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

¹E-mail: [email protected]

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
UDC 530.145.7

Keywords: path-integral framework, finite alternative theories to quantum field theory, generalized the 't Hooft-Veltman method, self-interacting real scalar field, self-energy

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