Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-07-09
Physics
High Energy Physics
High Energy Physics - Theory
Talk presented at the International Seminar "Quarks-98", Suzdal, Russia, May 17-24, 1998, 12 pages in LaTeX, 1 postscript figu
Scientific paper
The Hamiltonian approach to the quantum field theory is considered. Since there are additional difficulties such as the Haag theorem and Stueckelberg divergences, renormalization of the time-dependent dynamical quantum field theory is much more complicated than renormalization of the S-matrix. It is necessary to consider the regularized theory with ultraviolet and infrared cutoffs and impose the conditions not only on the dependence of the Hamiltonian on the cutoffs (as usual) but also on the dependence of the initial states. It happens that one should consider the initial states to be singulary dependent on the cutoffs in order to avoid the Stueckelberg divergences. Different types of semiclassical approximations to quantum theory are discussed. It happens that the method of quantizing classical solutions to field equations corresponds not to the WKB-approach but to the complex-WKB theory. The problem of imposing conditions on the semiclassical initial states is discussed. Different prescriptions for choice of initial conditions are analysed.
Maslov Victor P.
Shvedov Oleg Yu.
No associations
LandOfFree
Renormalization of the Semiclassical Hamiltonian Field Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Renormalization of the Semiclassical Hamiltonian Field Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Renormalization of the Semiclassical Hamiltonian Field Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-492447