Geodesic
Estimates on Renormalization Group Transformations
Canadian journal of mathematics, Tome 50 (1998) no. 4, pp. 756-793

Voir la notice de l'article provenant de la source Cambridge University Press

We consider a specific realization of the renormalization group $(\text{RG})$ transformation acting on functional measures for scalar quantum fields which are expressible as a polymer expansion times an ultra-violet cutoff Gaussian measure. The new and improved definitions and estimates we present are sufficiently general and powerful to allow iteration of the transformation, hence the analysis of complete renormalization group flows, and hence the construction of a variety of scalar quantum field theories.
DOI : 10.4153/CJM-1998-041-5
Mots-clés : 81T08, 81T17 
Brydges, D.; Dimock, J.; Hurd, T. R. Estimates on Renormalization Group Transformations. Canadian journal of mathematics, Tome 50 (1998) no. 4, pp. 756-793. doi: 10.4153/CJM-1998-041-5
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