Radiatively induced non linearity in the Walecka model

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Main Author: Rafael Cavagnoli
Format: Artículo científico
Language:en
Published: Sociedade Brasileira de Física 2010
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author Rafael Cavagnoli
author_facet Rafael Cavagnoli
contents Radiatively induced non linearity in the Walecka model Rafael Cavagnoli Marcus Benghi Pinto Física, Astronomía y Matemáticas Walecka model Nuclear matter Renormalization Finite densities Vacuum corrections We evaluate the effective potential for the conventional linear Walecka non perturbatively up to one loop. This quantity is then renormalized with a prescription which allows finite vacuum contributions to the three as well as four 1PI Green's functions to survive. These terms, which are absent in the standard relativistic Hartree approximation, have a logarithmic energy scale dependence that can be tuned so as to mimic the effects of ø³ and ø4 type of terms present in the non linear Walecka model improving quantities such as the compressibility modulus and the effective nucleon mass, at saturation, by considering energy scales which are very close to the nucleon mass at vanishing density. 2010 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46415799014 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.4 Vol.40
format Artículo científico
id redalyc_46415799014
institution Redalyc
language en
publishDate 2010
publisher Sociedade Brasileira de Física
spellingShingle Radiatively induced non linearity in the Walecka model
Rafael Cavagnoli
Física, Astronomía y Matemáticas
Walecka model
Nuclear matter
Renormalization
Finite densities
Vacuum corrections
Radiatively induced non linearity in the Walecka model Rafael Cavagnoli Marcus Benghi Pinto Física, Astronomía y Matemáticas Walecka model Nuclear matter Renormalization Finite densities Vacuum corrections We evaluate the effective potential for the conventional linear Walecka non perturbatively up to one loop. This quantity is then renormalized with a prescription which allows finite vacuum contributions to the three as well as four 1PI Green's functions to survive. These terms, which are absent in the standard relativistic Hartree approximation, have a logarithmic energy scale dependence that can be tuned so as to mimic the effects of ø³ and ø4 type of terms present in the non linear Walecka model improving quantities such as the compressibility modulus and the effective nucleon mass, at saturation, by considering energy scales which are very close to the nucleon mass at vanishing density. 2010 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46415799014 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.4 Vol.40
title Radiatively induced non linearity in the Walecka model
topic Física, Astronomía y Matemáticas
Walecka model
Nuclear matter
Renormalization
Finite densities
Vacuum corrections
url https://www.redalyc.org/articulo.oa?id=46415799014