Quantum electrodynamics of inhomogeneous anisotropic media

In this work we calculate the closed time path generating functional for the electromagnetic (EM) field interacting with inhomogeneous anisotropic matter. For this purpose, we first find a general expression for the electromagnetic field’s influence action from the interaction of the field with a co...

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Autores principales: López, A.E.R., Lombardo, F.C.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_14346044_v75_n2_p_Lopez
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_14346044_v75_n2_p_Lopez2023-10-03T16:15:03Z Quantum electrodynamics of inhomogeneous anisotropic media López, A.E.R. Lombardo, F.C. In this work we calculate the closed time path generating functional for the electromagnetic (EM) field interacting with inhomogeneous anisotropic matter. For this purpose, we first find a general expression for the electromagnetic field’s influence action from the interaction of the field with a composite environment consisting in the quantum polarization degrees of freedom in each point of space, at arbitrary temperatures, connected to thermal baths. Then we evaluate the generating functional for the gauge field, in the temporal gauge, by implementing the Faddeev–Popov procedure. Finally, through the point-splitting technique, we calculate closed expressions for the energy, the Poynting vector, and the Maxwell tensor in terms of the Hadamard propagator. We show that all the quantities have contributions from the field’s initial conditions and also from the matter degrees of freedom. Throughout the whole work we discuss how the gauge invariance must be treated in the formalism when the EM-field is interacting with inhomogeneous anisotropic matter. We study the electrodynamics in the temporal gauge, obtaining the EM-field’s equation and a residual condition. Finally we analyze the case of the EM-field in bulk material and also discuss several general implications of our results in relation with the Casimir physics in a non-equilibrium scenario. © 2015, The Author(s). Fil:Lombardo, F.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_14346044_v75_n2_p_Lopez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description In this work we calculate the closed time path generating functional for the electromagnetic (EM) field interacting with inhomogeneous anisotropic matter. For this purpose, we first find a general expression for the electromagnetic field’s influence action from the interaction of the field with a composite environment consisting in the quantum polarization degrees of freedom in each point of space, at arbitrary temperatures, connected to thermal baths. Then we evaluate the generating functional for the gauge field, in the temporal gauge, by implementing the Faddeev–Popov procedure. Finally, through the point-splitting technique, we calculate closed expressions for the energy, the Poynting vector, and the Maxwell tensor in terms of the Hadamard propagator. We show that all the quantities have contributions from the field’s initial conditions and also from the matter degrees of freedom. Throughout the whole work we discuss how the gauge invariance must be treated in the formalism when the EM-field is interacting with inhomogeneous anisotropic matter. We study the electrodynamics in the temporal gauge, obtaining the EM-field’s equation and a residual condition. Finally we analyze the case of the EM-field in bulk material and also discuss several general implications of our results in relation with the Casimir physics in a non-equilibrium scenario. © 2015, The Author(s).
format JOUR
author López, A.E.R.
Lombardo, F.C.
spellingShingle López, A.E.R.
Lombardo, F.C.
Quantum electrodynamics of inhomogeneous anisotropic media
author_facet López, A.E.R.
Lombardo, F.C.
author_sort López, A.E.R.
title Quantum electrodynamics of inhomogeneous anisotropic media
title_short Quantum electrodynamics of inhomogeneous anisotropic media
title_full Quantum electrodynamics of inhomogeneous anisotropic media
title_fullStr Quantum electrodynamics of inhomogeneous anisotropic media
title_full_unstemmed Quantum electrodynamics of inhomogeneous anisotropic media
title_sort quantum electrodynamics of inhomogeneous anisotropic media
url http://hdl.handle.net/20.500.12110/paper_14346044_v75_n2_p_Lopez
work_keys_str_mv AT lopezaer quantumelectrodynamicsofinhomogeneousanisotropicmedia
AT lombardofc quantumelectrodynamicsofinhomogeneousanisotropicmedia
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