 
FIZIKA B 12 (2003) 4, 275  284
FRAMEWORK FOR FINITE ALTERNATIVE THEORIES TO A QUANTUM FIELD THEORY.
II  UNITARITY
MARIJAN RIBARIČ and LUKA ŠUŠTERŠIČ^{1}
Jozef Stefan Institute, p.p. 3000, 1001 Ljubljana, Slovenia
^{1}Email: luka.sustersic@ijs.si
Received 24 October 2003; Accepted 15 December 2003
Online 19 April 2004
We generalized the 't HooftVeltman method of unitary regulators to put forward a
pathintegral 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, selfinteracting real scalar field. Here we give
two properties of selfenergy that make the corresponding scattering matrix unitary. We
show that the perturbative selfenergy has these two properties at least up to the second
order in the coupling constant.
PACS number: 11.90.+t
UDC 530.145.7
Keywords: pathintegral framework, finite alternative theories to quantum field
theory, generalized the 't HooftVeltman method, selfinteracting real scalar field,
selfenergy
