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TMF, 2013, Volume 174, Number 2, Pages 303–312 (Mi tmf8415)  

Functional Fourier transformation and renormalization group transformation in bosonic field theory models

M. D. Missarov

Kazan (Privolzhskii) Federal University, Kazan, Russia

Abstract: We introduce the notion of a functional Fourier transformation in bosonic $p$-adic and Euclidean models of statistical physics. We prove a commutation relation between the Fourier transformation and the Wilson renormalization group transformation and discuss the similarity of renormalization group formalisms in $p$-adic and Euclidean models.

Keywords: bosonic model, renormalization group, Fourier transformation, hierarchical lattice, $p$-adic model, Euclidean model

DOI: https://doi.org/10.4213/tmf8415

Full text: PDF file (382 kB)
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English version:
Theoretical and Mathematical Physics, 2013, 174:2, 263–272

Bibliographic databases:

Document Type: Article
Received: 27.09.2012

Citation: M. D. Missarov, “Functional Fourier transformation and renormalization group transformation in bosonic field theory models”, TMF, 174:2 (2013), 303–312; Theoret. and Math. Phys., 174:2 (2013), 263–272

Citation in format AMSBIB
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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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