TY - JOUR

T1 - Langevin equation in effective theory of interacting QCD pomerons in the limit of large Nc

AU - Bondarenko, S.

N1 - Funding Information:
I am especially grateful to Leszek Motyka and Mikhail Braun for the discussion on the subject of the paper. I thank also E. Levin, N. Armesto and C. Pajares for the interesting discussions and useful comments I also gratefully acknowledge the support of the Ministerio de Educacion y Ciencia of Spain under project FPA2005-01963, and by Xunta de Galicia (Conselleria de Edu-cacion).

PY - 2007/8/15

Y1 - 2007/8/15

N2 - Effective field theory of interacting BFKL pomerons is investigated and Langevin equation for the theory, which arises after the introduction of additional auxiliary field, is obtained. The Langevin equations are considered for the case of interacting BFKL pomerons with both splitting and merging vertexes and for the interaction which includes additional "toy" four pomeron interaction vertex. In the latest case an analogy with the Regge field theory in zero dimensions (RFT-0) was used in order to obtain this "toy" vertex, which coincided with the four point function of two-dimensional conformal field theory obtained in [G.P. Korchemsky, Nucl. Phys. B 550 (1999) 397]. The comparison between the Langevin equations obtained in the frameworks of dipole and RFT approaches is performed, the interpretation of results is given and possible application of obtained equations is discussed.

AB - Effective field theory of interacting BFKL pomerons is investigated and Langevin equation for the theory, which arises after the introduction of additional auxiliary field, is obtained. The Langevin equations are considered for the case of interacting BFKL pomerons with both splitting and merging vertexes and for the interaction which includes additional "toy" four pomeron interaction vertex. In the latest case an analogy with the Regge field theory in zero dimensions (RFT-0) was used in order to obtain this "toy" vertex, which coincided with the four point function of two-dimensional conformal field theory obtained in [G.P. Korchemsky, Nucl. Phys. B 550 (1999) 397]. The comparison between the Langevin equations obtained in the frameworks of dipole and RFT approaches is performed, the interpretation of results is given and possible application of obtained equations is discussed.

UR - http://www.scopus.com/inward/record.url?scp=34547661511&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysa.2007.05.010

DO - 10.1016/j.nuclphysa.2007.05.010

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AN - SCOPUS:34547661511

SN - 0375-9474

VL - 792

SP - 264

EP - 287

JO - Nuclear Physics A

JF - Nuclear Physics A

IS - 3-4

ER -