Estimates on renormalization group transformations

D. Brydges; J. Dimock; T. R. Hurd

doi:10.4153/CJM-1998-041-5

Estimates on renormalization group transformations

D. Brydges
, J. Dimock
, T. R. Hurd

Mathematics

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We consider a specific realization of the renormalization group (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.

Original language	English
Pages (from-to)	756-793
Number of pages	38
Journal	Canadian Journal of Mathematics
Volume	50
Issue number	4
DOIs	https://doi.org/10.4153/CJM-1998-041-5
State	Published - Aug 1998

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title = "Estimates on renormalization group transformations",

abstract = "We consider a specific realization of the renormalization group (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.",

author = "D. Brydges and J. Dimock and Hurd, \{T. R.\}",

year = "1998",

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T1 - Estimates on renormalization group transformations

AU - Brydges, D.

AU - Dimock, J.

AU - Hurd, T. R.

PY - 1998/8

Y1 - 1998/8

N2 - We consider a specific realization of the renormalization group (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.

AB - We consider a specific realization of the renormalization group (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.

UR - https://www.scopus.com/pages/publications/0032381343

U2 - 10.4153/CJM-1998-041-5

DO - 10.4153/CJM-1998-041-5

M3 - Article

AN - SCOPUS:0032381343

SN - 0008-414X

VL - 50

SP - 756

EP - 793

JO - Canadian Journal of Mathematics

JF - Canadian Journal of Mathematics

IS - 4

ER -

Estimates on renormalization group transformations

Abstract

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