{ "id": "quant-ph/9511031", "version": "v1", "published": "1995-11-21T21:53:39.000Z", "updated": "1995-11-21T21:53:39.000Z", "title": "Quantum Electrodynamics at Large Distances II: Nature of the Dominant Singularities", "authors": [ "Henry P. Stapp", "Takahiro Kawai" ], "comment": "40 pages, 11 encapsulated postscript figures, latexed, math_macros.tex can be found on Archive. full postscript available from http://theorl.lbl.gov/www/theorgroup/papers/35972.ps", "journal": "Phys.Rev. D52 (1995) 2505-2516", "doi": "10.1103/PhysRevD.52.2505", "categories": [ "quant-ph" ], "abstract": "Accurate calculations of macroscopic and mesoscopic properties in quantum electrodynamics require careful treatment of infrared divergences: standard treatments introduce spurious large-distances effects. A method for computing these properties was developed in a companion paper. That method depends upon a result obtained here about the nature of the singularities that produce the dominant large-distance behaviour. If all particles in a quantum field theory have non-zero mass then the Landau-Nakanishi diagrams give strong conditions on the singularities of the scattering functions. These conditions are severely weakened in quantum electrodynamics by effects of points where photon momenta vanish. A new kind of Landau-Nakanishi diagram is developed here. It is geared specifically to the pole-decomposition functions that dominate the macroscopic behaviour in quantum electrodynamics, and leads to strong results for these functions at points where photon momenta vanish.", "revisions": [ { "version": "v1", "updated": "1995-11-21T21:53:39.000Z" } ], "analyses": { "keywords": [ "quantum electrodynamics", "large distances", "dominant singularities", "photon momenta vanish", "landau-nakanishi diagram" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. D" }, "note": { "typesetting": "TeX", "pages": 40, "language": "en", "license": "arXiv", "status": "editable", "inspire": 378309 } } }