A Simple Model for the Bfkl-dglap Transition

نویسنده

  • GÖSTA GUSTAFSON
چکیده

When k⊥ is large and 1/x is limited we are in the DGLAP regime, and when 1/x is large and k⊥ is limited we are in the BFKL regime. An essential question is then: What is large? Where is the boundary between the regimes, and what is the behaviour in the transition region? We will here present a simple interpolating model, which can illuminate these questions. The model is relevant for small x, and has a smooth transition between large k⊥, where ordered chains dominate, and small k⊥, where non-ordered chains are most important. We will first discuss the case of a fixed coupling, and after that the case with a running coupling. The results are obtained in collaboration with Gabriela Miu, and a more extensive presentation is given in ref. 1.

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

A Simple Model for the BFKL-DGLAP Transition in Deep Inelastic Scattering

A simple model is presented, which interpolates between the DGLAP and BFKL regimes in deep inelastic ep scattering. The model is based on the CCFM and LDC models, and it is simple enough to provide an intuitive picture of the transition region between the two domains. Results are presented for both fixed and running coupling; for fixed coupling the transition between the domains occurs at a con...

متن کامل

2 00 1 DGLAP and BFKL evolution equations in the N = 4 supersymmetric gauge theory

We discuss DGLAP and BFKL evolution equations in the N = 4 supersymmetric gauge theory in the leading and next-to-leading approximations. Eigenvalues of the BFKL kernel in this model turn out to be analytic functions of the conformal spin. It allows us to find the residues of the anomalous dimensions of the twist-2 operators in the points j = 1, 0,−1, .... from the BFKL equation in an agreement...

متن کامل

DGLAP and BFKL equations in the N = 4 supersymmetric gauge theory

We derive DGLAP and BFKL evolution equations in the N = 4 supersymmetric gauge theory in the next-to-leading approximation. The eigenvalue of the BFKL kernel in this model turns out to be an analytic function of the conformal spin |n|. Its analytic continuation to negative |n| in the leading logarithmic approximation allows us to obtain the residues of the anomalous dimensions of the twist-2 op...

متن کامل

DGLAP and BFKL Equations in N = 4 Supersymmetric Gauge Theory

We show the results for the DGLAP and BFKL evolution equations in the N = 4 supersymmetric gauge theory obtained earlier in the next-to-leading approximation. The eigenvalue of the BFKL kernel in this model turns out to be an analytic function of the conformal spin |n|. The corresponding kernel for the Bethe–Salpeter equation has the property of the Hermitian separability. The anomalous dimensi...

متن کامل

ar X iv : h ep - p h / 02 08 22 0 v 3 1 4 A ug

We derive the DGLAP and BFKL evolution equations in the N = 4 supersymmetric gauge theory in the next-to-leading approximation. The eigenvalue of the BFKL kernel in this model turns out to be an analytic function of the conformal spin |n|. Its analytic continuation to negative |n| in the leading logarithmic approximation allows us to obtain residues of anomalous dimensions γ of twist-2 operator...

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 2001