A novel variational approach for Quantum Field Theory: example of study of the ground state and phase transition in Nonlinear Sigma Model

Physics – Quantum Physics

Scientific paper

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talk presented at DPF2004 meeting in Riverside, CA; to appear in a supplement in International Journal of Modern Physics A

Scientific paper

10.1142/S0217751X05026819

We discuss a novel form of the variational approach in Quantum Field Theory in which the trial quantum configuration is represented directly in terms of relevant expectation values rather than, e.g., increasingly complicated structure from Fock space. The quantum algebra imposes constraints on such expectation values so that the variational problem is formulated here as an optimization under constraints. As an example of application of such approach we consider the study of ground state and critical properties in a variant of nonlinear sigma model.

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