Order-by-order Analytic Solution to the BFKL Equation

We propose a regularization of the BFKL equation which allows for its solution in each order of perturbation theory by means of a sum over multiple poles. This sum can be presented in a rather simple formula for the Fourier transform in the azimuthal angle of the gluon Green function. In order to te...

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Detalles Bibliográficos
Autores principales: Ross, D.A., Sabio Vera, Agustin
Lenguaje:eng
Publicado: 2014
Materias:
hep-th
Acceso en línea:http://cds.cern.ch/record/1746921
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author Ross, D.A.
Sabio Vera, Agustin
author_facet Ross, D.A.
Sabio Vera, Agustin
author_sort Ross, D.A.
collection CERN
description We propose a regularization of the BFKL equation which allows for its solution in each order of perturbation theory by means of a sum over multiple poles. This sum can be presented in a rather simple formula for the Fourier transform in the azimuthal angle of the gluon Green function. In order to test our method, we have compared a few orders in the expansion to previous results by Del Duca, Dixon, Duhr and Pennington, finding agreement. Our formalism is general and can be applied to other, more complicated, kernels.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2014
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spelling cern-17469212023-03-14T17:56:09Zhttp://cds.cern.ch/record/1746921engRoss, D.A.Sabio Vera, AgustinOrder-by-order Analytic Solution to the BFKL Equationhep-thWe propose a regularization of the BFKL equation which allows for its solution in each order of perturbation theory by means of a sum over multiple poles. This sum can be presented in a rather simple formula for the Fourier transform in the azimuthal angle of the gluon Green function. In order to test our method, we have compared a few orders in the expansion to previous results by Del Duca, Dixon, Duhr and Pennington, finding agreement. Our formalism is general and can be applied to other, more complicated, kernels.We propose a regularization of the BFKL equation which allows for its solution in each order of perturbation theory by means of a sum over multiple poles. This sum can be presented in a rather simple formula for the Fourier transform in the azimuthal angle of the gluon Green function. In order to test our method, we have compared a few orders in the expansion to previous results by Del Duca, Dixon, Duhr and Pennington, finding agreement. Our formalism is general and can be applied to other, more complicated, kernels.arXiv:1407.8057oai:cds.cern.ch:17469212014-07-30
spellingShingle hep-th
Ross, D.A.
Sabio Vera, Agustin
Order-by-order Analytic Solution to the BFKL Equation
title Order-by-order Analytic Solution to the BFKL Equation
title_full Order-by-order Analytic Solution to the BFKL Equation
title_fullStr Order-by-order Analytic Solution to the BFKL Equation
title_full_unstemmed Order-by-order Analytic Solution to the BFKL Equation
title_short Order-by-order Analytic Solution to the BFKL Equation
title_sort order-by-order analytic solution to the bfkl equation
topic hep-th
url http://cds.cern.ch/record/1746921
work_keys_str_mv AT rossda orderbyorderanalyticsolutiontothebfklequation
AT sabioveraagustin orderbyorderanalyticsolutiontothebfklequation

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