dorsal/arxiv
View SchemaDiscrete Quantum Electrodynamics
| Authors | Charles Francis |
|---|---|
| Categories | |
| ArXiv ID | physics/0101062 |
| URL | https://arxiv.org/abs/physics/0101062 |
Abstract
The purpose of this paper is to construct a quantum field theory suitable for describing quantum electrodynamics and Yang-Mills theory in a form which satisfies the conditions of the Millennium prize offered by the Clay Mathematics Institute as described by Jaffe and Witten [12], by showing that it satisfies 'axioms at least as strong as those cited by' Wightman [18] and by Osterwalder and Schrader [14], and by observing that this form of field theory has no mass gap. The definitions provide a model for relativistic quantum mechanics which supports a form of relativistic quantum field theory, but which does not depend on the second quantisation of a 'matter wave'. Continuous laws of wave mechanics are found in model of discrete particle interactions which does not involve waves, or the quantisation of interacting fields. Newton's first law and conservation of momentum are established from the principle of homogeneity. Maxwell's equations are derived from the simple interaction in which a Dirac particle emits or absorbs a photon, showing that the renormalised mass and coupling constant are equal to their bare values. Feynman rules are calculated for the discrete theory and give the predictions of the standard renormalised theory. Quark confining interactions are described for qed and for an adaptation of Yang-Mills theory.
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"abstract": "The purpose of this paper is to construct a quantum field theory suitable for\ndescribing quantum electrodynamics and Yang-Mills theory in a form which\nsatisfies the conditions of the Millennium prize offered by the Clay\nMathematics Institute as described by Jaffe and Witten [12], by showing that it\nsatisfies \u0027axioms at least as strong as those cited by\u0027 Wightman [18] and by\nOsterwalder and Schrader [14], and by observing that this form of field theory\nhas no mass gap. The definitions provide a model for relativistic quantum\nmechanics which supports a form of relativistic quantum field theory, but which\ndoes not depend on the second quantisation of a \u0027matter wave\u0027. Continuous laws\nof wave mechanics are found in model of discrete particle interactions which\ndoes not involve waves, or the quantisation of interacting fields. Newton\u0027s\nfirst law and conservation of momentum are established from the principle of\nhomogeneity. Maxwell\u0027s equations are derived from the simple interaction in\nwhich a Dirac particle emits or absorbs a photon, showing that the renormalised\nmass and coupling constant are equal to their bare values. Feynman rules are\ncalculated for the discrete theory and give the predictions of the standard\nrenormalised theory. Quark confining interactions are described for qed and for\nan adaptation of Yang-Mills theory.",
"arxiv_id": "physics/0101062",
"authors": [
"Charles Francis"
],
"categories": [
"physics.gen-ph"
],
"title": "Discrete Quantum Electrodynamics",
"url": "https://arxiv.org/abs/physics/0101062"
},
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