FIZIKA B 11 (2002)  4, 161-174

FRAMEWORK FOR FINITE ALTERNATIVE THEORIES TO A QUANTUM FIELD THEORY

MARIJAN RIBARIČ and LUKA ŠUŠTERŠIĆ

Jožef Stefan Institute, p. p. 3000, 1001 Ljubljana, Slovenia

Received 10 August 2002  Accepted 16 December 2002
Online 7 February 2003

The proposed framework is intended to faciliate the search for Lagrangian-based regularizations that introduce only such coefficients which are not regarded as formal auxiliary parameters that will eventually be disposed of during renormalization. Using the path-integral formalism, we put forward a new framework for such finite, alternative quantum theories to a given quantum field theory that have no formal auxiliary parameters. The corresponding alternative, perturbative Green functions are acceptably regularized perturbative expansions of the original Green functions, causal and imply no unphysical free particles. To demonstrate that the proposed framework is feasible, we provide an alternative to the quantum field theory with the f⁴ interaction.

PACS numbers: 11.90.+t
UDC 530.145.7

Keywords: finite quantum theory, realistic regularization

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