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FIZIKA B 15 (2006) 3, 115-132
 
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 faster-than-light effects it suffices to appropriately
change only the free-field Lagrangians while retaining their locality in
space-time and Lorentz invariance. Using functions of two independent
four-vector variables, we base this finite theory on the path-integral formalism
in the four-dimensional space-time and the Lehmann-Symanzik-Zimmermann 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,
faster-than-light effects
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