---
title: "Aspects of Causality and Unitarity and Comments on Vortex-like Configurations in an Abelian Model with a Lorentz-Breaking Term • CBPF Index"
description: "CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF."
canonical_url: "https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbaf9d"
locale: es
meta:
  "og:description": "CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF."
  "og:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_Aspects%2Bof%2BCausality%2Band%2BUnitarity%2Band%2BComments%2Bon%2BVortex-like%2BConfigurations%2Bin%2Ban%2BAbelian%2BModel%2Bwith%2Ba%2BLorentz-Breaking%2BTerm%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_~QS5QLiBCYcOqdGEgU2NhcnBlbGxpOyBILiBCZWxpY2ggSnI7IEouIEwuIEJvbGRvOyBKb3PDqSBBYmRhbGxhIEhlbGF5ZWwgTmV0bw%2Cdetalhe_2003%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmFmOWQi%2Cs_wIz6aHH2V0WrMLbg.png"
  "og:image:height": "600"
  "og:image:type": image/png
  "og:image:width": "1200"
  "og:title": "Aspects of Causality and Unitarity and Comments on Vortex-like Configurations in an Abelian Model with a Lorentz-Breaking Term • CBPF Index"
  "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_Aspects%2Bof%2BCausality%2Band%2BUnitarity%2Band%2BComments%2Bon%2BVortex-like%2BConfigurations%2Bin%2Ban%2BAbelian%2BModel%2Bwith%2Ba%2BLorentz-Breaking%2BTerm%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_~QS5QLiBCYcOqdGEgU2NhcnBlbGxpOyBILiBCZWxpY2ggSnI7IEouIEwuIEJvbGRvOyBKb3PDqSBBYmRhbGxhIEhlbGF5ZWwgTmV0bw%2Cdetalhe_2003%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmFmOWQi%2Cs_wIz6aHH2V0WrMLbg.png"
---

> Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt)

**Nota de Física****Publicado**

# **Aspects of Causality and Unitarity and Comments on Vortex-like Configurations in an Abelian Model with a Lorentz-Breaking Term**

**A.P. Baêta Scarpelli; H. Belich Jr; J. L. Boldo; José Abdalla Helayel Neto**

2003

[**Descargar PDF **0,2 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbaf9d/pdf) [**Contactar al responsable**](mailto:apub@cbpf.br?subject=Aspects%20of%20Causality%20and%20Unitarity%20and%20Comments%20on%20Vortex-like%20Configurations%20in%20an%20Abelian%20Model%20with%20a%20Lorentz-Breaking%20Term)

## **Datos de la publicación**

<dl>

<dt>Autores</dt>
<dd>A.P. Baêta Scarpelli; H. Belich Jr; J. L. Boldo; José Abdalla Helayel Neto</dd>

<dt>Tipo</dt>
<dd>Nota de Física</dd>

<dt>Estado</dt>
<dd>Publicado</dd>

<dt>Fecha de publicación</dt>
<dd>2003</dd>

<dt>Descripción</dt>
<dd>The gauge-invariant Chern-Simons-type Lorentz- and CPT-breaking term is here reassessed and a spin-projector method is adopted to account for the breaking (vector) parameter. Issues like causality, unitarity, spontaneous gauge-symmetry breaking and vortex formation are investigated, and consistency conditions on the external vector are identified.</dd>

<dt>Año</dt>
<dd>2003</dd>

<dt>Número</dt>
<dd>CBPF-NF-035/03</dd>

<dt>Vínculo con tesis</dt>
<dd>No</dd>

<dt>Vínculo con beca</dt>
<dd>No</dd>

</dl>

```json
{"@context":"https://schema.org","@graph":[{"@id":"https://index.cbpf.br/es#website","@type":"WebSite","description":"O CBPF INDEX é o sistema de acompanhamento da produção científica e tecnológica do CBPF. Nele é possível obter a lista de publicações de artigos, livros, relatórios técnicos, etc de toda a comunidade do CBPF.","inLanguage":"es-ES","name":"CBPF Index","url":"https://index.cbpf.br/es","publisher":{"@id":"https://index.cbpf.br/#identity"},"translationOfWork":{"@id":"https://index.cbpf.br/#website"}},{"@id":"https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbaf9d#webpage","@type":"WebPage","description":"CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF.","name":"Aspects of Causality and Unitarity and Comments on Vortex-like Configurations in an Abelian Model with a Lorentz-Breaking Term","url":"https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbaf9d","isPartOf":{"@id":"https://index.cbpf.br/es#website"},"potentialAction":[{"@type":"ReadAction","target":["https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbaf9d"]}],"primaryImageOfPage":{"@id":"https://index.cbpf.br/#logo"}},{"@id":"https://index.cbpf.br/#identity","@type":"Organization","alternateName":"CBPF","description":"Unidade de pesquisa do Ministério da Ciência, Tecnologia e Inovação dedicada à pesquisa básica em Física, suas aplicações e à formação científica.","email":"web@cbpf.br","legalName":"Centro Brasileiro de Pesquisas Físicas/CBPF","name":"Centro Brasileiro de Pesquisas Físicas","taxID":"04.044.443/0001-35","telephone":"+55-21-2141-7100","url":"https://cbpf.br","address":{"@type":"PostalAddress","streetAddress":"Rua Dr. Xavier Sigaud, 150","addressLocality":"Rio de Janeiro","addressRegion":"RJ","postalCode":"22290-180","addressCountry":"BR"},"logo":{"@id":"https://index.cbpf.br/#logo"},"sameAs":["https://twitter.com/cbpf_mcti"]},{"@id":"https://index.cbpf.br/#logo","@type":"ImageObject","caption":"Centro Brasileiro de Pesquisas Físicas","contentUrl":"https://index.cbpf.br/icon-512x512-light.png","inLanguage":"es-ES","url":"https://index.cbpf.br/icon-512x512-light.png"}]}
```

## Sitemap

See the full [sitemap](https://index.cbpf.br/sitemap.md) for all pages.