This is a concise discussion of a proof of n! bounds on the renormalized series for phi-4 scalar theoriy in 4 dimensions. The analysis is via the renormalizations group and the beta function. As a corollary one obtains the convergence of the planar theory in its expansion in terms of the running coupling constants and its Borel summability inb terms of the renormalized copulings.
The beta function method for resummations in field theory / Gallavotti, Giovanni. - STAMPA. - B 234(1991), pp. 69-88.
The beta function method for resummations in field theory
GALLAVOTTI, Giovanni
1991
Abstract
This is a concise discussion of a proof of n! bounds on the renormalized series for phi-4 scalar theoriy in 4 dimensions. The analysis is via the renormalizations group and the beta function. As a corollary one obtains the convergence of the planar theory in its expansion in terms of the running coupling constants and its Borel summability inb terms of the renormalized copulings.File allegati a questo prodotto
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