Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-09-21
JHEP0611:083,2006
Physics
High Energy Physics
High Energy Physics - Phenomenology
32 pages, one reference corrected. to appear in JHEP
Scientific paper
10.1088/1126-6708/2006/11/083
We develop an approach for calculating the inclusive multigluon production within the JIMWLK high energy evolution. We give a formal expression of multigluon cross section in terms of a generating functional for arbitrary number of gluons $n$. In the dipole limit the expression simplifies dramatically. We recover the previously known results for single and double gluon inclusive cross section and generalize those for arbitrary multigluon amplitude in terms of Feynman diagramms of Pomeron - like objects coupled to external rapidity dependent field $s(\eta)$. We confirm the conclusion that the AGK cutting rules in general are violated in multigluon production. However we present an argument to the effect that for doubly inclusive cross section the AGK diagramms give the leading contribution at high energy, while genuine violation only occurs for triple and higher inclusive gluon production. We discuss some general properties of our expressions and suggest a line of argument to simplify the approach further.
Kovner Alex
Lublinsky Michael
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