Hydrodynamic transport functions from quantum kinetic field theory

Starting from the quantum kinetic field theory [E. Calzetta and B. L. Hu, Phys. Rev. D 37, 2878 (1988)] constructed from the closed-time-path (CTP), two-particle-irreducible (2PI) effective action we show how to compute from first principles the shear and bulk viscosity functions in the hydrodynamic...

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Autores principales: Calzetta, E.A., Ramsey, S.A.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15507998_v61_n12_p_Calzetta
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spelling todo:paper_15507998_v61_n12_p_Calzetta2023-10-03T16:23:42Z Hydrodynamic transport functions from quantum kinetic field theory Calzetta, E.A. Ramsey, S.A. Starting from the quantum kinetic field theory [E. Calzetta and B. L. Hu, Phys. Rev. D 37, 2878 (1988)] constructed from the closed-time-path (CTP), two-particle-irreducible (2PI) effective action we show how to compute from first principles the shear and bulk viscosity functions in the hydrodynamic-thermodynamic regime. For a real scalar field with (Formula presented) self-interaction we need to include four-loop graphs in the equation of motion. This work provides a microscopic field-theoretical basis to the “effective kinetic theory” proposed by Jeon and Yaffe [S. Jeon and L. G. Yaffe, Phys. Rev. D 53, 5799 (1996)], while our result for the bulk viscosity reproduces their expression derived from linear-response theory and the imaginary-time formalism of thermal field theory. Though unavoidably involved in calculations of this sort, we feel that the approach using fundamental quantum kinetic field theory is conceptually clearer and methodically simpler than the effective kinetic theory approach, as the success of the latter requires a clever rendition of diagrammatic resummations which is neither straightforward nor fail-safe. Moreover, the method based on the CTP-2PI effective action illustrated here for a scalar field can be formulated entirely in terms of functional integral quantization, which makes it an appealing method for a first-principles calculation of transport functions of a thermal non-Abelian gauge theory, e.g., QCD quark-gluon plasma produced from heavy ion collisions. © 2000 The American Physical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15507998_v61_n12_p_Calzetta
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description Starting from the quantum kinetic field theory [E. Calzetta and B. L. Hu, Phys. Rev. D 37, 2878 (1988)] constructed from the closed-time-path (CTP), two-particle-irreducible (2PI) effective action we show how to compute from first principles the shear and bulk viscosity functions in the hydrodynamic-thermodynamic regime. For a real scalar field with (Formula presented) self-interaction we need to include four-loop graphs in the equation of motion. This work provides a microscopic field-theoretical basis to the “effective kinetic theory” proposed by Jeon and Yaffe [S. Jeon and L. G. Yaffe, Phys. Rev. D 53, 5799 (1996)], while our result for the bulk viscosity reproduces their expression derived from linear-response theory and the imaginary-time formalism of thermal field theory. Though unavoidably involved in calculations of this sort, we feel that the approach using fundamental quantum kinetic field theory is conceptually clearer and methodically simpler than the effective kinetic theory approach, as the success of the latter requires a clever rendition of diagrammatic resummations which is neither straightforward nor fail-safe. Moreover, the method based on the CTP-2PI effective action illustrated here for a scalar field can be formulated entirely in terms of functional integral quantization, which makes it an appealing method for a first-principles calculation of transport functions of a thermal non-Abelian gauge theory, e.g., QCD quark-gluon plasma produced from heavy ion collisions. © 2000 The American Physical Society.
format JOUR
author Calzetta, E.A.
Ramsey, S.A.
spellingShingle Calzetta, E.A.
Ramsey, S.A.
Hydrodynamic transport functions from quantum kinetic field theory
author_facet Calzetta, E.A.
Ramsey, S.A.
author_sort Calzetta, E.A.
title Hydrodynamic transport functions from quantum kinetic field theory
title_short Hydrodynamic transport functions from quantum kinetic field theory
title_full Hydrodynamic transport functions from quantum kinetic field theory
title_fullStr Hydrodynamic transport functions from quantum kinetic field theory
title_full_unstemmed Hydrodynamic transport functions from quantum kinetic field theory
title_sort hydrodynamic transport functions from quantum kinetic field theory
url http://hdl.handle.net/20.500.12110/paper_15507998_v61_n12_p_Calzetta
work_keys_str_mv AT calzettaea hydrodynamictransportfunctionsfromquantumkineticfieldtheory
AT ramseysa hydrodynamictransportfunctionsfromquantumkineticfieldtheory
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