Bound states in the three dimensional phi^4 model

Abstract

We discuss the spectrum of the three dimensional phi^4 theory in the broken symmetry phase. In this phase the effective potential between the elementary quanta of the model is attractive and bound states of two or more of them may exist. We give theoretical and numerical evidence for the existence of these bound states. Looking in particular at the Ising model realization of the phi^4 theory we show, by using duality, that these bound states are in one-to-one correspondence with the glueball states of the gauge Ising model. We discuss some interesting consequences of this identification.

4 pages, 3 figures. Numerical value of the preexponential factor in the binding energy corrected, all other results and conclusions unchanged

References in corpus (4)

• SU(N) gauge theories in 2+1 dimensions
• The Spectrum of the 2+1 Dimensional Gauge Ising Model
• Non-perturbative states in the 3D phi^4 theory
• The dual sector of the ϕ^4 Theory in 4D

Cited by in corpus (12)

• A Cheap Alternative to the Lattice?
• Hamiltonian Truncation Study of the Phi^4 Theory in Two Dimensions II. The Z_2-Broken Phase and the Chang Duality
• SU(N) gauge theories in 2+1 dimensions -- further results
• Bound states and glueballs in three-dimensional Ising systems
• Bound states of the ${\varphi }^4$ model via the nonperturbative renormalization group
• Higgs and W boson spectrum from lattice simulations
• Bound states in Functional Renormalization Group
• Projective cluster-additive transformation for quantum lattice models
• Bound-state energy of the d=3 Ising model in the broken-symmetry phase: Suppressed finite-size corrections
• Universal critical behavior of the two-magnon-bound-state mass gap for the (2+1)-dimensional Ising model
• Determining wave equations in holographic QCD from Wilsonian renormalization group
• Bound states in the 3d Ising model and implications for QCD at finite temperature and density