dorsal/arxiv
View SchemaQuantum Electrodynamics at Large Distances II: Nature of the Dominant Singularities
| Authors | Henry P. Stapp, Takahiro Kawai |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9511031 |
| URL | https://arxiv.org/abs/quant-ph/9511031 |
| DOI | 10.1103/PhysRevD.52.2505 |
| Journal | Phys.Rev. D52 (1995) 2505-2516 |
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.
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"abstract": "Accurate calculations of macroscopic and mesoscopic properties in quantum\nelectrodynamics require careful treatment of infrared divergences: standard\ntreatments introduce spurious large-distances effects. A method for computing\nthese properties was developed in a companion paper. That method depends upon a\nresult obtained here about the nature of the singularities that produce the\ndominant large-distance behaviour. If all particles in a quantum field theory\nhave non-zero mass then the Landau-Nakanishi diagrams give strong conditions on\nthe singularities of the scattering functions. These conditions are severely\nweakened in quantum electrodynamics by effects of points where photon momenta\nvanish. A new kind of Landau-Nakanishi diagram is developed here. It is geared\nspecifically to the pole-decomposition functions that dominate the macroscopic\nbehaviour in quantum electrodynamics, and leads to strong results for these\nfunctions at points where photon momenta vanish.",
"arxiv_id": "quant-ph/9511031",
"authors": [
"Henry P. Stapp",
"Takahiro Kawai"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevD.52.2505",
"journal_ref": "Phys.Rev. D52 (1995) 2505-2516",
"title": "Quantum Electrodynamics at Large Distances II: Nature of the Dominant Singularities",
"url": "https://arxiv.org/abs/quant-ph/9511031"
},
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