Wavelets and renormalization group in quantum field theory problems

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 ${\varphi }^4$ model are reproduced. The fixed points of the scale-dependent theory are studied in one loop approximation.

10 pages, revtex, 3 eps figures; Talk at SYMPHYS XVII, Yerevan, Armenia, July, 2017

References in corpus (1)

• Unifying renormalization group and the continuous wavelet transform

Cited by in corpus (7)

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• Entanglement in quantum field theory via wavelet representations
• Renormalization in Wavelet basis
• Hamiltonian Flow Equations in Daubechies Wavelet Basis
• Scale limited fields and the Casimir effect
• Hamiltonian formulation of the $1+1$-dimensional ${\varphi }^4$ theory in a momentum-space Daubechies wavelet basis
• An efficient Wavelet-Based Hamiltonian Formulation of Quantum Field Theories using Flow-Equations