Introduction To The Mathematics Of Renormalization Pdf

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Abstract

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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.

Keywords

Type: Research Article
Copyright: Copyright © Canadian Mathematical Society 1998

References

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Introduction To The Mathematics Of Renormalization Pdf

Source: https://www.cambridge.org/core/journals/canadian-journal-of-mathematics/article/estimates-on-renormalization-group-transformations/705D764B6C30BFE8383E5E897BC7742A

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