Five-loop renormalization-group expansions for two-dimensional Euclidean λϕ^4 theory

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dc.creatorOrlov, E. V.
dc.creatorSokolov, A. I.
dc.date2003-01-13
dc.date.accessioned2026-07-07T04:14:45Z
dc.date.available2026-07-07T04:14:45Z
dc.descriptionThe renormalization-group functions of the two-dimensional n-vector λϕ^4 model are calculated in the five-loop approximation. Perturbative series for the β-function and critical exponents are resummed by the Pade-Borel-Leroy techniques. An account for the five-loop term shifts the Wilson fixed point location only briefly, leaving it outside the segment formed by the results of the lattice calculations. This is argued to reflect the influence of the non-analytical contribution to the β-function. The evaluation of the critical exponents for n = 1, n = 0 and n = -1 in the five-loop approximation and comparison of the results with known exact values confirm the conclusion that non-analytical contributions are visible in two dimensions. For the 2D Ising model, the estimate ω= 1.31 for the correction-to-scaling exponent is found.
dc.descriptionLaTeX, 7 pages, 3 tables
dc.identifierhttps://arxiv.org/abs/hep-th/0301077
dc.identifierhttp://arxiv.org/abs/hep-th/0301077
dc.identifierProceedings of the XI International Seminar "Quarks-2000" (Pushkin, St.Petersburg, Russia, May 14-21, 2000), published by Institute for Nuclear Research, Moscow, 2002, pp.263-270
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51746
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.titleFive-loop renormalization-group expansions for two-dimensional Euclidean λϕ^4 theory
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