{ "id": "cond-mat/0101060", "version": "v2", "published": "2001-01-05T10:14:26.000Z", "updated": "2001-06-28T15:05:18.000Z", "title": "An alternative field theory for the Kosterlitz-Thouless transition", "authors": [ "Georg Foltin" ], "comment": "final version, extended discussion, appendix added, 8 pages, no figure, uses IOP documentclass iopart", "journal": "J.Phys.A34:5327-5333,2001", "doi": "10.1088/0305-4470/34/26/303", "categories": [ "cond-mat.stat-mech" ], "abstract": "We extend a Gaussian model for the internal electrical potential of a two-dimensional Coulomb gas by a non-Gaussian measure term, which singles out the physically relevant configurations of the potential. The resulting Hamiltonian, expressed as a functional of the internal potential, has a surprising large-scale limit: The additional term simply counts the number of maxima and minima of the potential. The model allows for a transparent derivation of the divergence of the correlation length upon lowering the temperature down to the Kosterlitz-Thouless transition point.", "revisions": [ { "version": "v2", "updated": "2001-06-28T15:05:18.000Z" } ], "analyses": { "keywords": [ "alternative field theory", "kosterlitz-thouless transition", "two-dimensional coulomb gas", "non-gaussian measure term", "additional term simply counts" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "inspire": 560672 } } }