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}
}
  • S. Zahariev
  • Published 19 January 2017
  • Mathematics
  • Annales Henri Poincaré
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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