DISSIPATIVE SCALAR FIELD THEORY VIA DEFORMATION QUANTIZATION

Author:

CARRILLO-IBARRA ILIANA1,GARCÍA-COMPEÁN HUGO2,TURRUBIATES FRANCISCO J.3

Affiliation:

1. Unidad Profesional Interdisciplinaria en Ingeniería y Tecnologías Avanzadas del IPN, Av. IPN 2580, Col. Barrio La Laguna Ticomán, CP. 07340, México D.F., México

2. Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN, P.O. Box 14-740, CP. 07000, México D.F., México

3. Departamento de Física, Escuela Superior de Física y Matemáticas del IPN, Unidad Adolfo López Mateos, Edificio 9, 07738, México D.F., México

Abstract

The dissipative scalar field theory by means of the deformation quantization formalism is studied. Following the ideas presented by G. Dito and F. J. Turrubiates [Phys. Lett. A352, 309 (2006)] for quantum mechanics, a star product which contains the dissipative effect for the damped oscillation modes of the field is constructed. Employing this approach the expectation values of some observables in the quantum mechanical case as well as certain correlation functions for the field case are obtained under a particular dissipative process.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

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