Zeros of the partition function and Gaussian inequalities for the plane rotator model |
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Authors: | François Dunlop |
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Affiliation: | (1) Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France |
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Abstract: | The partition function for ferromagnetic plane rotators in a complex external field , with ¦Im ¦ ¦Re ¦, is bounded below in modulus by its value at =0. The proof is based on complex combinations of duplicated variables which are positive definite on a subgroup of the configuration group. In the isotropic situation (and =0), the associated Gaussian inequalities imply that all truncated correlation functions decay at least as the two-point function. |
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Keywords: | Plane rotators Lee-Yang zeros Gaussian inequalities |
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