FIZIKA B 12 (2003) 4, 275 - 284
FRAMEWORK FOR FINITE ALTERNATIVE THEORIES TO A QUANTUM FIELD THEORY.
II - UNITARITY
MARIJAN RIBARIČ and LUKA ŠUŠTERŠIČ1
Jozef Stefan Institute, p.p. 3000, 1001 Ljubljana, Slovenia
Received 24 October 2003; Accepted 15 December 2003
Online 19 April 2004
We generalized the 't Hooft-Veltman method of unitary regulators to put forward a
path-integral framework for finite, alternative theories to a given quantum field theory.
We demonstrated that the proposed framework is feasible by providing a finite alternative
to the quantum field theory of a single, self-interacting real scalar field. Here we give
two properties of self-energy that make the corresponding scattering matrix unitary. We
show that the perturbative self-energy has these two properties at least up to the second
order in the coupling constant.
PACS number: 11.90.+t
Keywords: path-integral framework, finite alternative theories to quantum field
theory, generalized the 't Hooft-Veltman method, self-interacting real scalar field,