FIZIKA B 15 (2006) 3, 115132
TWO BASIC PROBLEMS POSED BY QUANTUM SCATTERING OF FUNDAMENTAL PARTICLES
MARIJAN RIBARIČ and LUKA ŠUŠTERŠIČ
Jožef Stefan Institute, p.p. 3000, 1001 Ljubljana, Slovenia
Received 11 November 2004; Accepted 29 December 2006
Online 23 February 2007
We put forward a finite theory of quantum scattering of fundamental particles
without using auxiliary particles. It suggests that to avoid ultraviolet
divergencies and model fasterthanlight effects it suffices to appropriately
change only the freefield Lagrangians while retaining their locality in
spacetime and Lorentz invariance. Using functions of two independent
fourvector variables, we base this finite theory on the pathintegral formalism
in the fourdimensional spacetime and the LehmannSymanzikZimmermann reduction
formula.
PACS numbers: 11.90.+t, 11.55.DS, 12.60.i, 03.65.Ud, 05.60.k
UDC 530.145, 530.12
Keywords: quantum scattering, quantum field theory, regularization,
fasterthanlight effects
