Geodesic
Functional Fourier transformation and renormalization group transformation in bosonic field theory models
Teoretičeskaâ i matematičeskaâ fizika, Tome 174 (2013) no. 2, pp. 303-312

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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. 
@article{TMF_2013_174_2_a9,
     author = {M. D. Missarov},
     title = {Functional {Fourier} transformation and renormalization group transformation in bosonic field theory models},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {303--312},
     publisher = {mathdoc},
     volume = {174},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2013_174_2_a9/}
}
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M. D. Missarov. Functional Fourier transformation and renormalization group transformation in bosonic field theory models. Teoretičeskaâ i matematičeskaâ fizika, Tome 174 (2013) no. 2, pp. 303-312. http://geodesic.mathdoc.fr/item/TMF_2013_174_2_a9/