Non-perturbative states in the 3D phi^4 theory

Details Non-perturbative states in the 3D phi^4 theory Non-perturbative states in the 3D phi^4 theory

1999-03-05

arxiv.org/abs/hep-lat/9903011v1

Nucl.Phys. B556 (1999) 575-600

Physics

High Energy Physics

High Energy Physics - Lattice

43 pages, LaTeX with 9 eps figures included, uses axodraw.sty

Scientific paper

10.1016/S0550-3213(99)00333-8

We show that the spectrum of the three dimensional phi^4 theory in the broken symmetry phase contains non-perturbative states. We determine the spectrum using a new variational technique based on the introduction of operators corresponding to different length scales. The presence of non-perturbative states accounts for the discrepancy between Monte Carlo and perturbative results for the universal ratio xi/xi_2nd. We introduce and study some universal amplitude ratios related to the overlap of the spin operator with the states of the spectrum. The analysis is performed for the phi^4 theory regularized on a lattice and for the Ising model. This is a nice verification of the fact that universality reaches far beyond critical exponents. Finally, we show that the spectrum of the model, including non-perturbative states, accurately matches the glueball spectrum in the Z(2) gauge model, which is related to the Ising model through a duality transformation.

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