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Titlebook: Constructive Physics; Results in Field The Vincent Rivasseau Conference proceedings 1995 Springer-Verlag Berlin Heidelberg 1995 Cluster Exp

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In Search of the Uncanny ValleyWe consider the one-dimensional Gross-Neveu model and, for a large number . of flavor components, prove the fermion develops a mass dynamically without breakdown of the discrete chiral symmetry.
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S. Alloussi,S.H. Alloussi,C. HampelRecent progress on the self-avoiding walk on a four dimensional hypercubic lattice is presented. Methods for determining the long-time behavior of such walks by studying the Green‘s function are described.
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https://doi.org/10.1007/978-3-642-13363-3The critical properties of weakly self avoiding random walks in four dimension are established by applying the renormalization group method to polymer chains in a random imaginary potential.
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Trees, forests and jungles: A botanical garden for cluster expansions,Combinatoric formulas for cluster expansions have been improved many times over the years. Here we develop some new combinatoric proofs and extensions of the tree formulas of Brydges and Kennedy, and test them on a series of pedagogical examples.
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Weak perturbations of the massless Gaussian measure,This is a summary of some ideas and estimates that simplify the analysis of scaling limits of infinite volume limits of measures of the form ., where . is a Gaussian measure with long range correlations.
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Construction of the gross-neveu model in dimension 3,We review the construction of a non-renormalizable field theory, the Gross-Neveu model in three Euclidean dimensions with many components.
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Mass generation in the large N Gross-Neveu model,(Joint work with Jacques Magnen and Vincent Rivasseau, Ecole Polytechnique)
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