The O(N) Nonlinear Sigma Model in the Functional Schrödinger Picture

Details The O(N) Nonlinear Sigma Model in the Functional Schrödinger Picture The O(N) Nonlinear Sigma Model in the Functional Schrödinger Picture

1997-09-13

arxiv.org/abs/hep-th/9709092v1

J.Phys.A31:6029-6036,1998

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, no figures, Latex file

Scientific paper

10.1088/0305-4470/31/28/016

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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