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Constructive field theory without tears

Magnen, J (Ecole Polytechnique)
Friday 11 April 2008, 10:15-11:00

Seminar Room 1, Newton Institute


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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