WKB quantization of reggeon compound states in high-energy QCD

نویسنده

  • G. P. Korchemsky
چکیده

We study the spectrum of the reggeized gluon compound states in high-energy QCD. The energy of the states depends on the total set of quantum numbers whose values are constrained by the quantization conditions. To establish their explicit form we apply the methods of nonlinear WKB analysis to the Schrödinger equation for the N reggeon state in the separated coordinates. We solve the quantization conditions for the N = 3 reggeon states in the leading order of the WKB expansion and observe a good agreement of the obtained spectrum of quantum numbers with available exact solutions. ∗Laboratoire associé au Centre National de la Recherche Scientifique (URA D063)

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Quasiclassical QCD Pomeron

The Regge behaviour of the scattering amplitudes in perturbative QCD is governed in the generalized leading logarithmic approximation by the contribution of the color–singlet compound states of Reggeized gluons. The interaction between Reggeons is described by the effective hamiltonian, which in the multi–color limit turns out to be identical to the hamiltonian of the completely integrable one–...

متن کامل

Bethe Ansatz for QCD Pomeron ∗

The equivalence is found between high–energy QCD in the generalized leading logarithmic approximation and the one-dimensional Heisenberg magnet. According to Regge theory, the high energy asymptotics of hadronic scattering amplitudes are related to singularities of partial waves in the complex angular momentum plane. In QCD, the partial waves are determined by nontrivial two-dimensional dynamic...

متن کامل

Multi - reggeon compound states and resummed anomalous dimensions in QCD

We perform the OPE analysis of the contribution of colour-singlet compound states of reggeized gluons to a generic hard process in QCD and calculate the spectrum of the corresponding higher twist anomalous dimensions in multi-colour limit. These states govern high energy asymptotics of the structure functions and their energies define the intercept of the Regge singularities both in the Pomeron...

متن کامل

Unitarity corrections from the high energy QCD effective action ∗

We investigate the derivation of reggeon transition vertices from Lipatov’s gauge invariant effective action for high energy processes in QCD. In particular we address the question of longitudinal integrations in order to reduce the vertices into the required purely transverse form. We explicitly derive the BFKL-kernel and verify vanishing of the 2-to-3 reggeon transition vertex. First results ...

متن کامل

Regge Poles in Qcd

Basic properties of Regge poles are reviewed. Regge poles are considered from both t-channel and s-channel points of view. The main part of the review is devoted to the Regge poles in QCD. The method of the Wilson-loop path integral is used to calculate trajectories of Regge poles for q − q̄ and gluonic states. The problem of the Pomeron in QCD is discussed in details. It is shown how to use the...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997