Partially alternate derivation of a result of Nelson. (English) Zbl 0165.58301

Summary: The result of E. Nelson [ “A quartic interaction in two dimensions” in: Proc. Conf. Math. Theory Element. Particles, Dedham, Mass. 1965, 69–73 (1965)] that the total Hamiltonian is semibounded for a self-interacting Boson field in two dimensions in a periodic box is derived by an alternate method. It is more elementary in so far as functional integration is not used.


81-XX Quantum theory


quantum theory
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[1] DOI: 10.1007/BF01646421 · Zbl 0173.29903
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