Wavelets and renormalization group in quantum field theory problems

Using continuous wavelet transform it is possible to construct a regularization procedure for scale-dependent quantum field theory models, which is complementary to functional renormalization group method in the sense that it sums up the fluctuations of larger scales in order to get the effective ac...

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Bibliographic Details
Published in:	arXiv.org
Main Author:	Altaisky, M V
Format:	Paper
Language:	English
Published:	Ithaca Cornell University Library, arXiv.org 14.12.2017
Subjects:	Continuous wavelet transform Field theory Quantum field theory Quantum theory Regularization Variations Wavelet transforms
ISSN:	2331-8422
Online Access:	Get full text
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Summary:	Using continuous wavelet transform it is possible to construct a regularization procedure for scale-dependent quantum field theory models, which is complementary to functional renormalization group method in the sense that it sums up the fluctuations of larger scales in order to get the effective action at small observation scale (M.V.Altaisky, Phys. Rev. D93(2016) 105043. The standard RG results for \(\phi^4\) model are reproduced. The fixed points of the scale-dependent theory are studied in one loop approximation.
Bibliography:	SourceType-Working Papers-1 ObjectType-Working Paper/Pre-Print-1 content type line 50
ISSN:	2331-8422
DOI:	10.48550/arxiv.1712.05402