{ "id": "cond-mat/0108253", "version": "v1", "published": "2001-08-15T17:05:22.000Z", "updated": "2001-08-15T17:05:22.000Z", "title": "Anisotropic Lifshitz Point at $O(ε_L^2)$", "authors": [ "Luiz C. de Albuquerque", "Marcelo M. Leite" ], "comment": "10 pages, Revtex", "journal": "J.Phys. A34 (2001) L327-332", "doi": "10.1088/0305-4470/34/22/102", "categories": [ "cond-mat.stat-mech", "hep-th" ], "abstract": "We present the critical exponents $\\nu_{L2}$, $\\eta_{L2}$ and $\\gamma_{L}$ for an $m$-axial Lifshitz point at second order in an $\\epsilon_{L}$ expansion. We introduced a constraint involving the loop momenta along the $m$-dimensional subspace in order to perform two- and three-loop integrals. The results are valid in the range $0 \\leq m < d$. The case $m=0$ corresponds to the usual Ising-like critical behavior.", "revisions": [ { "version": "v1", "updated": "2001-08-15T17:05:22.000Z" } ], "analyses": { "keywords": [ "anisotropic lifshitz point", "axial lifshitz point", "loop momenta", "usual ising-like critical behavior", "dimensional subspace" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Physics A Mathematical General", "year": 2001, "month": "Jun", "volume": 34, "number": 22 }, "note": { "typesetting": "RevTeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "inspire": 562380, "adsabs": "2001JPhA...34L.327D" } } }