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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Veröffentlicht in:arXiv.org
1. Verfasser: Altaisky, M V
Format: Paper
Sprache:Englisch
Veröffentlicht: Ithaca Cornell University Library, arXiv.org 14.12.2017
Schlagworte:
Continuous wavelet transform
Field theory
Quantum field theory
Quantum theory
Regularization
Variations
Wavelet transforms
ISSN:2331-8422
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Abstract 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.
AbstractList 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.
Author Altaisky, M V
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SubjectTerms Continuous wavelet transform
Field theory
Quantum field theory
Quantum theory
Regularization
Variations
Wavelet transforms
Title Wavelets and renormalization group in quantum field theory problems
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