Boundary dynamics and multiple reflection expansion for Robin boundary conditions

In the presence of a boundary interaction, Neumann boundary conditions should be modified to contain a function S of the boundary fields: (∇<sub>N</sub> + S) φ = 0. Information on quantum boundary dynamics is then encoded in the S-dependent part of the effective action. In the present pa...

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Autores principales: Bordag, Michael, Falomir, Horacio Alberto, Santángelo, Eve Mariel, Vassilevich, Dmitri
Formato: Articulo
Lenguaje:Inglés
Publicado: 2002
Materias:
Ciencias Exactas
Física
boundary dynamics
Robin boundary condition
Physics
Neumann boundary condition
heat kernel
effective action
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126019
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-126019
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
boundary dynamics
Robin boundary condition
Physics
Neumann boundary condition
heat kernel
effective action
spellingShingle Ciencias Exactas
Física
boundary dynamics
Robin boundary condition
Physics
Neumann boundary condition
heat kernel
effective action
Bordag, Michael
Falomir, Horacio Alberto
Santángelo, Eve Mariel
Vassilevich, Dmitri
Boundary dynamics and multiple reflection expansion for Robin boundary conditions
topic_facet Ciencias Exactas
Física
boundary dynamics
Robin boundary condition
Physics
Neumann boundary condition
heat kernel
effective action
description In the presence of a boundary interaction, Neumann boundary conditions should be modified to contain a function S of the boundary fields: (∇<sub>N</sub> + S) φ = 0. Information on quantum boundary dynamics is then encoded in the S-dependent part of the effective action. In the present paper we extend the multiple reflection expansion method to the Robin boundary conditions mentioned above, and calculate the heat kernel and the effective action (i) for constant S, (ii) to the order S² with an arbitrary number of tangential derivatives. Some applications to symmetry breaking effects, tachyon condensation and a brane world are briefly discussed.
format Articulo
Articulo
author Bordag, Michael
Falomir, Horacio Alberto
Santángelo, Eve Mariel
Vassilevich, Dmitri
author_facet Bordag, Michael
Falomir, Horacio Alberto
Santángelo, Eve Mariel
Vassilevich, Dmitri
author_sort Bordag, Michael
title Boundary dynamics and multiple reflection expansion for Robin boundary conditions
title_short Boundary dynamics and multiple reflection expansion for Robin boundary conditions
title_full Boundary dynamics and multiple reflection expansion for Robin boundary conditions
title_fullStr Boundary dynamics and multiple reflection expansion for Robin boundary conditions
title_full_unstemmed Boundary dynamics and multiple reflection expansion for Robin boundary conditions
title_sort boundary dynamics and multiple reflection expansion for robin boundary conditions
publishDate 2002
url http://sedici.unlp.edu.ar/handle/10915/126019
work_keys_str_mv AT bordagmichael boundarydynamicsandmultiplereflectionexpansionforrobinboundaryconditions
AT falomirhoracioalberto boundarydynamicsandmultiplereflectionexpansionforrobinboundaryconditions
AT santangeloevemariel boundarydynamicsandmultiplereflectionexpansionforrobinboundaryconditions
AT vassilevichdmitri boundarydynamicsandmultiplereflectionexpansionforrobinboundaryconditions
bdutipo_str Repositorios
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