IEET2

Evolution equations for composite operators and AdS/CFT integrability

 Coordinatore HUMBOLDT-UNIVERSITAT ZU BERLIN 

 Organization address address: UNTER DEN LINDEN 6
city: BERLIN
postcode: 10099

contact info
Nome: Renate
Cognome: Ubachs
Email: send email
Telefono: +49 30 2093 70751
Fax: +49 30 2093 70779

 Nazionalità Coordinatore Germany [DE]
 Totale costo 223˙778 €
 EC contributo 223˙778 €
 Programma FP7-PEOPLE
Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
 Code Call FP7-PEOPLE-2012-IIF
 Funding Scheme MC-IIF
 Anno di inizio 2013
 Periodo (anno-mese-giorno) 2013-06-01   -   2015-05-31

 Partecipanti

# participant  country  role  EC contrib. [€] 
1    HUMBOLDT-UNIVERSITAT ZU BERLIN

 Organization address address: UNTER DEN LINDEN 6
city: BERLIN
postcode: 10099

contact info
Nome: Renate
Cognome: Ubachs
Email: send email
Telefono: +49 30 2093 70751
Fax: +49 30 2093 70779

DE (BERLIN) coordinator 223˙778.40

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equations    description    perturbative    scattering    integrability    discovered    theory    operators    ads    limit    cft    planar    exactly    experiments    theoretical    investigations    composite    energy    evolution   

 Obiettivo del progetto (Objective)

Quantum field theory gives the excellent description for the electromagnetic, weak and strong fundamental interactions by means of perturbative expansion in the coupling constant. It allows to obtain results, which can be compared with experiments. In some cases the large logarithms are appeared in perturbative calculations and they should be sum exactly, i.e. in all orders of perturbative theory. Arising evolution equations are widely used for the theoretical description of the high energy scattering processes, which extensively studied at LHC and other experiments at colliders. During forty years of investigations a lot of remarkable properties related with these evolution equations were found. In particular, as the most important, the connection between high-energy scattering and the exactly solvable two-dimensional field-theoretical models was discovered. The similar integrability was discovered under investigation of composite operators in the planar limit of the famous AdS/CFT-correspondence. In this project we are going to extend the investigations of integrability for other evolution equations in the framework of planar gauge/string duality and beyond planar limit within the collaboration between Applicant as expert in considered evolution equations and the Research Group from Host Institute as experts in AdS/CFT integrability. We shall calculate the higher-loop anomalous dimensions of composite operators and study their properties. Obtained results will used for the test of available and the development of new methods.

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