On the matching method and the Goldstone theorem in holography
We study the transition of a scalar field in a fixed AdS <sub>d+1</sub> background between an extremum and a minimum of a potential. We compute analytically the solution to the perturbation equation for the vev deformation case by generalizing the usual matching method to higher orders a...
Guardado en:
| Autores principales: | , |
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| Formato: | Articulo Preprint |
| Lenguaje: | Inglés |
| Publicado: |
2013
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| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/98357 https://ri.conicet.gov.ar/11336/23485 https://link.springer.com/article/10.1007%2FJHEP07%282013%29056 https://arxiv.org/abs/1304.3051 |
| Aporte de: |
| Sumario: | We study the transition of a scalar field in a fixed AdS <sub>d+1</sub> background between an extremum and a minimum of a potential. We compute analytically the solution to the perturbation equation for the vev deformation case by generalizing the usual matching method to higher orders and find the propagator of the boundary theory operator defined through the AdS-CFT correspondence. We show that, contrary to what happens at the leading order of the matching method, the next-to-leading order presents a simple pole at q <sup>2</sup> = 0 in accordance with the Goldstone theorem applied to a spontaneously broken dilatation invariance. |
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