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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 174, Number 2, Pages 303–312
DOI: https://doi.org/10.4213/tmf8415 (Mi tmf8415) 		 
Functional Fourier transformation and renormalization group transformation in bosonic field theory models

M. D. Missarov

Kazan (Privolzhskii) Federal University, Kazan, Russia
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DOI: https://doi.org/10.4213/tmf8415
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.
Received: 27.09.2012
English version:
Theoretical and Mathematical Physics, 2013, Volume 174, Issue 2, Pages 263–272
DOI: https://doi.org/10.1007/s11232-013-0023-3
Bibliographic databases:
Document Type: Article
Language: Russian
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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