Infinite volume limits in Euclidean quantum field theory via stereographic projection
Mathematical Physics
2018-11-01 v4 Functional Analysis
math.MP
Abstract
We present a general infinite volume limit construction of probability measures obeying the Glimm-Jaffe axioms of Euclidean quantum field theory in arbitrary space-time dimension. In particular, we obtain measures that may be interpreted as corresponding to scalar quantum fields with arbitrary bounded continuous self-interaction. It remains however an open problem whether this general construction contains non-Gaussian measures.
Keywords
Cite
@article{arxiv.1701.05569,
title = {Infinite volume limits in Euclidean quantum field theory via stereographic projection},
author = {Svetoslav Zahariev},
journal= {arXiv preprint arXiv:1701.05569},
year = {2018}
}
Comments
New title. Final version, to appear in Annales Henri Poincar\'e