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arxiv: hep-th/9709092 · v1 · submitted 1997-09-13 · ✦ hep-th · cond-mat

The O(N) Nonlinear Sigma Model in the Functional Schr\"{o}dinger Picture

classification ✦ hep-th cond-mat
keywords functionaldingermodelnonlinearpictureschrsigmabeen
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We present a functional Schr\"{o}dinger picture formalism of the (1+1)-dimensional $O(N) $ nonlinear sigma model. The energy density has been calculated to two-loop order using the wave functional of a gaussian form, and from which the nonperturbative mass gap of the boson fields has been obtained. The functional Schr\"{o}dinger picture approach combined with the variational technique is shownto describe the characteristics of the ground state of the nonlinear sigma model in a transparent way.

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