Infinite volume limits in Euclidean quantum field theory via stereographic projection
arXiv:1701.05569 · doi:10.1007/s00023-018-0709-z
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.
New title. Final version, to appear in Annales Henri Poincaré