Correcciones a la entropía de entrelazado y la constante de Newton. / Corrections to entanglement entropy and the Newton´s constant.

Testé Lino, Eduardo (2013) Correcciones a la entropía de entrelazado y la constante de Newton. / Corrections to entanglement entropy and the Newton´s constant. Master in Physical Sciences, Universidad Nacional de Cuyo, Instituto Balseiro.

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Abstract in Spanish

La entropía de entrelazado es una magnitud relevante en diversas áreas de la física, que ha sido relacionada con varias magnitudes de la teoría de campos. En este trabajo proponemos una fórmula para el término de área de la entropía de entrelazado de un campo cuántico arbitrario en términos de correadores de la traza del tensor de energía impulso. Esta igualdad es sugerida por la fórmula de Bekenstein-Hawking que relaciona la entropía de un agujero negro con el área del horizonte de eventos y la constante de Newton. En el caso de la entropía de entrelazado, existe una relación similar entre el término de área de la misma y la corrección ΔG"-1 a la constante de Newton que hace un campo cuantico. Para calcular ΔG"-1, derivamos una generalizacion a toda dimension de una formula debida a Adler, lo que nos permite establecer la igualdad que proponemos en cualquier dimension. Comprobamos por calculos explcitos que la igualdad se cumple para los campos libres escalar y fermionico en todas las dimensiones.

Abstract in English

The entanglement entropy is a useful magnitude in many branches of theoretical physics; in particular, it has been related with magnitudes of quantum field theory. In this work we propose a formula for the area term of the entanglement entropy of a quantum field in terms of the correlator of the trace of the energy momentum tensor. This equality is suggested by the Bekenstein-Hawking's relation among the entropy of a black hole, the area of the event horizon and the Newton's constant. In the case of the entanglement entropy there exist a similar relation between the area term and the correction ΔG"-1 to the Newton's constant that made a quantum field. For getting ΔG"-1 (and hence the proposed formula), we use a generalization to any dimension of a formula due to Adler. We check by explicit calculations that the proposed formula holds for free scalar and fermions fields in any dimensions.

Item Type:Thesis (Master in Physical Sciences)
Keywords:Entropy; Entropía; Quantum field theory; Teoría del campo cuántico; Black holes; Agujeros negros; [Entanglement entropy; Entropía de entrelazado; Geometric entropy; Entropía geométrica; Renormalization of Newton's constant; Renormalización de la constante de Newton]
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Subjects:Physics
Divisions:Gcia. de área de Investigación y aplicaciones no nucleares > Gcia. de Física > Sistemas complejos y altas energías > Partículas y campos
ID Code:433
Deposited By:Marisa G. Velazco Aldao
Deposited On:31 Mar 2014 14:00
Last Modified:03 Apr 2014 15:23

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