Schrödinger representation in curved space time
We present a compilation about the Schrödinger representation functional methods in the context of curved backgrounds. Specially, we focus on the representation compatible with the Fock ones. It is known that in QFT on curved space-time there should not be a preferred mode decomposition of the quant...
- Autores:
-
López Martínez, Daniel Alejandro
- Tipo de recurso:
- Fecha de publicación:
- 2021
- Institución:
- Universidad de los Andes
- Repositorio:
- Séneca: repositorio Uniandes
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.uniandes.edu.co:1992/54993
- Acceso en línea:
- http://hdl.handle.net/1992/54993
- Palabra clave:
- Quantum field theory on curved backgrounds
Schrödinger representation
Unruh effect
Física
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-sa/4.0/
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Schrödinger representation in curved space time |
| title |
Schrödinger representation in curved space time |
| spellingShingle |
Schrödinger representation in curved space time Quantum field theory on curved backgrounds Schrödinger representation Unruh effect Física |
| title_short |
Schrödinger representation in curved space time |
| title_full |
Schrödinger representation in curved space time |
| title_fullStr |
Schrödinger representation in curved space time |
| title_full_unstemmed |
Schrödinger representation in curved space time |
| title_sort |
Schrödinger representation in curved space time |
| dc.creator.fl_str_mv |
López Martínez, Daniel Alejandro |
| dc.contributor.advisor.none.fl_str_mv |
Téllez Acosta, Gabriel |
| dc.contributor.author.spa.fl_str_mv |
López Martínez, Daniel Alejandro |
| dc.contributor.jury.spa.fl_str_mv |
Nowakowski, Marek Quevedo, Hernando |
| dc.subject.keyword.none.fl_str_mv |
Quantum field theory on curved backgrounds Schrödinger representation Unruh effect |
| topic |
Quantum field theory on curved backgrounds Schrödinger representation Unruh effect Física |
| dc.subject.themes.none.fl_str_mv |
Física |
| description |
We present a compilation about the Schrödinger representation functional methods in the context of curved backgrounds. Specially, we focus on the representation compatible with the Fock ones. It is known that in QFT on curved space-time there should not be a preferred mode decomposition of the quantized field. This fact, usually is not presented in the naive Schrödinger representation, or at least the preferred modes are putted by hand and there is not a criterion of consistency, in first principles, with the Fock representation. In the paper of [Corichi et al., 2004], an attempt to find the relation between both representations is carried out using the C?-algebras, specifically Weyl algebras. This article is studied and the formalism required to understand it is developed. Additionally, the relation of the Minkowski, seen as a mixed stated and Rindlers vacuum is studied and displayed in terms of functionals. The sketch of a possible vacuum different of the constant one is proposed. |
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2021 |
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2021 |
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2022-02-22T19:48:28Z |
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2022-02-22T19:48:28Z |
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Trabajo de grado - Maestría |
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25561.pdf |
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78 páginas |
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Universidad de los Andes |
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Departamento de Física |
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Al consultar y hacer uso de este recurso, está aceptando las condiciones de uso establecidas por los autores.http://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Téllez Acosta, Gabrielvirtual::7314-1López Martínez, Daniel Alejandrob88ddcf6-e0d2-4915-8421-58d24bf25350500Nowakowski, MarekQuevedo, Hernando2022-02-22T19:48:28Z2022-02-22T19:48:28Z2021http://hdl.handle.net/1992/5499325561.pdfinstname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/We present a compilation about the Schrödinger representation functional methods in the context of curved backgrounds. Specially, we focus on the representation compatible with the Fock ones. It is known that in QFT on curved space-time there should not be a preferred mode decomposition of the quantized field. This fact, usually is not presented in the naive Schrödinger representation, or at least the preferred modes are putted by hand and there is not a criterion of consistency, in first principles, with the Fock representation. In the paper of [Corichi et al., 2004], an attempt to find the relation between both representations is carried out using the C?-algebras, specifically Weyl algebras. This article is studied and the formalism required to understand it is developed. Additionally, the relation of the Minkowski, seen as a mixed stated and Rindlers vacuum is studied and displayed in terms of functionals. The sketch of a possible vacuum different of the constant one is proposed.Presentamos una recopilación sobre los métodos funcionales de representación de Schrödinger en el contexto espacios curvos. En especial, nos centramos en la representación compatible con la de Fock. Se sabe que en QFT en espacio-tiempo curvo no debería haber una descomposición de modo preferido del campo cuantificado. Este hecho, por lo general, no se presenta en la representación de Schrödinger informal, o al menos los modos preferidos se ponen a mano y no existe un criterio de coherencia, en primeros principios, con la representación de Fock. En el trabajo de [Corichi et al., 2004], se realiza un intento de encontrar la relación entre ambas representaciones utilizando las C?-algebras, específicamente las álgebras de Weyl. Este artículo se estudia y se desarrolla el formalismo necesario para comprenderlo. Además, la relación de Minkowski, vista como un enunciado mixto y el vacío de Rindler, se estudia y muestra en términos de funcionales. Se propone el esquema de un posible vacío diferente al constante.Magíster en Ciencias - FísicaMaestría78 páginasapplication/pdfengUniversidad de los AndesMaestría en Ciencias - FísicaFacultad de CienciasDepartamento de FísicaSchrödinger representation in curved space timeTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionTexthttp://purl.org/redcol/resource_type/TMQuantum field theory on curved backgroundsSchrödinger representationUnruh effectFísica201317438Publicationhttps://scholar.google.es/citations?user=1JHuoIAAAAAJvirtual::7314-10000-0002-6357-260Xvirtual::7314-1https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0000077224virtual::7314-198ad9270-ae12-4bd0-9e5e-6ff873936418virtual::7314-198ad9270-ae12-4bd0-9e5e-6ff873936418virtual::7314-1THUMBNAIL25561.pdf.jpg25561.pdf.jpgIM Thumbnailimage/jpeg7090https://repositorio.uniandes.edu.co/bitstreams/d43f92ec-cd53-4f91-90e0-2555c12e6d5f/download8e1893635948164c0ba12a53c0b6969cMD53ORIGINAL25561.pdfapplication/pdf679144https://repositorio.uniandes.edu.co/bitstreams/e8148bf6-3ed5-40b6-936b-3af7039ac926/downloadfae9d3423e4a25066afbbe9f16b0037dMD51TEXT25561.pdf.txt25561.pdf.txtExtracted texttext/plain149675https://repositorio.uniandes.edu.co/bitstreams/74c0de17-5a8b-44a2-8578-2524b55c0f9a/download40f835a142ea691fc1f742c59d1e62d3MD521992/54993oai:repositorio.uniandes.edu.co:1992/549932024-03-13 13:24:11.856http://creativecommons.org/licenses/by-nc-sa/4.0/open.accesshttps://repositorio.uniandes.edu.coRepositorio institucional Sénecaadminrepositorio@uniandes.edu.co |