Dissipative scalar field theory via deformation quantization

Iliana Carrillo-Ibarra; Hugo García-Compeán; Francisco J. Turrubiates

doi:10.1142/S0217751X13500681

Dissipative scalar field theory via deformation quantization

Iliana Carrillo-Ibarra, Hugo García-Compeán, Francisco J. Turrubiates

Escuela Superior de Física y Matemáticas (ESFM)

Research output: Contribution to journal › Review article › peer-review

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. A 352, 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.

Original language	English
Article number	1350068
Journal	International Journal of Modern Physics A
Volume	28
Issue number	16
DOIs	https://doi.org/10.1142/S0217751X13500681
State	Published - 30 Jun 2013

Keywords

Deformation quantization
Wigner function
dissipative systems
field theory

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10.1142/S0217751X13500681

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title = "Dissipative scalar field theory via deformation quantization",

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. A 352, 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.",

keywords = "Deformation quantization, Wigner function, dissipative systems, field theory",

author = "Iliana Carrillo-Ibarra and Hugo Garc{\'i}a-Compe{\'a}n and Turrubiates, {Francisco J.}",

note = "Funding Information: The work of I. Carrillo-Ibarra is supported by La Secretar{\'i}a Acad{\'e}mica del Insti-tuto Polit{\'e}cnico Nacional M{\'e}xico under the program: Programa Institucional de A{\~n}o Sab{\'a}tico. The work of H. Gar{\'c}ıa-Compe{\'a}n and F. J. Turrubiates was partially supported by SNI-M{\'e}xico and by the CONACyT research grants: 128761 and 103478. In addition F. J. Turrubiates was partially supported by COFAA-IPN and by SIP-IPN grant 20121007. We are indebted to H{\'e}ctor Uriarte for all his help in the elaboration of the figures presented in the paper.",

year = "2013",

month = jun,

day = "30",

doi = "10.1142/S0217751X13500681",

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T1 - Dissipative scalar field theory via deformation quantization

AU - Carrillo-Ibarra, Iliana

AU - García-Compeán, Hugo

AU - Turrubiates, Francisco J.

N1 - Funding Information: The work of I. Carrillo-Ibarra is supported by La Secretaría Académica del Insti-tuto Politécnico Nacional México under the program: Programa Institucional de Año Sabático. The work of H. Garćıa-Compeán and F. J. Turrubiates was partially supported by SNI-México and by the CONACyT research grants: 128761 and 103478. In addition F. J. Turrubiates was partially supported by COFAA-IPN and by SIP-IPN grant 20121007. We are indebted to Héctor Uriarte for all his help in the elaboration of the figures presented in the paper.

PY - 2013/6/30

Y1 - 2013/6/30

N2 - 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. A 352, 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.

AB - 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. A 352, 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.

KW - Deformation quantization

KW - Wigner function

KW - dissipative systems

KW - field theory

UR - http://www.scopus.com/inward/record.url?scp=84879624998&partnerID=8YFLogxK

U2 - 10.1142/S0217751X13500681

DO - 10.1142/S0217751X13500681

M3 - Artículo de revisión

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SN - 0217-751X

VL - 28

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

IS - 16

M1 - 1350068

ER -

Dissipative scalar field theory via deformation quantization

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Keywords

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