FRAMEWORK FOR FINITE ALTERNATIVE THEORIES TO A QUANTUM FIELD THEORY

The proposed framework is intended to faciliate the search for Lagrangian-based regularizations that introduce only such coe±cients which are not regarded as for-mal auxiliary parameters that will eventually be disposed of during renormalization. Using the path-integral formalism, we put forward a new framework for such ¯nite, alternative quantum theories to a given quantum ¯eld 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 ¯eld theory with the Á4 interaction. PACS numbers: 11.90.+t UDC 530.145.