva-61920OAI: oai:DiVA.org:lnu-61920DiVA: diva2:1085119