Regularization just by quantization -- a new approach to the old problem of infinities in quantum field theory (Draft of lecture notes)
Mathematical Physics
2013-05-09 v2 High Energy Physics - Theory
math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.1209.3465,
title = {Regularization just by quantization -- a new approach to the old problem of infinities in quantum field theory (Draft of lecture notes)},
author = {Marek Czachor},
journal= {arXiv preprint arXiv:1209.3465},
year = {2013}
}
Comments
172 pages