The dual sector of the φ^4 Theory in 4D

Details The dual sector of the φ^4 Theory in 4D The dual sector of the φ^4 Theory in 4D

1998-08-27

arxiv.org/abs/hep-lat/9808044v1

Nucl.Phys.Proc.Suppl.73:766-768,1999

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE98(spin)

Scientific paper

10.1016/S0920-5632(99)85197-4

The one-component $\lambda\phi^4$ 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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