Non perturbative spectrum of the $\phi^4$ theory in $d=3$.

Michele Caselle



Abstract

By using Montecarlo simulations it is possible to show that in the spectrum of the 3d $\phi^4$ theory there are states which do not appear in the standard perturbative analysis of the model. The same states also exist in the spectrum of the three dimensional Ising model which is in the same universality class as the $\phi^4$ theory. A dual transformation of the Ising model allows to identify the new states as elementary excitations of the dual Ising model.


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