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The dual sector of the ϕ4 Theory in 4D

F. Gliozzi, M. Leone

hep-latarXiv:hep-lat/9808044

Abstract

The one-component λϕ4 theory in four dimensions in the spontaneously broken symmetry phase has a non-trivial, non-perturbative sector which can be studied by means of a duality transformation of its Ising limit. Duality maps this theory to a model of interacting membranes. Physical states correspond to membrane excitations. The way this non-perturbative behaviour can be reconciled with the triviality of the theory in its continuum limit is discussed.

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