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Constructive field theory without tears

Presented by: 
J Magnen École Polytechnique
Friday 11th April 2008 - 10:15 to 11:00
INI Seminar Room 1

We present a preliminary result of a programme aiming at simplifying the basic arguments of constructive (i.e. non-perturbative) field theory. It expresses the pressure of the $\phi^{4}$ model with cut-offs as a convergent sum of terms associated to trees whose vertices are non-perturbative loops. We give also the expression for a correlation function.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons