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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.

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Authors and Affiliations

  1. Istituto di Matematica dell'Università dell'Aquila, I-00185, Roma, Italy

    G. Benfatto, M. Cassandro, G. Gallavotti, F. Nicolò, E. Olivieri, E. Presutti & E. Scacciatelli

  2. Istituto di Matematica e di Fisica dell'Università di Roma, I-00185, Roma, Italy

    G. Benfatto, M. Cassandro, G. Gallavotti, F. Nicolò, E. Olivieri, E. Presutti & E. Scacciatelli

Authors
  1. G. Benfatto
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  2. M. Cassandro
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  3. G. Gallavotti
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  4. F. Nicolò
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  5. E. Olivieri
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  6. E. Presutti
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  7. E. Scacciatelli
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Additional information

Communicated by A. Jaffe

This work has been partially supported by I.N.F.N., G.N.F.M., and G.N.S.M.

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Benfatto, G., Cassandro, M., Gallavotti, G. et al. Some probabilistic techniques in field theory. Commun.Math. Phys. 59, 143–166 (1978). https://doi.org/10.1007/BF01614247

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  • DOI: https://doi.org/10.1007/BF01614247

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