منابع مشابه
Fulfillment of the Strong Bootstrap Condition
The self-consistency of the assumption of Reggeized form of the production amplitudes in multi-Regge kinematics, which are used in the derivation of the BFKL equation, leads to strong bootstrap conditions. The fulfillment of these conditions opens the way to a rigorous proof of the BFKL equation in the next-to-leading approximation. The strong bootstrap condition for the kernel of the BFKL equa...
متن کاملThe Bootstrap Conditions for the Gluon Reggeization
Compatibility of gluon Reggeization with s-channel unitarity requires the vertices of the Reggeon interactions to satisfy a series of bootstrap conditions. In order to derive, in the next-to-leading order (NLO), conditions related to the gluon production amplitudes, we calculate the s-channel discontinuities of these amplitudes and compare them with those required by the Reggeization. It turns ...
متن کاملRandom Graphs And The Strong Convergence Of Bootstrap Means
We consider graphs Gn generated by multisets In with n random integers as elements, such that vertices of Gn are connected by edges if the elements of In that the vertices represent are the same, and prove asymptotic results on the sparsity of edges connecting the different subgraphs Gn of the random graph generated by ∪∞n=1In. These results are of independent interest and, for two models of th...
متن کاملA Proof of Fulfillment of the Strong Bootstrap Condition
It is shown that the kernel of the BFKL equation for the octet color state of two Reggeized gluons satisfies the strong bootstrap condition in the next-to-leading order. This condition is much more restrictive than the one obtained from the requirement of Reggeized form for the elastic scattering amplitudes in the next-to-leading approximation. It is necessary, however, for self-consistency of ...
متن کاملCheck of the Bootstrap Conditions for the Gluon Reggeization
The property of gluon Reggeization plays an essential role in the derivation of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation for the cross sections at high energy √ s in perturbative QCD. This property has been proved to all orders of perturbation theory in the leading logarithmic approximation and it is assumed to be valid also in the next-to-leading logarithmic approximation, where it ha...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 2000
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(00)01260-0