Some probabilistic techniques in field theory

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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. © 1978 Springer-Verlag.

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Benfatto, G., Cassandro, M., Gallavotti, G., Nicolò, F., Olivieri, E., Presutti, E., & Scacciatelli, E. (1978). Some probabilistic techniques in field theory. Communications in Mathematical Physics, 59(2), 143–166. https://doi.org/10.1007/BF01614247

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