Author: b

Specialization: 010700/17 Theoretical and mathematical physics
Program: 28 Elementary particles interaction theory and quantum field theory
Head Program: Prof. M.A.Braun
Department of high energy physics and elementary paticles
Scientific supervisor: Dr. M.I.Vyazovsky
Reviewer: Prof. Yu.M.Pis'mak 

Calculation of the R→RRP and R→RRRP 
vertices in the effective Lipatov theory.
Semyon Pozdnyakov

The effective theory describing the perturbative interaction of gluons and quarks with the independent reggeon field was suggested by L.N.Lipatov. The effective theory allows to simplify calculation of the processes of quantum chromodynamics in the Regge kinematics.
This work is devoted to the calculation of the tree-level amplitude of the emission of three reggeons by a quark with a gluon production within the Lipatov effective theory. This calculation is a part of the work on computing of the total inclusive cross-section off the nucleus at high energy. Calculations of the non-local vertices “reggeon→2 reggeons+gluon” (R→RRP) and “reggeon→3 reggeons+gluon” (R→RRRP) are presented, the expression for the R→RRRP vertex is the original result of this work. Also, the restoration of usual Feynman singularities in the sum of all diagrams of the studied process  is proved.