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THE OBSERVABLE-STATE MODEL AND NONRENORMALIZABLE THEORIES

JUAN SEBASTIÁN ARDENGHI

IFISUR, Departamento de Física (UNS-CONICET) Avenida Alem 1253, Bahía Blanca, Buenos Aires, Argentina

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ALFREDO JUAN

IFISUR, Departamento de Física (UNS-CONICET) Avenida Alem 1253, Bahía Blanca, Buenos Aires, Argentina

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, and

MARIO CASTAGNINO

Institutos de Física de Rosario y de Astronomía y Física del Espacio, Casilla de Correos 67, Sucursal 28, 1428 Buenos Aires, Argentina

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https://doi.org/10.1142/S0217751X13500164Cited by:2 (Source: Crossref)

Abstract

The aim of this work is to apply the observable-state model for the quantum field theory of a ϕⁿ self-interaction. We show how to obtain finite values for the two-point and n-point correlation functions without introducing counterterms in the Lagrangian. Also, we show how to obtain the renormalization group equation for the mass and the coupling constant. Finally, we find the dependence of the coupling constant with the energy scale and we discuss the validity of the observable-state model in terms of the projection procedure.

Keywords:

PACS: 11.10.Gh, 11.10.Hi, 11.15.Bt

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