# Infinite Volume Limits in Euclidean Quantum Field Theory via Stereographic Projection

@article{Zahariev2017InfiniteVL, title={Infinite Volume Limits in Euclidean Quantum Field Theory via Stereographic Projection}, author={Svetoslav Zahariev}, journal={Annales Henri Poincar{\'e}}, year={2017}, volume={19}, pages={3267-3287} }

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.

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