Analyticity properties of the weakly coupled double-well model |
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Authors: | K Klöckner B Ströter |
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Institution: | 1. Institut für Angewandte Mathematik, Johann Wolfgang Goethe-Universit?t, D-6000, Frankfurt am Main, Federal Republic of Germany
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Abstract: | In this note we study lattice Φ4-models with Hamiltonian $$H = \tfrac{1}{2}(\varphi , - \Delta \varphi ) + \lambda \Sigma \left( {\varphi _i^2 - \frac{{m^2 }}{{8\lambda }}} \right)^2$$ and Gaussian boundary conditions. Using the polymer expansion we obtain analyticity of the pressure and the correlation functions in the infinite volume limit in a region $$\left\{ {\left. \lambda \right| \left| \lambda \right|< \varepsilon ,\left| {arg } \right.\left. \lambda \right|< \frac{\pi }{2} - \delta } \right\}$$ for every δ>0. |
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