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arXiv · 1701.05569

Infinite volume limits in Euclidean quantum field theory via stereographic projection

Svetoslav Zahariev
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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.

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Svetoslav Zahariev. 2017-01-19. Infinite volume limits in Euclidean quantum field theory via stereographic projection. https://doi.org/10.1007/s00023-018-0709-z

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