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

Abstract

The one-component $\lambda {\varphi }^4$ 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.

LATTICE98(spin)

References in corpus (2)

• The Spectrum of the 2+1 Dimensional Gauge Ising Model
• A non-trivial spectrum for the trivial ϕ^4 theory

Cited by in corpus (2)

• Bound states in the three dimensional phi^4 model
• A connection between gravity and the Higgs field