Comment on ``Renormalization-group picture of the Lifshitz critical behavior''

Simple item page
dc.creatorDiehl, H. W.
dc.creatorShpot, M.
dc.date2003-05-07
dc.date.accessioned2026-07-07T02:51:13Z
dc.date.available2026-07-07T02:51:13Z
dc.descriptionWe show that the recent renormalization-group analysis of Lifshitz critical behavior presented by Leite [Phys. Rev. B {\bf 67}, 104415 (2003)] suffers from a number of severe deficiencies. In particular, we show that his approach does not give an ultraviolet finite renormalized theory, is plagued by inconsistencies, misses the existence of a nontrivial anisotropy exponent $θ\ne 1/2$, and therefore yields incorrect hyperscaling relations. His $ε$-expansion results to order $ε^2$ for the critical exponents of $m$-axial Lifshitz points are incorrect both in the anisotropic ($0<m<d$) and the isotropic cases ($m=d$). The inherent inconsistencies and the lack of a sound basis of the approach makes its results unacceptable even if they are interpreted in the sense of approximations.
dc.descriptionA comment on M. Leite, Phys Rev B 67, 104415 (2003) revtex4, 2 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0305131
dc.identifierhttp://arxiv.org/abs/cond-mat/0305131
dc.identifierPhys.Rev. BD68 (2003) 066401; Phys.Rev. B67 (2003) 104415
dc.identifierdoi:10.1103/PhysRevB.68.066401
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21370
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.subjectHigh Energy Physics - Theory
dc.titleComment on ``Renormalization-group picture of the Lifshitz critical behavior''
dc.typetext

Files

Collections

arXiv