The divergence of Van Hove's model and its consequences
High Energy Physics - Theory
2021-11-05 v1 Quantum Physics
Abstract
We study a regularized version of Van Hove's 1952 model, in which a quantum field interacts linearly with sources of finite width lying at fixed positions. We show that the central result of Van Hove's 1952 paper on the foundations of Quantum Field Theory, the orthogonality between the spaces of state vectors which correspond to different values of the parameters of the theory, disappears when a well-defined model is considered. We comment on the implications of our results for the contemporary relevance of Van Hove's article.
Keywords
Cite
@article{arxiv.2111.02621,
title = {The divergence of Van Hove's model and its consequences},
author = {Fulvio Sbisà},
journal= {arXiv preprint arXiv:2111.02621},
year = {2021}
}
Comments
24 page, no figures, PDFLatex; differs from the published version almost only in the layout