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Epsilon-expansion in the N-component φ4 model

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dc.contributor.author Missarov M.
dc.contributor.author Stepanov R.
dc.date.accessioned 2018-09-18T20:32:01Z
dc.date.available 2018-09-18T20:32:01Z
dc.date.issued 2006
dc.identifier.issn 0040-5779
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/140863
dc.description.abstract The formalism of projection Hamiltonians is applied to the N-component O(N)-invariant φ4 model in the Euclidean and p-adic spaces. We use two versions of the ε-expansion (with ε = 4 - d and with ε = α - 3d/2, where α is the renormalization group parameter) and evaluate the critical indices ν and η up to the second order of the perturbation theory. The results for the (4- d)-expansion then coincide with the known results obtained via the quantum-field renormalization-group methods. Our calculations give evidence that in dimension three, both expansions describe the same non-Gaussian fixed point of the renormalization group. © 2006 Springer Science+Business Media, Inc.
dc.relation.ispartofseries Theoretical and Mathematical Physics
dc.subject ε-expansion
dc.subject Critical indices
dc.subject Euclidean models
dc.subject p-adic models
dc.subject Perturbation theory
dc.subject Renormalization group
dc.title Epsilon-expansion in the N-component φ4 model
dc.type Article
dc.relation.ispartofseries-issue 3
dc.relation.ispartofseries-volume 146
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 304
dc.source.id SCOPUS00405779-2006-146-3-SID33644927238


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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