{ "id": "1502.07719", "version": "v1", "published": "2015-02-26T20:27:30.000Z", "updated": "2015-02-26T20:27:30.000Z", "title": "Rigorous solution of strongly coupled $SO(N)$ lattice gauge theory in the large $N$ limit", "authors": [ "Sourav Chatterjee" ], "comment": "59 pages", "categories": [ "math.PR", "hep-lat", "hep-th", "math-ph", "math.MP" ], "abstract": "The main result of this paper is a rigorous computation of Wilson loop expectations in strongly coupled $SO(N)$ lattice gauge theory in the large $N$ limit, in any dimension. The formula appears as an absolutely convergent sum over trajectories in a kind of string theory on the lattice, demonstrating an explicit gauge-string duality. The generality of the proof technique may allow it to be extended other gauge groups.", "revisions": [ { "version": "v1", "updated": "2015-02-26T20:27:30.000Z" } ], "analyses": { "subjects": [ "70S15", "81T13", "81T25", "82B20" ], "keywords": [ "lattice gauge theory", "rigorous solution", "wilson loop expectations", "main result" ], "note": { "typesetting": "TeX", "pages": 59, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1346518, "adsabs": "2015arXiv150207719C" } } }