2017/10/23 by Lev Sakhnovich, Sakhnovich, Lev
Mathematics · Physics and Astronomy · #34L25 #81Q05 #81Q30 #81T15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #math-ph #math.CA #math.MP #msc:34L25 #msc:81Q05 #msc:81Q30 #msc:81T15 #quant-ph
paper · pdf · doi:10.48550/arxiv.1710.08363
This version of the paper contains a more detailed and clear presentation. Some small misprints are removed. The results present essential changes and further development of our "generalized wave operators" approach to infrared divergencies from arXiv:1606.06759 and arXiv:1602.07087. Here, we consider also (separately) the case of ultraviolet divergences and new examples in Section 5
arxiv created 2019/03/04 · arxiv updated 2019/03/05
We consider the divergences in quantum electrodynamics. Our approach is based on ideas from the theory of generalized wave operators. In particular, we use the concept of the deviation factor. The deviation factor characterizes the deviations of the initial and final waves from the free waves. The approach is demonstrated on important examples.