BK Equation and Traveling Wave Solutions

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Autor principal: M. A. Betemps
Formato: Artículo científico
Lenguaje:en
Publicado: Sociedade Brasileira de Física 2007
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author M. A. Betemps
author_facet M. A. Betemps
contents BK Equation and Traveling Wave Solutions M. A. Betemps J. T. de Santana Amaral G. Soyez M. B. Gay Ducati Física, Astronomía y Matemáticas Traveling waves Transition to saturation It has been shown that the transition to the saturation regime of high energy QCD is similar to the formationof the front of a traveling wave. In particular, it can be verified that Balitsky-Kovchegov (BK) evolution equationreduces, after some approximations, to the nonlinear Fisher and Kolmogorov-Petrovsky-Piscounov (FKPP)equation, well-known from statistical physics. In these proceedings, based on the current knowledge of theasymptotic solutions of the BK equation, we propose a parametrization for the forward scattering amplitudewhich interpolates between the traveling wave solution and the saturation region. 2007 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46437432 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.2B Vol.37
format Artículo científico
id redalyc_46437432
institution Redalyc
language en
publishDate 2007
publisher Sociedade Brasileira de Física
spellingShingle BK Equation and Traveling Wave Solutions
M. A. Betemps
Física, Astronomía y Matemáticas
Traveling waves
Transition to saturation
BK Equation and Traveling Wave Solutions M. A. Betemps J. T. de Santana Amaral G. Soyez M. B. Gay Ducati Física, Astronomía y Matemáticas Traveling waves Transition to saturation It has been shown that the transition to the saturation regime of high energy QCD is similar to the formationof the front of a traveling wave. In particular, it can be verified that Balitsky-Kovchegov (BK) evolution equationreduces, after some approximations, to the nonlinear Fisher and Kolmogorov-Petrovsky-Piscounov (FKPP)equation, well-known from statistical physics. In these proceedings, based on the current knowledge of theasymptotic solutions of the BK equation, we propose a parametrization for the forward scattering amplitudewhich interpolates between the traveling wave solution and the saturation region. 2007 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46437432 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.2B Vol.37
title BK Equation and Traveling Wave Solutions
topic Física, Astronomía y Matemáticas
Traveling waves
Transition to saturation
url https://www.redalyc.org/articulo.oa?id=46437432