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arXiv · 1209.3465

Regularization just by quantization -- a new approach to the old problem of infinities in quantum field theory (Draft of lecture notes)

Marek Czachor
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Abstract

This is the current form of lecture notes on my approach to field quantization. I explain on a simple scalar-field model the physical motivation and show some preliminary applications (field produced by a pointlike charge, the vacuum-to-vacuum loop diagram, the Casimir presure). The approach is based on an appropriate construction of a representation of harmonic-oscillator Lie algebra and a sequential definition of Dirac deltas.

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Marek Czachor. 2012-09-16. Regularization just by quantization -- a new approach to the old problem of infinities in quantum field theory (Draft of lecture notes). https://arxiv.org/abs/1209.3465

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