Some probabilistic techniques in field theory |
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| Authors: | G Benfatto M Cassandro G Gallavotti F Nicolò E Olivieri E Presutti E Scacciatelli |
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| Institution: | (1) Istituto di Matematica dell'Università dell'Aquila, I-00185 Roma, Italy;(2) Istituto di Matematica e di Fisica dell'Università di Roma, I-00185 Roma, Italy |
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| Abstract: | We study, in the context of the Markov hyerarchical fields (d=2, 3) the role of the Markov property, of formal renormalization and of formal positivity. We determine upper and lower bounds for the ground state energy and discuss their relation with the perturbation theory series.This work has been partially supported by I.N.F.N., G.N.F.M., and G.N.S.M. |
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