{ "id": "2204.07201", "version": "v1", "published": "2022-04-14T19:37:20.000Z", "updated": "2022-04-14T19:37:20.000Z", "title": "Stability for QED in d=3: an overview", "authors": [ "J. Dimock" ], "comment": "16 pages, to appear in proceedings ICMP 2021", "categories": [ "math-ph", "math.MP" ], "abstract": "We report on a result on quantum electrodynamics on a three dimensional Euclidean spacetime. The model is formulated on a toroidal lattice with unit volume and variable lattice spacing. The result is that the renormalized partition function is bounded above and below uniformly in the lattice spacing. This is a first step toward showing that the partition function and correlation functions have limits as the lattice spacing goes to zero.", "revisions": [ { "version": "v1", "updated": "2022-04-14T19:37:20.000Z" } ], "analyses": { "subjects": [ "81T08", "81T13", "81T17", "81T25" ], "keywords": [ "lattice spacing", "dimensional euclidean spacetime", "toroidal lattice", "quantum electrodynamics", "unit volume" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }